From e47a681f304ebd8d9a7caadacb658a77f59974e4 Mon Sep 17 00:00:00 2001
From: Series Laurent <laurent.series@polytechnique.edu>
Date: Wed, 18 Nov 2020 18:42:48 +0100
Subject: [PATCH] add include and demo directory

---
 .gitignore                   |      7 +
 demo/data/Head03_04kHz.ply   |    Bin 0 -> 77630 bytes
 demo/data/Head03_08kHz.ply   |    Bin 0 -> 325619 bytes
 demo/data/Head03_12kHz.ply   |    Bin 0 -> 732448 bytes
 demo/data/Head03_16kHz.ply   |    Bin 0 -> 1302030 bytes
 demo/data/Head03_20kHz.ply   |    Bin 0 -> 2242873 bytes
 demo/data/Oxyz_1e3.ply       |   3037 +
 demo/data/Oxyz_1e4.ply       |  27568 +++
 demo/data/Oxyz_1e5.ply       | 299221 +++++++++++++++++++++++++++++++
 demo/data/unitSphere_1e3.ply |   3006 +
 demo/data/unitSphere_1e4.ply |  30006 ++++
 demo/data/unitSphere_1e5.ply | 300006 ++++++++++++++++++++++++++++++++
 demo/dirichlet.cpp           |    130 +
 demo/dirichletBW.cpp         |    143 +
 demo/head.cpp                |     97 +
 demo/neumann.cpp             |    129 +
 demo/neumannBW.cpp           |    143 +
 demo/overview_bem.cpp        |    309 +
 demo/overview_fem.cpp        |    310 +
 include/bem.hpp              |   1539 +
 include/fem.hpp              |   1539 +
 21 files changed, 667190 insertions(+)
 create mode 100644 .gitignore
 create mode 100755 demo/data/Head03_04kHz.ply
 create mode 100755 demo/data/Head03_08kHz.ply
 create mode 100755 demo/data/Head03_12kHz.ply
 create mode 100755 demo/data/Head03_16kHz.ply
 create mode 100755 demo/data/Head03_20kHz.ply
 create mode 100755 demo/data/Oxyz_1e3.ply
 create mode 100755 demo/data/Oxyz_1e4.ply
 create mode 100755 demo/data/Oxyz_1e5.ply
 create mode 100755 demo/data/unitSphere_1e3.ply
 create mode 100755 demo/data/unitSphere_1e4.ply
 create mode 100755 demo/data/unitSphere_1e5.ply
 create mode 100644 demo/dirichlet.cpp
 create mode 100644 demo/dirichletBW.cpp
 create mode 100644 demo/head.cpp
 create mode 100644 demo/neumann.cpp
 create mode 100644 demo/neumannBW.cpp
 create mode 100644 demo/overview_bem.cpp
 create mode 100644 demo/overview_fem.cpp
 create mode 100644 include/bem.hpp
 create mode 100644 include/fem.hpp

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..ceb1686
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,7 @@
+# Build directory
+build/
+xcode/
+.vscode/
+
+# Desktop Services Store (macOS)
+.DS_Store
diff --git a/demo/data/Head03_04kHz.ply b/demo/data/Head03_04kHz.ply
new file mode 100755
index 0000000000000000000000000000000000000000..fa85c39ebf6b8ac50905d4c6fca4c9f38b44a30f
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diff --git a/demo/data/Head03_12kHz.ply b/demo/data/Head03_12kHz.ply
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diff --git a/demo/data/Oxyz_1e3.ply b/demo/data/Oxyz_1e3.ply
new file mode 100755
index 0000000..e54b674
--- /dev/null
+++ b/demo/data/Oxyz_1e3.ply
@@ -0,0 +1,3037 @@
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+comment MyBEM generated PLY File
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diff --git a/demo/dirichlet.cpp b/demo/dirichlet.cpp
new file mode 100644
index 0000000..ba19399
--- /dev/null
+++ b/demo/dirichlet.cpp
@@ -0,0 +1,130 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : dirichlet.cpp                                 |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal                               |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Acoustical scattering using BEM with Dirichlet|
+ |  `---'  |                boundary condition                            |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/hmatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    // Load meshes
+    matrix<double> Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(Stri,Svtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","unitSphere_1e3.ply");
+    std::tie(Ptri,Pvtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","Oxyz_1e4.ply");
+    
+    // Graphical representation
+    figure fig;
+    trimesh(fig,Ptri,Pvtx);
+    trimesh(fig,Stri,Svtx);
+    
+    // Parameters
+    matrix<double> U = {-1,0,0};
+    double k = 5.85;
+    float tol = 1e-3;
+    
+    // FEM
+    tic();
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    toc();
+
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    auto Pinc = planeWave(Pvtx,U,k);
+    
+    // Identity matrix
+    tic();
+    auto Id = mass<std::complex<double>>(v);
+    toc();
+    
+    // Graphical representation
+    figure fig2;
+    spy(fig2,Id,"b","Id");
+    
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) G(x,y) u(y) dx dy
+    tic();
+    auto Sbndfct = [&v,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct);
+    toc();
+    disp(Sbnd);
+    
+    // Graphical representation
+    smatrix<logical> Sf, Sc;
+    tic();
+    std::tie(Sf,Sc) = spydata(Sbnd);
+    toc();
+    figure fig3;
+    spy(fig3,Sf,"r","full");
+    spy(fig3,Sc,"b","compr");
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    auto B = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+
+    // Solve linear system : S lambda = -PO
+    hmatrix<std::complex<double>> Lh,Uh;
+    tic();
+    std::tie(Lh,Uh) = lu(Sbnd,tol);
+    toc();
+    disp(Lh);
+    disp(Uh);
+    auto lambda = gmres(Sbnd,B,tol,100,Lh,Uh);
+    
+    // Boundary radiation
+    auto Pbnd = gmres(Id,mtimes(Sbnd,lambda),tol,100) + planeWave(v.dof(),U,k);
+    
+    // Domain radiation
+    tic();
+    auto Sdomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pdom = Pinc;
+    hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct,lambda,Pdom);
+    toc();
+    
+    // Graphical representation
+    figure fig4;
+    trimesh(fig4,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig4,Stri,Svtx,abs(Pbnd));
+    
+    // Infinite radiation
+    tic();
+    matrix<double> theta = transpose(linspace(0,2*M_PI,1e3));
+    matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta)));
+    auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2));
+    hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf);
+    toc();
+
+    // Graphical representation
+    figure fig5;
+    plot(fig5,theta,transpose(log(abs(Pinf))),{"-b"});
+
+    // Plot
+    drawnow(fig);
+    disp("done !");
+    return 0;
+}
diff --git a/demo/dirichletBW.cpp b/demo/dirichletBW.cpp
new file mode 100644
index 0000000..23ad4dd
--- /dev/null
+++ b/demo/dirichletBW.cpp
@@ -0,0 +1,143 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : dirichletBW.cpp                               |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal                               |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Acoustical scattering using BEM with Dirichlet|
+ |  `---'  |                boundary condition                            |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/hmatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    // Load meshes
+    matrix<double> Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(Stri,Svtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","unitSphere_1e3.ply");
+    std::tie(Ptri,Pvtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","Oxyz_1e4.ply");
+    
+    // Graphical representation
+    figure fig;
+    trimesh(fig,Ptri,Pvtx);
+    trimesh(fig,Stri,Svtx);
+    
+    // Parameters
+    matrix<double> U = {-1,0,0};
+    double k = 5.85;
+    float tol = 1e-3;
+    
+    // FEM
+    tic();
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    toc();
+
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    auto Pinc = planeWave(Pvtx,U,k);
+    
+    // Identity matrix
+    tic();
+    auto Id = mass<std::complex<double>>(v);
+    toc();
+
+    // Coupling coeff
+    std::complex<double> beta(0,0.5*k);
+    
+    // Left hand side : [1i*k*beta*S - (Id/2 + D)]
+    tic();
+    auto LHSfct = [&v,&u,&k,&beta,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return beta*singleLayer<std::complex<double>>(v,u,k,Ix,Iy)
+        - (0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy));
+    };
+    hmatrix<std::complex<double>> LHS(v.dof(),u.dof(),tol,LHSfct);
+    toc();
+    disp(LHS);
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    auto B = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+
+    // Solve linear system : [1i*k*beta*S - (Id/2 + D)] = P0
+    auto mu     = gmres(LHS,B,tol,100);
+    auto lambda = beta * mu;
+    
+    // Boundary radiation
+    tic();
+    auto Sbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2));
+    hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct,lambda,Pbnd);
+    hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,-mu,Pbnd);
+    toc();
+    Pbnd = gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k);
+    
+    // Domain radiation
+    tic();
+    auto Sdomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    auto Ddomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pdom = Pinc;
+    hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct,lambda,Pdom);
+    hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom);
+    toc();
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+    
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig2,Stri,Svtx,abs(Pbnd));
+
+    // Infinite radiation
+    tic();
+    matrix<double> theta = transpose(linspace(0,2*M_PI,1e3));
+    matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta)));
+    auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2));
+    hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf);
+    hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf);
+    toc();
+    
+    // Graphical representation
+    figure fig3;
+    plot(fig3,theta,transpose(log(abs(Pinf))),{"-b"});
+    
+    // Plot
+    drawnow(fig);
+    disp("done !");
+    return 0;
+}
diff --git a/demo/head.cpp b/demo/head.cpp
new file mode 100644
index 0000000..7ba825a
--- /dev/null
+++ b/demo/head.cpp
@@ -0,0 +1,97 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : head.cpp                                      |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal                               |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Acoustical scattering using BEM with Neumann  |
+ |  `---'  |                boundary condition                            |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/hmatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    // Load meshes
+    matrix<double> Svtx;
+    matrix<size_t> Stri;
+    std::tie(Stri,Svtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","Head03_04kHz.ply");
+    
+    // Graphical representation
+    figure fig;
+    trimesh(fig,Stri,Svtx);
+    
+    // Parameters
+    matrix<double> U = {0,0,-1};
+    double f = 4000;
+    double k = 2*M_PI*f/340;
+    float tol = 1e-3;
+    
+    // FEM
+    tic();
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    toc();
+    
+    // Identity matrix
+    tic();
+    auto Id = mass<std::complex<double>>(v);
+    toc();
+
+    // Left hand side : [-H]
+    tic();
+    auto LHSfct = [&v,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return -hypersingular<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    hmatrix<std::complex<double>> LHS(v.dof(),u.dof(),tol,LHSfct);
+    toc();
+    disp(LHS);
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    auto B = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve -H = -dnP0
+    hmatrix<std::complex<double>> Lh,Uh;
+    tic();
+    std::tie(Lh,Uh) = lu(LHS,1e-1);
+    toc();
+    disp(Lh);
+    disp(Uh);
+    auto mu = gmres(LHS,B,tol,100,Lh,Uh);
+    
+    // Boundary radiation
+    tic();
+    auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2));
+    hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,mu,Pbnd);
+    toc();
+    Pbnd = - gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k);
+    
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Stri,Svtx,real(Pbnd));
+    
+    // Export in .vtk file
+    triwrite("/Users/aussal/Desktop/resultats/","head.vtk",Stri,Svtx,real(Pbnd));
+    
+    // Plot
+    drawnow(fig);
+    disp("done !");
+    return 0;
+}
diff --git a/demo/neumann.cpp b/demo/neumann.cpp
new file mode 100644
index 0000000..4d8433e
--- /dev/null
+++ b/demo/neumann.cpp
@@ -0,0 +1,129 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : neumann.cpp                                   |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal                               |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Acoustical scattering using BEM with Neumann  |
+ |  `---'  |                boundary condition                            |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/hmatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    // Load meshes
+    matrix<double> Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(Stri,Svtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","unitSphere_1e3.ply");
+    std::tie(Ptri,Pvtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","Oxyz_1e4.ply");
+    
+    // Graphical representation
+    figure fig;
+    trimesh(fig,Ptri,Pvtx);
+    trimesh(fig,Stri,Svtx);
+    
+    // Parameters
+    matrix<double> U = {-1,0,0};
+    double k = 5.85;
+    float tol = 1e-3;
+    
+    // FEM
+    tic();
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    toc();
+
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    auto Pinc = planeWave(Pvtx,U,k);
+    
+    // Identity matrix
+    tic();
+    auto Id = mass<std::complex<double>>(v);
+    toc();
+
+    // Left hand side : k^2 * \int_Sx \int_Sy n.psi(x) G(x,y) n.psi(y) dx dy - \int_Sx \int_Sy nxgrad(psi(x)) G(x,y) nxgrad(psi(y)) dx dy
+    tic();
+    auto LHSfct = [&v,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return -hypersingular<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    hmatrix<std::complex<double>> LHS(v.dof(),u.dof(),tol,LHSfct);
+    toc();
+    disp(LHS);
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    auto B = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve -H = -dnP0
+    hmatrix<std::complex<double>> Lh,Uh;
+    tic();
+    std::tie(Lh,Uh) = lu(LHS,tol);
+    toc();
+    disp(Lh);
+    disp(Uh);
+    auto mu = gmres(LHS,B,tol,100,Lh,Uh);
+        
+    // Boundary radiation
+    tic();
+    auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2));
+    hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,mu,Pbnd);
+    toc();
+    Pbnd = - gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    tic();
+    auto Ddomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pdom = Pinc;
+    hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom);
+    toc();
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+    
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Stri,Svtx,abs(Pbnd));
+    trimesh(fig2,Ptri,Pvtx,abs(Pdom));
+    
+    // Infinite radiation
+    tic();
+    matrix<double> theta = transpose(linspace(0,2*M_PI,1e3));
+    matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta)));
+    auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(mu,2));
+    hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf);
+    toc();
+    
+    // Graphical representation
+    figure fig3;
+    plot(fig3,theta,transpose(log(abs(Pinf))),{"-b"});
+
+    // Plot
+    drawnow(fig);
+    disp("done !");
+    return 0;
+}
diff --git a/demo/neumannBW.cpp b/demo/neumannBW.cpp
new file mode 100644
index 0000000..56b52fc
--- /dev/null
+++ b/demo/neumannBW.cpp
@@ -0,0 +1,143 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : neumannBW.cpp                                 |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal                               |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Acoustical scattering using BEM with Neumann  |
+ |  `---'  |                boundary condition                            |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/hmatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    // Load meshes
+    matrix<double> Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(Stri,Svtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","unitSphere_1e3.ply");
+    std::tie(Ptri,Pvtx) = triread("/Users/aussal/Git/leprojetcastor/bembuilder/data/","Oxyz_1e4.ply");
+    
+    // Graphical representation
+    figure fig;
+    trimesh(fig,Ptri,Pvtx);
+    trimesh(fig,Stri,Svtx);
+    
+    // Parameters
+    matrix<double> U = {-1,0,0};
+    double k = 5.85;
+    float tol = 1e-3;
+    
+    // FEM
+    tic();
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    toc();
+
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    auto Pinc = planeWave(Pvtx,U,k);
+    
+    // Identity matrix
+    tic();
+    auto Id = mass<std::complex<double>>(v);
+    toc();
+    
+    // Coupling coeff
+    std::complex<double> beta(0,k);
+
+    // Left hand side : [1i*k*beta*(-Id/2 + Dt) - H]
+    tic();
+    auto LHSfct = [&v,&u,&k,&beta,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return beta*(-0.5*eval(Id(Ix,Iy)) + transpose(doubleLayer<std::complex<double>>(v,u,k,Iy,Ix)))
+        - hypersingular<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    hmatrix<std::complex<double>> LHS(v.dof(),u.dof(),tol,LHSfct);
+    toc();
+    disp(LHS);
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    auto B = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve linear system : [1i*k*beta*(-Id/2 + Dt) - H] = -dnP0
+    auto mu     = gmres(LHS,B,tol,100);
+    auto lambda = beta * mu;
+        
+    // Boundary radiation
+    tic();
+    auto Sbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2));
+    hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct,lambda,Pbnd);
+    hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,-mu,Pbnd);
+    toc();
+    Pbnd = gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k);
+    
+    // Domain radiation
+    tic();
+    auto Sdomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    auto Ddomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pdom = Pinc;
+    hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct,lambda,Pdom);
+    hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom);
+    toc();
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+    
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Stri,Svtx,abs(Pbnd));
+    trimesh(fig2,Ptri,Pvtx,abs(Pdom));
+    
+    // Infinite radiation
+    tic();
+    matrix<double> theta = transpose(linspace(0,2*M_PI,1e3));
+    matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta)));
+    auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy)
+    {
+        return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy);
+    };
+    matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2));
+    hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf);
+    hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf);
+    toc();
+    
+    // Graphical representation
+    figure fig3;
+    plot(fig3,theta,transpose(log(abs(Pinf))),{"-b"});
+    
+    // Plot
+    drawnow(fig);
+    disp("done !");
+    return 0;
+}
diff --git a/demo/overview_bem.cpp b/demo/overview_bem.cpp
new file mode 100644
index 0000000..1e87992
--- /dev/null
+++ b/demo/overview_bem.cpp
@@ -0,0 +1,309 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : overview_bembuilder.cpp                       |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal & Marc Bakry                  |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Boundary Element Methods with Finite elements |
+ |  `---'  |                representation                                |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "bembuilder.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    //===============================================================
+    std::cout << "+=====================+" << std::endl;
+    std::cout << "|      INITIALIZE     |" << std::endl;
+    std::cout << "+=====================+" << std::endl;
+    
+    // Documentation
+    documentationFiles =
+    {
+        "/Users/aussal/Git/leprojetcastor/matrix/include/matrix/matrix.hpp",
+        "/Users/aussal/Git/leprojetcastor/graphics/graphics.hpp"
+    };
+    help("");
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|    TRIANGLEDATA    |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+    
+    // Unitary triangle mesh
+    matrix<double> Tvtx = {{0,0,0},{2,0,0},{0,2,0}};
+    matrix<std::size_t> Ttri = {0,1,2};
+    matrix<double> ctredg = {{1,1,0},{0,1,0},{1,0,0}};
+    
+    // Triangle data
+    triangledata<double> triangle;
+    triangle.update(Tvtx);
+    disp(triangle.isfar(0,0,3));
+    
+    // Graphical representation
+    figure fig;
+    caxis(fig,{0,1});
+    trimesh(fig,Ttri,Tvtx);
+    quiver(fig,triangle.ctr(),triangle.nrm());
+    quiver(fig,ctredg,triangle.tau());
+    quiver(fig,ctredg,triangle.nu());
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|   DOF/QUADRATURE   |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+
+    // Finite element data
+    femdata<double> fem(Ttri,Tvtx,lagrangeP1,3);
+    disp(sum(fem.wgt()) - 2);
+    disp(fem.base(0,0)+fem.base(0,1)+fem.base(0,2));
+    disp(fem.grad(0,0,0)+fem.grad(0,1,0)+fem.grad(0,2,0));
+
+    // Graphical representation
+    caxis(fig,{0,1});
+    std::size_t nd = size(fem.dof(),1), ng = size(fem.gss(),1);
+    vermesh(fig,range(0,nd),fem.dof(),zeros(nd,1));
+    vermesh(fig,range(0,ng),fem.gss(),ones(ng,1));
+    quiver(fig,fem.gss(),0.2*fem.gssnrm());
+        
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|       MESHES      |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+
+    // Sphere mesh
+    matrix<double> X, Y, Z, Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(X,Y,Z) = sphere2(1000);
+    X = horzcat(0,reshape(X,1,numel(X)));
+    Y = horzcat(0,reshape(Y,1,numel(Y)));
+    Z = horzcat(0,reshape(Z,1,numel(Z)));
+    std::tie(Stri,Svtx) = tetdelaunay(X,Y,Z);
+    std::tie(Stri,Svtx) = tetboundary(Stri,Svtx);
+    
+    // Planar mesh
+    std::tie(X,Y) = meshgrid(linspace(-4,4,50));
+    std::tie(Ptri,Pvtx) = tridelaunay(X,Y,zeros(size(X)));
+
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Stri,Svtx);
+    trimesh(fig2,Ptri,Pvtx);
+
+    //===============================================================
+    std::cout << "+======================+" << std::endl;
+    std::cout << "| TRIANGLE INTEGRATION |" << std::endl;
+    std::cout << "+======================+" << std::endl;
+    
+    // Exact integration VS singular
+    X = 3*Svtx;
+    matrix<double> ref(size(X,1),2), sol(size(X,1),2);
+    double rxy, rdotn;
+    for (std::size_t l=0; l<size(X,1); ++l)
+    {
+        // Analytic
+        std::tie(ref(l,0),ref(l,1)) = triangle.intsing(X(l,0),X(l,1),X(l,2));
+        
+        // Numeric (gauss)
+        for (std::size_t g=0; g<size(fem.gss(),1); ++g)
+        {
+            rxy = std::sqrt(std::pow(X(l,0)-fem.gss(g,0),2) +
+                            std::pow(X(l,1)-fem.gss(g,1),2) +
+                            std::pow(X(l,2)-fem.gss(g,2),2) );
+            rdotn = ((X(l,0)-fem.gss(g,0))*fem.gssnrm(g,0) +
+                     (X(l,1)-fem.gss(g,1))*fem.gssnrm(g,1) +
+                     (X(l,2)-fem.gss(g,2))*fem.gssnrm(g,2) );
+            sol(l,0) += 1./rxy * fem.wgt(g);
+            sol(l,1) += rdotn/std::pow(rxy,3) * fem.wgt(g);
+        }
+    }
+    disp(norm(ref-sol,"inf")/norm(ref,"inf"));
+        
+    //===============================================================
+    std::cout << "+=======================+" << std::endl;
+    std::cout << "|      SINGLE LAYER     |" << std::endl;
+    std::cout << "+=======================+" << std::endl;
+    
+    // FEM
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    matrix<double> U = {-1,0,0};
+    double k = 5;
+    auto Pinc = planeWave(Pvtx,U,k);
+
+    // Identity matrix
+    tic();
+    auto Id = full(mass<std::complex<double>>(v));
+    toc();
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) G(x,y) u(y) dx dy
+    tic();
+    auto LHS = singleLayer<std::complex<double>>(v,u,k);
+    toc();
+    disp(sum(LHS)); //   -0.6614 + 2.3185i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    tic();
+    auto RHS = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+    toc();
+
+    // Solve linear system : S lambda = -PO
+    tic();
+    auto lambda = linsolve(LHS,RHS);
+    toc();
+
+    // Radiation
+    tic();
+    auto Pbnd = linsolve(Id,mtimes(LHS,lambda)) + planeWave(v.dof(),U,k);
+    toc();
+    tic();
+    auto Sdom = singleLayer<std::complex<double>>(Pvtx,u,k);
+    auto Pdom = mtimes(Sdom,lambda) + Pinc;
+    toc();
+
+    // Graphical representation
+    figure fig5;
+    trimesh(fig5,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig5,Stri,Svtx,abs(Pbnd));
+
+    //===============================================================
+    std::cout << "+=======================+" << std::endl;
+    std::cout << "|      DOUBLE LAYER     |" << std::endl;
+    std::cout << "+=======================+" << std::endl;
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) dnyG(x,y) u(y) dx dy
+    tic();
+    LHS = -(0.5*Id + doubleLayer<std::complex<double>>(v,u,k));
+    toc();
+    disp(sum(LHS)); //    -1.6068 + 5.6271i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+
+    // Solve -(Id/2 - D) = -P0
+    auto mu = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    Pbnd = linsolve(Id,mtimes(LHS,mu)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    auto Ddom = doubleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = - mtimes(Ddom,mu) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig6;
+    trimesh(fig6,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig6,Stri,Svtx,abs(Pbnd));
+
+    //===============================================================
+    std::cout << "+========================+" << std::endl;
+    std::cout << "| DOUBLE LAYER TRANSPOSE |" << std::endl;
+    std::cout << "+========================+" << std::endl;
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) dnyG(x,y) u(y) dx dy
+    tic();
+    LHS = -0.5*Id + transpose(doubleLayer<std::complex<double>>(v,u,k));
+    toc();
+    disp(sum(LHS)); //
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve (-Id/2 + Dt) = -Pdn0
+    lambda = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    auto Sbnd = singleLayer<std::complex<double>>(v,u,k);
+    Pbnd = linsolve(Id,mtimes(Sbnd,lambda)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    Sdom = singleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = mtimes(Sdom,lambda) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig7;
+    trimesh(fig7,Stri,Svtx,abs(Pbnd));
+    trimesh(fig7,Ptri,Pvtx,abs(Pdom));
+
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|   HYPERSINGULAR   |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+
+    // Left hand side : k^2 * \int_Sx \int_Sy n.psi(x) G(x,y) n.psi(y) dx dy - \int_Sx \int_Sy nxgrad(psi(x)) G(x,y) nxgrad(psi(y)) dx dy
+    tic();
+    LHS = - hypersingular<std::complex<double>>(v,u,k);
+    toc();
+    disp(sum(LHS)); //     -22.4022 -13.6573i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve -H = -dnP0
+    mu = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    auto Dbnd = 0.5*Id + doubleLayer<std::complex<double>>(v,u,k);
+    Pbnd = -linsolve(Id,mtimes(Dbnd,mu)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    Ddom = doubleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = - mtimes(Ddom,mu) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig8;
+    trimesh(fig8,Stri,Svtx,abs(Pbnd));
+    trimesh(fig8,Ptri,Pvtx,abs(Pdom));
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|     SUB-MATRIX     |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+    
+    // Collocation
+    matrix<std::size_t> I = colon(30,2,900);
+    matrix<std::size_t> J = colon(900,-3,7);
+    matrix<double> S  = singleLayer<double>(Svtx,u,0.);
+    matrix<double> Sb = singleLayer<double>(Svtx,u,0.,I,J);
+    disp(norm(eval(S(I,J))-Sb,"inf"));
+    
+    // Galerkin
+    S  = singleLayer<double>(v,u,0.);
+    Sb = singleLayer<double>(v,u,0.,I,J);
+    disp(norm(eval(S(I,J))-Sb,"inf"));
+    
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|      DRAWNOW      |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+    
+    drawnow(fig);    
+    
+    disp("done !");
+    return 0;
+}
diff --git a/demo/overview_fem.cpp b/demo/overview_fem.cpp
new file mode 100644
index 0000000..c9da151
--- /dev/null
+++ b/demo/overview_fem.cpp
@@ -0,0 +1,310 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : overview_bembuilder.cpp                       |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal & Marc Bakry                  |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Boundary Element Methods with Finite elements |
+ |  `---'  |                representation                                |
+ +========================================================================+
+ */
+
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+#include <castor/linalg.hpp>
+#include <castor/graphics.hpp>
+#include "fem.hpp"
+//#include "bem.hpp"
+
+using namespace castor;
+
+int main (int argc, char* argv[])
+{
+    //===============================================================
+    std::cout << "+=====================+" << std::endl;
+    std::cout << "|      INITIALIZE     |" << std::endl;
+    std::cout << "+=====================+" << std::endl;
+    
+    // Documentation
+    documentationFiles =
+    {
+        "/Users/aussal/Git/leprojetcastor/matrix/include/matrix/matrix.hpp",
+        "/Users/aussal/Git/leprojetcastor/graphics/graphics.hpp"
+    };
+    help("");
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|    TRIANGLEDATA    |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+    
+    // Unitary triangle mesh
+    matrix<double> Tvtx = {{0,0,0},{2,0,0},{0,2,0}};
+    matrix<std::size_t> Ttri = {0,1,2};
+    matrix<double> ctredg = {{1,1,0},{0,1,0},{1,0,0}};
+    
+    // Triangle data
+    triangledata<double> triangle;
+    triangle.update(Tvtx);
+    disp(triangle.isfar(0,0,3));
+    
+    // Graphical representation
+    figure fig;
+    caxis(fig,{0,1});
+    trimesh(fig,Ttri,Tvtx);
+    quiver(fig,triangle.ctr(),triangle.nrm());
+    quiver(fig,ctredg,triangle.tau());
+    quiver(fig,ctredg,triangle.nu());
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|   DOF/QUADRATURE   |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+
+    // Finite element data
+    femdata<double> fem(Ttri,Tvtx,lagrangeP1,3);
+    disp(sum(fem.wgt()) - 2);
+    disp(fem.base(0,0)+fem.base(0,1)+fem.base(0,2));
+    disp(fem.grad(0,0,0)+fem.grad(0,1,0)+fem.grad(0,2,0));
+
+    // Graphical representation
+    caxis(fig,{0,1});
+    std::size_t nd = size(fem.dof(),1), ng = size(fem.gss(),1);
+    vermesh(fig,range(0,nd),fem.dof(),zeros(nd,1));
+    vermesh(fig,range(0,ng),fem.gss(),ones(ng,1));
+    quiver(fig,fem.gss(),0.2*fem.gssnrm());
+        
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|       MESHES      |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+
+    // Sphere mesh
+    matrix<double> X, Y, Z, Svtx, Pvtx;
+    matrix<size_t> Stri, Ptri;
+    std::tie(X,Y,Z) = sphere2(1000);
+    X = horzcat(0,reshape(X,1,numel(X)));
+    Y = horzcat(0,reshape(Y,1,numel(Y)));
+    Z = horzcat(0,reshape(Z,1,numel(Z)));
+    std::tie(Stri,Svtx) = tetdelaunay(X,Y,Z);
+    std::tie(Stri,Svtx) = tetboundary(Stri,Svtx);
+    
+    // Planar mesh
+    std::tie(X,Y) = meshgrid(linspace(-4,4,50));
+    std::tie(Ptri,Pvtx) = tridelaunay(X,Y,zeros(size(X)));
+
+    // Graphical representation
+    figure fig2;
+    trimesh(fig2,Stri,Svtx);
+    trimesh(fig2,Ptri,Pvtx);
+
+    //===============================================================
+    std::cout << "+======================+" << std::endl;
+    std::cout << "| TRIANGLE INTEGRATION |" << std::endl;
+    std::cout << "+======================+" << std::endl;
+    
+    // Exact integration VS singular
+    X = 3*Svtx;
+    matrix<double> ref(size(X,1),2), sol(size(X,1),2);
+    double rxy, rdotn;
+    for (std::size_t l=0; l<size(X,1); ++l)
+    {
+        // Analytic
+        std::tie(ref(l,0),ref(l,1)) = triangle.intsing(X(l,0),X(l,1),X(l,2));
+        
+        // Numeric (gauss)
+        for (std::size_t g=0; g<size(fem.gss(),1); ++g)
+        {
+            rxy = std::sqrt(std::pow(X(l,0)-fem.gss(g,0),2) +
+                            std::pow(X(l,1)-fem.gss(g,1),2) +
+                            std::pow(X(l,2)-fem.gss(g,2),2) );
+            rdotn = ((X(l,0)-fem.gss(g,0))*fem.gssnrm(g,0) +
+                     (X(l,1)-fem.gss(g,1))*fem.gssnrm(g,1) +
+                     (X(l,2)-fem.gss(g,2))*fem.gssnrm(g,2) );
+            sol(l,0) += 1./rxy * fem.wgt(g);
+            sol(l,1) += rdotn/std::pow(rxy,3) * fem.wgt(g);
+        }
+    }
+    disp(norm(ref-sol,"inf")/norm(ref,"inf"));
+        
+    //===============================================================
+    std::cout << "+=======================+" << std::endl;
+    std::cout << "|      SINGLE LAYER     |" << std::endl;
+    std::cout << "+=======================+" << std::endl;
+    
+    // FEM
+    femdata<double> v(Stri,Svtx,lagrangeP1,3);
+    femdata<double> u(Stri,Svtx,lagrangeP1,3);
+    
+    // Incident wave : PW(x,u) = exp(i*k*x.u)
+    matrix<double> U = {-1,0,0};
+    double k = 5;
+    auto Pinc = planeWave(Pvtx,U,k);
+
+    // Identity matrix
+    tic();
+    auto Id = full(mass<std::complex<double>>(v));
+    toc();
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) G(x,y) u(y) dx dy
+    tic();
+    auto LHS = singleLayer<std::complex<double>>(v,u,k);
+    toc();
+    disp(sum(LHS)); //   -0.6614 + 2.3185i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    tic();
+    auto RHS = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+    toc();
+
+    // Solve linear system : S lambda = -PO
+    tic();
+    auto lambda = linsolve(LHS,RHS);
+    toc();
+
+    // Radiation
+    tic();
+    auto Pbnd = linsolve(Id,mtimes(LHS,lambda)) + planeWave(v.dof(),U,k);
+    toc();
+    tic();
+    auto Sdom = singleLayer<std::complex<double>>(Pvtx,u,k);
+    auto Pdom = mtimes(Sdom,lambda) + Pinc;
+    toc();
+
+    // Graphical representation
+    figure fig5;
+    trimesh(fig5,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig5,Stri,Svtx,abs(Pbnd));
+
+    //===============================================================
+    std::cout << "+=======================+" << std::endl;
+    std::cout << "|      DOUBLE LAYER     |" << std::endl;
+    std::cout << "+=======================+" << std::endl;
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) dnyG(x,y) u(y) dx dy
+    tic();
+    LHS = -(0.5*Id + doubleLayer<std::complex<double>>(v,u,k));
+    toc();
+    disp(sum(LHS)); //    -1.6068 + 5.6271i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,PWsource,U,k);
+
+    // Solve -(Id/2 - D) = -P0
+    auto mu = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    Pbnd = linsolve(Id,mtimes(LHS,mu)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    auto Ddom = doubleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = - mtimes(Ddom,mu) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig6;
+    trimesh(fig6,Ptri,Pvtx,abs(Pdom));
+    trimesh(fig6,Stri,Svtx,abs(Pbnd));
+
+    //===============================================================
+    std::cout << "+========================+" << std::endl;
+    std::cout << "| DOUBLE LAYER TRANSPOSE |" << std::endl;
+    std::cout << "+========================+" << std::endl;
+
+    // Left hand side : \int_sigma_x \int_sigma_y v(x) dnyG(x,y) u(y) dx dy
+    tic();
+    LHS = -0.5*Id + transpose(doubleLayer<std::complex<double>>(v,u,k));
+    toc();
+    disp(sum(LHS)); //
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve (-Id/2 + Dt) = -Pdn0
+    lambda = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    auto Sbnd = singleLayer<std::complex<double>>(v,u,k);
+    Pbnd = linsolve(Id,mtimes(Sbnd,lambda)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    Sdom = singleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = mtimes(Sdom,lambda) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig7;
+    trimesh(fig7,Stri,Svtx,abs(Pbnd));
+    trimesh(fig7,Ptri,Pvtx,abs(Pdom));
+
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|   HYPERSINGULAR   |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+
+    // Left hand side : k^2 * \int_Sx \int_Sy n.psi(x) G(x,y) n.psi(y) dx dy - \int_Sx \int_Sy nxgrad(psi(x)) G(x,y) nxgrad(psi(y)) dx dy
+    tic();
+    LHS = - hypersingular<std::complex<double>>(v,u,k);
+    toc();
+    disp(sum(LHS)); //     -22.4022 -13.6573i
+
+    // Right hand side : - \int_sigma_x v(x) PW(x,u) dx
+    RHS = - rightHandSide<std::complex<double>>(v,dnPWsource,U,k);
+
+    // Solve -H = -dnP0
+    mu = linsolve(LHS,RHS);
+
+    // Boundary radiation
+    auto Dbnd = 0.5*Id + doubleLayer<std::complex<double>>(v,u,k);
+    Pbnd = -linsolve(Id,mtimes(Dbnd,mu)) + planeWave(v.dof(),U,k);
+
+    // Domain radiation
+    Ddom = doubleLayer<std::complex<double>>(Pvtx,u,k);
+    Pdom = - mtimes(Ddom,mu) + Pinc;
+    for (std::size_t l=0; l<size(Pvtx,1); ++l)
+    {
+        if (std::pow(Pvtx(l,0),2)+std::pow(Pvtx(l,1),2)+std::pow(Pvtx(l,2),2)<1.1) {Pdom(l)=Pinc(l);}
+    }
+
+    // Graphical representation
+    figure fig8;
+    trimesh(fig8,Stri,Svtx,abs(Pbnd));
+    trimesh(fig8,Ptri,Pvtx,abs(Pdom));
+    
+    //===============================================================
+    std::cout << "+====================+" << std::endl;
+    std::cout << "|     SUB-MATRIX     |" << std::endl;
+    std::cout << "+====================+" << std::endl;
+    
+    // Collocation
+    matrix<std::size_t> I = colon(30,2,900);
+    matrix<std::size_t> J = colon(900,-3,7);
+    matrix<double> S  = singleLayer<double>(Svtx,u,0.);
+    matrix<double> Sb = singleLayer<double>(Svtx,u,0.,I,J);
+    disp(norm(eval(S(I,J))-Sb,"inf"));
+    
+    // Galerkin
+    S  = singleLayer<double>(v,u,0.);
+    Sb = singleLayer<double>(v,u,0.,I,J);
+    disp(norm(eval(S(I,J))-Sb,"inf"));
+    
+    //===============================================================
+    std::cout << "+===================+" << std::endl;
+    std::cout << "|      DRAWNOW      |" << std::endl;
+    std::cout << "+===================+" << std::endl;
+    
+    drawnow(fig);    
+    
+    disp("done !");
+    return 0;
+}
diff --git a/include/bem.hpp b/include/bem.hpp
new file mode 100644
index 0000000..8802bde
--- /dev/null
+++ b/include/bem.hpp
@@ -0,0 +1,1539 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : bembuilder.hpp                                |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal & Marc Bakry                  |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Boundary Element Methods with Finite elements |
+ |  `---'  |                representation                                |
+ +========================================================================+
+ */
+
+#pragma once
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+
+using namespace castor;
+
+//==========================================================================//
+//                           ENVIRONMENT DATA                               //
+//==========================================================================//
+enum femoperator{none, gradient};
+enum femtype{vertices, lagrangeP0, lagrangeP1};
+enum bemsource{PWsource, dnPWsource, SWsource, dnSWsource};
+
+
+//==========================================================================//
+//                        TRIANGLEDATA CLASS                                //
+//==========================================================================//
+//==========================================================================
+// [triangledata]
+///
+template<typename T>
+class triangledata
+{
+public:
+    auto intsing(T x0, T y0, T z0) const;
+    bool isfar(T x0, T y0, T z0) const;
+    void projectP1(T x0, T y0, T z0, matrix<T>& P) const;
+    void update(matrix<T>const& S);
+    void update(matrix<T>const& A, matrix<T>const& B, matrix<T>const& C);
+    
+    matrix<T>const& ctr() const {return m_ctr;};
+    matrix<T>const& nrm() const {return m_nrm;};
+    matrix<T>const& nu()  const {return m_nu;};
+    matrix<T>const& tau() const {return m_tau;};
+    T const& A(std::size_t i) const   {return m_A(i);};
+    T const& B(std::size_t i) const   {return m_B(i);};
+    T const& C(std::size_t i) const   {return m_C(i);};
+    T const& ctr(std::size_t i) const {return m_ctr(i);};
+    T const& hgt(std::size_t i) const {return m_hgt(i);};
+    T const& nrm(std::size_t i) const {return m_nrm(i);};
+    T const& nu(std::size_t i, std::size_t j) const {return m_nu(i,j);};
+    T const& srf() const              {return m_srf;}
+    T const& tau(std::size_t i, std::size_t j) const {return m_tau(i,j);};
+    
+private:
+    matrix<T> m_A   = matrix<T>(1,3); // FIRST NODE
+    matrix<T> m_B   = matrix<T>(1,3); // SECOND NODE
+    matrix<T> m_C   = matrix<T>(1,3); // THIRD NODE
+    matrix<T> m_ctr = matrix<T>(1,3); // CENTER
+    matrix<T> m_hgt = matrix<T>(1,3); // HEIGHT
+    matrix<T> m_lgt = matrix<T>(1,3); // EDGE LENGTH
+    matrix<T> m_nrm = matrix<T>(1,3); // TRIANGLE NORMAL
+    matrix<T> m_nu  = matrix<T>(3,3); // EDGE NORMALS
+    T         m_srf = 0;              // SURFACE
+    T         m_stp = 0;              // MAX EDGE LENGTH
+    matrix<T> m_tau = matrix<T>(3,3); // EDGE TANGENT
+};
+
+//==========================================================================
+//
+///
+template<typename T>
+auto triangledata<T>::intsing(T x0, T y0, T z0) const
+{
+    // initialize
+    std::size_t ip, ipp;
+    static matrix<T> xX0S(1,3), yX0S(1,3), zX0S(1,3);
+    static matrix<T> nrmX0S(1,3), ca(1,3), sa(1,3), xnu(1,3);
+    T omega, h, ps, psp1, ps2, ah, ar, intaRm1;
+    T Rm1, dnRm1;
+    T tol = 1e-7;
+    
+    // Point to vertex
+    xX0S(0) = m_A(0) - x0;
+    xX0S(1) = m_B(0) - x0;
+    xX0S(2) = m_C(0) - x0;
+    
+    yX0S(0) = m_A(1) - y0;
+    yX0S(1) = m_B(1) - y0;
+    yX0S(2) = m_C(1) - y0;
+    
+    zX0S(0) = m_A(2) - z0;
+    zX0S(1) = m_B(2) - z0;
+    zX0S(2) = m_C(2) - z0;
+
+    for(std::size_t i=0; i<3; ++i)
+    {
+        nrmX0S(i) = std::sqrt(xX0S(i)*xX0S(i)+yX0S(i)*yX0S(i)+zX0S(i)*zX0S(i));
+    }
+    
+    // Point height to triangle
+    h = xX0S(0)*m_nrm(0) + yX0S(0)*m_nrm(1) + zX0S(0)*m_nrm(2);
+    
+    // solid angle
+    if (std::abs(h)<tol) {omega = 0;}
+    else
+    {
+        for(std::size_t i=0; i<3; ++i)
+        {
+            ip = (i+1)%3;
+            ca(i) = (xX0S(i)*xX0S(ip)+yX0S(i)*yX0S(ip)+zX0S(i)*zX0S(ip))/(nrmX0S(i)*nrmX0S(ip));
+            sa(i) = std::sqrt(1 - ca(i)*ca(i));
+        }
+        omega = -M_PI;
+        for(std::size_t i=0; i<3; ++i)
+        {
+            ip = (i+1)%3; ipp = (ip+1)%3;
+            omega += std::acos((ca(i)-ca(ip)*ca(ipp))/(sa(ip)*sa(ipp)));
+        }
+        if (h < 0) {omega = -omega;}
+    }
+    if (std::isnan(omega))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Point is close to triangle, change h tolerance.");
+    }
+    
+    // initialization of integration
+    Rm1 = -h*omega;
+    dnRm1 = -omega;
+    
+    // edge integration
+    for(std::size_t i=0; i<3; ++i)
+    {
+        ip  = (i+1)%3;
+        ipp = (ip+1)%3;
+        // projections
+        ps   = xX0S(ip)*m_tau(i,0)  + yX0S(ip)*m_tau(i,1)  + zX0S(ip)*m_tau(i,2);
+        psp1 = xX0S(ipp)*m_tau(i,0) + yX0S(ipp)*m_tau(i,1) + zX0S(ipp)*m_tau(i,2);
+        ps2  = ps*(nrmX0S(ipp) - nrmX0S(ip));
+        // Subtil
+        ar = std::abs(psp1 - ps);
+        xnu(0) = xX0S(ip) - ps*m_tau(i,0);
+        xnu(1) = yX0S(ip) - ps*m_tau(i,1);
+        xnu(2) = zX0S(ip) - ps*m_tau(i,2);
+        ah = std::sqrt(xnu(0)*xnu(0) + xnu(1)*xnu(1) + xnu(2)*xnu(2));
+        // integration of 1/R on the edge - singular case
+        if( nrmX0S(ip)-std::abs(ps) < tol)
+        {
+            intaRm1 = 0;
+            // Particle on the left of the edge
+            if (ps > tol && psp1 > tol) {intaRm1 = std::log(nrmX0S(ipp)/nrmX0S(ip));}
+            // Particle on the right of the edge
+            else if (ps < -tol && psp1 < -tol) {intaRm1 = -std::log(nrmX0S(ipp)/nrmX0S(ip));}
+        }
+        // integration of 1/R on the edge - general case h>tol
+        else
+        {
+            intaRm1 = std::asinh(psp1/ah) - std::asinh(ps/ah);
+        }
+        // 1/r
+        Rm1 += intaRm1*(xX0S(ip)*m_nu(i,0) + yX0S(ip)*m_nu(i,1) + zX0S(ip)*m_nu(i,2));
+        // grad[1/r]
+        dnRm1 += intaRm1*(m_nu(i,0)*m_nrm(0) + m_nu(i,1)*m_nrm(1) + m_nu(i,2)*m_nrm(2));
+    }
+    return std::make_tuple(Rm1, dnRm1);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+bool triangledata<T>::isfar(T x0, T y0, T z0) const
+{
+    return ((x0-m_ctr(0))*(x0-m_ctr(0)) +
+            (y0-m_ctr(1))*(y0-m_ctr(1)) +
+            (z0-m_ctr(2))*(z0-m_ctr(2)) ) > 1.1*m_stp;
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void triangledata<T>::projectP1(T x0, T y0, T z0, matrix<T>& P) const
+{
+    // ((Sk-X) dot NUj) / Hj
+    P(0) = ((m_B(0)-x0)*m_nu(0,0) +
+            (m_B(1)-y0)*m_nu(0,1) +
+            (m_B(2)-z0)*m_nu(0,2) ) / m_hgt(0);
+    P(1) = ((m_C(0)-x0)*m_nu(1,0) +
+            (m_C(1)-y0)*m_nu(1,1) +
+            (m_C(2)-z0)*m_nu(1,2) ) / m_hgt(0);
+    P(2) = ((m_A(0)-x0)*m_nu(2,0) +
+            (m_A(1)-y0)*m_nu(2,1) +
+            (m_A(2)-z0)*m_nu(2,2) ) / m_hgt(2);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+inline void triangledata<T>::update(matrix<T>const& S)
+{
+    update({S(0,0),S(0,1),S(0,2)},{S(1,0),S(1,1),S(1,2)},{S(2,0),S(2,1),S(2,2)});
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+inline void triangledata<T>::update(matrix<T>const& A, matrix<T>const& B, matrix<T>const& C)
+{
+    // Nodes and center
+    for(std::size_t j=0; j<3; ++j)
+    {
+        m_A(j)   = A(j);
+        m_B(j)   = B(j);
+        m_C(j)   = C(j);
+        m_ctr(j) = (m_A(j)+m_B(j)+m_C(j))/3.;
+    }
+    
+    // Edges
+    matrix<T> AB = B-A;
+    matrix<T> BC = C-B;
+    matrix<T> CA = A-C;
+    
+    // Normal to ABC and surface
+    m_nrm(0) = AB(1)*BC(2) - AB(2)*BC(1);
+    m_nrm(1) = AB(2)*BC(0) - AB(0)*BC(2);
+    m_nrm(2) = AB(0)*BC(1) - AB(1)*BC(0);
+    m_srf    = 0.5*std::sqrt(m_nrm(0)*m_nrm(0) + m_nrm(1)*m_nrm(1) + m_nrm(2)*m_nrm(2));
+    m_nrm   /= 2*m_srf;
+    
+    // length edges
+    m_lgt(2) = std::sqrt(AB(0)*AB(0)+AB(1)*AB(1)+AB(2)*AB(2));
+    m_lgt(0) = std::sqrt(BC(0)*BC(0)+BC(1)*BC(1)+BC(2)*BC(2));
+    m_lgt(1) = std::sqrt(CA(0)*CA(0)+CA(1)*CA(1)+CA(2)*CA(2));
+    m_stp    = std::max(std::max(m_lgt(0),m_lgt(1)),m_lgt(2));
+    
+    // tangent to edges
+    for(std::size_t j=0; j<3; ++j)
+    {
+        m_tau(2,j) = AB(j)/m_lgt(2);
+        m_tau(0,j) = BC(j)/m_lgt(0);
+        m_tau(1,j) = CA(j)/m_lgt(1);
+    }
+    
+    // normal to edges
+    for(std::size_t i=0; i<3; ++i)
+    {
+        m_nu(i,0) = m_tau(i,1)*m_nrm(2)-m_tau(i,2)*m_nrm(1);
+        m_nu(i,1) = m_tau(i,2)*m_nrm(0)-m_tau(i,0)*m_nrm(2);
+        m_nu(i,2) = m_tau(i,0)*m_nrm(1)-m_tau(i,1)*m_nrm(0);
+    }
+    
+    // Height
+    m_hgt(0) = AB(0)*m_nu(0,0) + AB(1)*m_nu(0,1) + AB(2)*m_nu(0,2);
+    m_hgt(1) = BC(0)*m_nu(1,0) + BC(1)*m_nu(1,1) + BC(2)*m_nu(1,2);
+    m_hgt(2) = CA(0)*m_nu(2,0) + CA(1)*m_nu(2,1) + CA(2)*m_nu(2,2);
+};
+
+
+//==========================================================================//
+//                           FEMDATA CLASS                                  //
+//==========================================================================//
+//==========================================================================
+// [femdata]
+///
+template<typename T>
+class femdata
+{
+public:
+    femdata(matrix<std::size_t>const& elt, matrix<T>const& vtx, femtype fet, std::size_t ngs=0);
+    auto dofsubdata(matrix<std::size_t>const& Idof) const;
+    auto refQuadrature() const;
+    
+    matrix<T>const& dof() const    {return m_dof;};
+    matrix<T>const& gss() const    {return m_gss;};
+    matrix<T>const& gssnrm() const {return m_gssnrm;};
+    matrix<T>const& wgt() const    {return m_wgt;};
+    
+    matrix<std::size_t>const& elt2dof() const {return m_elt2dof;};
+    matrix<std::size_t>const& elt2gss() const {return m_elt2gss;};
+    
+    T const& base(std::size_t i, std::size_t j) const {return m_base(i,j);};
+    T const& dof(std::size_t i, std::size_t j) const {return m_dof(i,j);};
+    T const& grad(std::size_t i, std::size_t j, std::size_t k) const {return m_grad[k](i,j);};
+    T const& gss(std::size_t i, std::size_t j) const {return m_gss(i,j);};
+    T const& gssnrm(std::size_t i, std::size_t j) const {return m_gssnrm(i,j);};
+    T const& nxgrad(std::size_t i, std::size_t j, std::size_t k) const {return m_nxgrad[k](i,j);};
+    T const& wgt(std::size_t i) const {return m_wgt(i);};
+    
+    std::size_t const& elt2dof(std::size_t i, std::size_t j) const {return m_elt2dof(i,j);};
+    std::size_t const& elt2gss(std::size_t i, std::size_t j) const {return m_elt2gss(i,j);};
+    
+    triangledata<T>const& tridata(std::size_t i) const {return m_tridata[i];};
+    
+private:
+    // PRIVATE BUILDER
+    void m_buildBase();
+    void m_buildDof();
+    void m_buildGeometry();
+    void m_buildGrad();
+    void m_buildQuadrature();
+    
+    // ATTRIBUTS
+    femtype                          m_fet;       // ENUM       : TYPE OF FINITE ELEMENT
+    std::size_t                      m_ngs;       // DIMENSION  : SIZE OF ELEMENTARY QUADRATURE
+    matrix<T>                        m_dof;       // COORDINATES: DEGREES OF FREEDOM
+    matrix<T>                        m_gss;       // COORDINATES: GAUSSIAN QUADRATURE
+    matrix<T>                        m_gssnrm;    // COORDINATES: NORMALS AT GAUSS POINTS
+    matrix<T>                        m_vtx;       // COORDINATES: NODES
+    matrix<T>                        m_wgt;       // VALUES     : GAUSSIAN WEIGHTS
+    std::vector<matrix<std::size_t>> m_dof2elt;   // TABLE      : DOF TO ELEMENT
+    matrix<std::size_t>              m_elt2dof;   // TABLE      : ELEMENTS TO DOF
+    matrix<std::size_t>              m_elt2gss;   // TABLE      : ELEMENTS TO GAUSSIAN QUADRATURE
+    matrix<std::size_t>              m_elt2vtx;   // TABLE      : ELEMENTS TO NODES
+    matrix<T>                        m_base;      // OPERATOR   : BASIS
+    std::vector<matrix<T>>           m_grad;      // OPERATOR   : GRADIENT
+    std::vector<matrix<T>>           m_nxgrad;    // OPERATOR   : NORMALxGRADIENT
+    std::vector<triangledata<T>>     m_tridata;   // GEOMETRY   : TRIANGLE DATA
+};
+
+//==========================================================================
+//
+///
+template<typename T>
+femdata<T>::femdata(matrix<std::size_t>const& elt, matrix<T>const& vtx, femtype fet, std::size_t ngs)
+{
+    // Check input
+    if (size(vtx,2)!=3 || size(elt,2)!=3)
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices should be a Nvtx-by-3 real matrix and elements a Nelt-by-3 integer matrix.");
+    }
+    
+    // Input data
+    m_vtx     = vtx;
+    m_elt2vtx = elt;
+    m_ngs     = ngs;
+    m_fet     = fet;
+    
+    // Computed data
+    m_buildGeometry();
+    m_buildQuadrature();
+    m_buildDof();
+    m_buildBase();
+    m_buildGrad();
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+auto femdata<T>::dofsubdata(matrix<std::size_t>const& Idof) const
+{
+    // Elements associated to dof indices
+    std::vector<std::size_t> v;
+    for (std::size_t l=0; l<numel(Idof); ++l)
+    {
+        v.insert(v.end(),std::begin(m_dof2elt[Idof(l)].val()),std::end(m_dof2elt[Idof(l)].val()));
+    }
+    matrix<std::size_t> Ielt = unique<std::size_t>(v);
+    
+    // Local renumerotation of dof indices
+    matrix<std::size_t> e2d = eval(m_elt2dof(Ielt,col(m_elt2dof)));
+    matrix<std::size_t> i1=argsort(Idof), i2=argsort(e2d);
+    matrix<long> e2dl(size(e2d,1),size(e2d,2),-1);
+    std::size_t k=0, l=0;
+    while (l<numel(e2d))
+    {
+        if (e2d(i2(l))<Idof(i1(k))) {++l;}
+        else if (e2d(i2(l))==Idof(i1(k)))
+        {
+            e2dl(i2(l)) = i1(k);
+            ++l;
+        }
+        else if (e2d(i2(l))>Idof(i1(k)))
+        {
+            ++k;
+            if (k==numel(Idof)){break;}
+        }
+    }
+    return std::make_tuple(Ielt,e2dl);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+auto femdata<T>::refQuadrature() const
+{
+    matrix<T> gssloc(m_ngs,2), wgtloc(m_ngs,1);
+    double a, b, w;
+    switch(m_ngs)
+    {
+        case 0:
+            break;
+            
+        case 1:
+            gssloc(0,0) = 1/3.; gssloc(0,1) = 1/3.; wgtloc(0) = 0.5;
+            break;
+            
+        case 3:
+            a = 2/3.; b = 1/6.; w = 1/6.;
+            wgtloc(0) = w; wgtloc(1) = w; wgtloc(2) = w;
+            gssloc(0,0) = a; gssloc(0,1) = b;
+            gssloc(1,0) = b; gssloc(1,1) = a;
+            gssloc(2,0) = b; gssloc(2,1) = b;
+            break;
+            
+        case 6:
+            a = 0.816847572980459; b = 0.091576213509771; w = 0.109951743655322/2.;
+            wgtloc(0) = w; wgtloc(1) = w; wgtloc(2) = w;
+            gssloc(0,0) = a; gssloc(0,1) = b;
+            gssloc(1,0) = b; gssloc(1,1) = a;
+            gssloc(2,0) = b; gssloc(2,1) = b;
+            a = 0.108103018168070; b = 0.445948490915965; w = 0.223381589678011/2.;
+            wgtloc(3) = w; wgtloc(4) = w; wgtloc(5) = w;
+            gssloc(3,0) = a; gssloc(3,1) = b;
+            gssloc(4,0) = b; gssloc(4,1) = a;
+            gssloc(5,0) = b; gssloc(5,1) = b;
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Unvalid quadrature size (available are 0, 1, 3 and 6).");
+            break;
+    }
+    return std::make_tuple(gssloc,wgtloc);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildBase()
+{
+    // Initialize
+    matrix<T> gssloc,wgtloc;
+    std::vector<matrix<T>> fct(size(m_elt2dof,2),matrix<T>(1,m_ngs));
+    m_base = zeros<T>(size(m_gss,1),size(m_elt2dof,2));
+    
+    // Reference quadrature
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // Basis functions
+    switch(m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0:
+            fct[0] = ones<T>(1,m_ngs);
+            break;
+            
+        case lagrangeP1:
+            for(std::size_t g=0; g<m_ngs; ++g)
+            {
+                fct[0](g) = 1 - gssloc(g,0) - gssloc(g,1);
+                fct[1](g) = gssloc(g,0);
+                fct[2](g) = gssloc(g,1);
+            }
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Assembling
+    for (std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        for (std::size_t d=0; d<size(m_elt2dof,2); ++d)
+        {
+            for (std::size_t g=0; g<m_ngs; ++g)
+            {
+                m_base(m_elt2gss(e,g),d) = fct[d](g);
+            }
+        }
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildDof()
+{
+    // Dof, elt2dof
+    switch(m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0 :
+            m_dof = zeros<T>(size(m_elt2vtx,1),size(m_vtx,2));
+            for (std::size_t i=0; i<size(m_elt2vtx,1); ++i)
+            {
+                for (std::size_t j=0; j<size(m_elt2vtx,2); ++j)
+                {
+                    m_dof(i,0) += m_vtx(m_elt2vtx(i,j),0);
+                    m_dof(i,1) += m_vtx(m_elt2vtx(i,j),1);
+                    m_dof(i,2) += m_vtx(m_elt2vtx(i,j),2);
+                }
+            }
+            m_dof /= size(m_elt2vtx,2);
+            m_elt2dof = transpose(range(0,size(m_elt2vtx,1)));
+            break;
+            
+        case lagrangeP1 :
+            m_dof     = m_vtx;
+            m_elt2dof = m_elt2vtx;
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Number of elements close to dof
+    matrix<std::size_t> ind(1,size(m_dof,1));
+    for (std::size_t l=0; l<numel(m_elt2dof); ++l)
+    {
+        ++ind(m_elt2dof(l));
+    }
+    
+    // Initialize tables
+    m_dof2elt.resize(size(m_dof,1));
+    for (std::size_t d=0; d<size(m_dof,1); ++d)
+    {
+        m_dof2elt[d].resize(1,ind(d));
+        ind(d)=0;
+    }
+    
+    // Fill tables
+    std::size_t d;
+    for (std::size_t e=0; e<size(m_elt2dof,1); ++e)
+    {
+        for (std::size_t j=0; j<size(m_elt2dof,2); ++j)
+        {
+            d = m_elt2dof(e,j);
+            m_dof2elt[d](ind(d)) = e;
+            ++ind(d);
+        }
+    }
+    
+    // Check error
+    if (sum(ind)!=numel(m_elt2dof))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Unavailable case.");
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildGrad()
+{
+    // Initialize
+    matrix<T> gssloc,wgtloc;
+    std::vector<matrix<T>> fctX(size(m_elt2dof,2),zeros<T>(1,m_ngs));
+    std::vector<matrix<T>> fctY(size(m_elt2dof,2),zeros<T>(1,m_ngs));
+    m_grad   = std::vector<matrix<T>>(3, matrix<T>(size(m_gss,1),size(m_elt2dof,2)));
+    m_nxgrad = std::vector<matrix<T>>(3, matrix<T>(size(m_gss,1),size(m_elt2dof,2)));
+    matrix<T> AB(1,3), AC(1,3), G(2,2), Gm1(2,2), P(2,3);
+    T detG;
+    
+    // Reference quadrature
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // Basis functions
+    switch (m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0:
+            break;
+            
+        case lagrangeP1:
+            for(std::size_t g=0; g<m_ngs; ++g)
+            {
+                fctX[0](g) = -1; fctY[0](g) = -1;
+                fctX[1](g) = 1;  fctY[1](g) = 0;
+                fctX[2](g) = 0;  fctY[2](g) = 1;
+            }
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Build grad operator
+    for(std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        // For each coordinate
+        G = zeros<T>(2,2);
+        for(std::size_t j=0; j<3; ++j)
+        {
+            // Vector basis
+            AB(j) = m_vtx(m_elt2vtx(e,1),j) - m_vtx(m_elt2vtx(e,0),j);
+            AC(j) = m_vtx(m_elt2vtx(e,2),j) - m_vtx(m_elt2vtx(e,0),j);
+            
+            // Gramm matrix (symetric)
+            G(0,0) += AB(j)*AB(j);
+            G(0,1) += AB(j)*AC(j);
+            G(1,1) += AC(j)*AC(j);
+        }
+        G(1,0) = G(0,1);
+        
+        // inverse of Gramm matrix
+        detG     = G(0,0)*G(1,1) - G(1,0)*G(0,1);
+        Gm1(0,0) = G(1,1)/detG;  Gm1(0,1) = -G(0,1)/detG;
+        Gm1(1,0) = -G(1,0)/detG; Gm1(1,1) = G(0,0)/detG;
+        
+        // P = (G^{-1})^t {AB;AC}
+        for(std::size_t j=0; j<3; ++j)
+        {
+            P(0,j) = Gm1(0,0)*AB(j) + Gm1(1,0)*AC(j);
+            P(1,j) = Gm1(0,1)*AB(j) + Gm1(1,1)*AC(j);
+        }
+        
+        // grad(PHI) = P * grad(PHI_ref)
+        for(std::size_t j=0; j<3; ++j)
+        {
+            for(std::size_t d=0; d<size(m_elt2dof,2); ++d)
+            {
+                for(std::size_t g=0; g<m_ngs; ++g)
+                {
+                    m_grad[j](m_elt2gss(e,g),d) = P(0,j)*fctX[d](g) + P(1,j)*fctY[d](g);
+                }
+            }
+        }
+    }
+    
+    // Build nxgrad operator
+    for(std::size_t k=0; k<m_grad.size(); ++k)
+    {
+        for(std::size_t i=0; i<size(m_grad[k],1); ++i)
+        {
+            for(std::size_t j=0; j<size(m_grad[k],2); ++j)
+            {
+                m_nxgrad[k](i,j) = (m_gssnrm(i,(k+1)%3)*m_grad[(k+2)%3](i,j) -
+                                    m_gssnrm(i,(k+2)%3)*m_grad[(k+1)%3](i,j) );
+            }
+        }
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildGeometry()
+{
+    m_tridata = std::vector<triangledata<T>>(size(m_elt2vtx,1),triangledata<T>());
+    matrix<T> A(1,3), B(1,3), C(1,3);
+    for (std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        for (std::size_t j=0; j<3; ++j)
+        {
+            A(j) = m_vtx(m_elt2vtx(e,0),j);
+            B(j) = m_vtx(m_elt2vtx(e,1),j);
+            C(j) = m_vtx(m_elt2vtx(e,2),j);
+        }
+        m_tridata[e].update(A,B,C);
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildQuadrature()
+{
+    // Initialize data
+    std::size_t ne = size(m_elt2vtx,1);
+    m_gss          = zeros<T>(m_ngs*ne,3);
+    m_wgt          = zeros<T>(m_ngs*ne,1);
+    m_gssnrm       = zeros<T>(m_ngs*ne,3);
+    m_elt2gss      = zeros<std::size_t>(ne,m_ngs);
+    matrix<T> AB(1,3), AC(1,3), gssloc, wgtloc;
+    std::size_t ind;
+    
+    // Quadrature on reference element {(0,0), (1,0), (0,1)}
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // For each element
+    for(std::size_t e=0; e<ne; ++e)
+    {
+        // Basis vectors (AB and AC)
+        for(std::size_t j=0; j<3; ++j)
+        {
+            AB(j) = m_tridata[e].B(j) - m_tridata[e].A(j);
+            AC(j) = m_tridata[e].C(j) - m_tridata[e].A(j);
+        }
+        
+        // Local gauss nodes: XG = A + [B-A C-A]*XGloc, weights and normals
+        for(std::size_t g=0; g<m_ngs; ++g)
+        {
+            ind = e*m_ngs + g;
+            m_elt2gss(e,g) = ind;
+            m_wgt(ind)     = 2*m_tridata[e].srf()*wgtloc(g);
+            for(std::size_t j=0; j<3; ++j)
+            {
+                m_gss(ind,j)    = m_tridata[e].A(j) + AB(j)*gssloc(g,0) + AC(j)*gssloc(g,1);
+                m_gssnrm(ind,j) = m_tridata[e].nrm(j);
+            }
+        }
+    }
+}
+
+
+//==========================================================================//
+//                           INTEGRAL EQUATION                              //
+//==========================================================================//
+//==========================================================================
+//
+///
+template<typename T>
+matrix<std::complex<T>> planeWave(matrix<T>const& X, matrix<T>const& U, T wavenumber)
+{
+    if (size(X,2)!=size(U,2))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices X and direction U should have same number of columns.");
+    }
+    if (norm(U,"2") != 1.)
+    {
+        warning(__FILE__, __LINE__, __FUNCTION__,"Plane wave direction is not normalized.");
+    }
+    std::complex<T> imk(0,wavenumber);
+    return exp(imk*mtimes(X,transpose(U)));
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+matrix<std::complex<T>> dnplaneWave(matrix<T>const& X, matrix<T>const& N, matrix<T>const& U, T wavenumber)
+{
+    if (size(X,2)!=size(U,2) || size(N,2)!=size(U,2))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices X, normals N and direction U should have same number of columns.");
+    }
+    if (norm(U,"2") != 1.)
+    {
+        warning(__FILE__, __LINE__, __FUNCTION__,"Plane wave direction is not normalized.");
+    }
+    std::complex<T> imk(0,wavenumber);
+    return imk * mtimes(N,transpose(U)) * exp(imk*mtimes(X,transpose(U)));
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> rightHandSide(femdata<S>const& v, bemsource source, matrix<S>const& Y, S wavenumber=0)
+{
+    // Initialization
+    matrix<T> B(size(v.dof(),1),1);
+    matrix<T> Sxy;
+    switch (source)
+    {
+        case PWsource:
+            Sxy = planeWave<S>(v.gss(),Y,wavenumber);
+            break;
+        case dnPWsource:
+            Sxy = dnplaneWave<S>(v.gss(),v.gssnrm(),Y,wavenumber);
+            break;
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Source term not defined.");
+            break;
+    }
+    
+    // Builder
+    std::size_t ig;
+    for (std::size_t e=0; e<size(v.elt2dof(),1); ++e)
+    {
+        for (std::size_t g=0; g<size(v.elt2gss(),2); ++g)
+        {
+            ig = v.elt2gss(e,g);
+            for (std::size_t d=0; d<size(v.elt2dof(),2); ++d)
+            {
+                B(v.elt2dof(e,d)) += Sxy(ig) * v.wgt(ig) * v.base(ig,d);
+            }
+        }
+    }
+    return B;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+smatrix<T> mass(femdata<S>const& v)
+{
+    std::vector<std::size_t> ind;
+    std::vector<T> val;
+    std::size_t ndof = size(v.dof(),1);
+    for (std::size_t e=0; e<size(v.elt2dof(),1); ++e)
+    {
+        for (std::size_t g=0; g<size(v.elt2gss(),2); ++g)
+        {
+            std::size_t ig = v.elt2gss(e,g);
+            for (std::size_t i=0; i<size(v.elt2dof(),2); ++i)
+            {
+                for (std::size_t j=0; j<size(v.elt2dof(),2); ++j)
+                {
+                    ind.push_back(v.elt2dof(e,i)*ndof+v.elt2dof(e,j));
+                    val.push_back(v.base(ig,i) * v.wgt(ig) * v.base(ig,j));
+                }
+            }
+        }
+    }
+    return smatrix<T>(ndof,ndof,ind,val);
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(matrix<S>const& X, matrix<S>const& Y, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Iy={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Iy)==0) {Iy = range(0,size(Y,1));}
+    if (max(Ix)>size(X,1) || max(Iy)>size(Y,1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Iy));
+    
+    // Initialize local data
+    std::size_t ix, iy;
+    S rxy;
+    T imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Build
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        for (std::size_t j=0; j<numel(Iy); ++j)
+        {
+            iy  = Iy(j);
+            rxy = std::sqrt((X(ix,0)-Y(iy,0))*(X(ix,0)-Y(iy,0)) +
+                            (X(ix,1)-Y(iy,1))*(X(ix,1)-Y(iy,1)) +
+                            (X(ix,2)-Y(iy,2))*(X(ix,2)-Y(iy,2)) );
+            if (wavenumber==0)
+            {
+                M(i,j) = (rxy>1e-12)? (1./rxy) : (0);
+            }
+            else
+            {
+                M(i,j) = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    matrix<S> projectP1(1,3);
+    S rxy, Rm1, dnyRm1;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Analytic integration
+            if (u.tridata(Je(j)).isfar(X(ix,0),X(ix,1),X(ix,2))) {Rm1 = 0;}
+            else
+            {
+                std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(X(ix,0),X(ix,1),X(ix,2));
+            }
+            
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                rxy = std::sqrt((X(ix,0)-u.gss(jg,0))*(X(ix,0)-u.gss(jg,0)) +
+                                (X(ix,1)-u.gss(jg,1))*(X(ix,1)-u.gss(jg,1)) +
+                                (X(ix,2)-u.gss(jg,2))*(X(ix,2)-u.gss(jg,2)));
+                if (wavenumber==0)
+                {
+                    Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                }
+                else
+                {
+                    Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                }
+                
+                // Integration
+                Gxy *= u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+                
+                // Gaussian integration
+                if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+            }
+            
+            // Regularization
+            if (Rm1!=0)
+            {
+                // Lagrange P0
+                if (size(e2du,2)==1) {M(i,e2du(j)) += Rm1;}
+                // Lagrange P1
+                else if (size(e2du,2)==3)
+                {
+                    u.tridata(Je(j)).projectP1(X(ix,0),X(ix,1),X(ix,2),projectP1);
+                    for (std::size_t l=0; l<size(e2du,2); ++l)
+                    {
+                        if (e2du(j,l)!=-1)
+                        {
+                            M(i,e2du(j,l)) += Rm1 * projectP1(l);
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, Rm1, dnyRm1;
+    T tmp, Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {Rm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0))+
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1))+
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)));
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        tmp = v.base(ig,m) * Gxy;
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += tmp * u.base(jg,n);
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (Rm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            tmp = v.base(ig,m) * v.wgt(ig) * Rm1;
+                            if (size(e2du,2)==1) {M(e2dv(i,m),e2du(j)) += tmp;}
+                            else if (size(e2du,2)==3)
+                            {
+                                u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                                for (std::size_t n=0; n<size(e2du,2); ++n)
+                                {
+                                    if (e2du(j,n)!=-1)
+                                    {
+                                        M(e2dv(i,m),e2du(j,n)) += tmp * projectP1(n);
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayerInfinite(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    S xdoty;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                xdoty = X(ix,0)*u.gss(jg,0) + X(ix,1)*u.gss(jg,1) + X(ix,2)*u.gss(jg,2);
+                Gxy   = std::exp(-imk*xdoty) * u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayer(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    matrix<S> projectP1(1,3);
+    S rxy, rdotny, Rm1, dnyRm1;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Analytic integration
+            if (u.tridata(Je(j)).isfar(X(ix,0),X(ix,1),X(ix,2))) {dnyRm1 = 0;}
+            else
+            {
+                std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(X(ix,0),X(ix,1),X(ix,2));
+            }
+            
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                rxy = std::sqrt((X(ix,0)-u.gss(jg,0))*(X(ix,0)-u.gss(jg,0)) +
+                                (X(ix,1)-u.gss(jg,1))*(X(ix,1)-u.gss(jg,1)) +
+                                (X(ix,2)-u.gss(jg,2))*(X(ix,2)-u.gss(jg,2)) );
+                rdotny = ((X(ix,0)-u.gss(jg,0))*u.gssnrm(jg,0) +
+                          (X(ix,1)-u.gss(jg,1))*u.gssnrm(jg,1) +
+                          (X(ix,2)-u.gss(jg,2))*u.gssnrm(jg,2) );
+                if (wavenumber==0)
+                {
+                    Gxy = (rxy>1e-12)? (rdotny/(rxy*rxy*rxy)) : (0);
+                }
+                else
+                {
+                    Gxy = (rxy>1e-12)? (rdotny*(1./rxy-imk)*std::exp(imk*rxy)/(rxy*rxy)) : (0);
+                }
+                
+                // Integration
+                Gxy *= u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+                
+                // Gaussian integration
+                if (dnyRm1!=0) {dnyRm1 -= ((rxy>1e-12)?(rdotny/(rxy*rxy*rxy)):(0)) * u.wgt(jg);}
+            }
+            
+            // Regularization
+            if (dnyRm1!=0)
+            {
+                // Lagrange P0
+                if (size(e2du,2)==1) {M(i,e2du(j)) += dnyRm1;}
+                // Lagrange P1
+                else if (size(e2du,2)==3)
+                {
+                    u.tridata(Je(j)).projectP1(X(ix,0),X(ix,1),X(ix,2),projectP1);
+                    for (std::size_t l=0; l<size(e2du,2); ++l)
+                    {
+                        if (e2du(j,l)!=-1)
+                        {
+                            M(i,e2du(j,l)) += dnyRm1 * projectP1(l);
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayer(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, rdotny, Rm1, dnyRm1;
+    T tmp, Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {dnyRm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0)) +
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1)) +
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)) );
+                    rdotny = ((xg(0)-u.gss(jg,0))*u.gssnrm(jg,0) +
+                              (xg(1)-u.gss(jg,1))*u.gssnrm(jg,1) +
+                              (xg(2)-u.gss(jg,2))*u.gssnrm(jg,2) );
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (rdotny/(rxy*rxy*rxy)) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (rdotny*(1./rxy-imk)*std::exp(imk*rxy)/(rxy*rxy)) : (0);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        tmp = v.base(ig,m) * Gxy;
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += tmp * u.base(jg,n);
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (dnyRm1!=0) {dnyRm1 -= ((rxy>1e-12)?(rdotny/(rxy*rxy*rxy)):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (dnyRm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            tmp = v.base(ig,m) * v.wgt(ig) * dnyRm1;
+                            if (size(e2du,2)==1) {M(e2dv(i,m),e2du(j)) += tmp;}
+                            else if (size(e2du,2)==3)
+                            {
+                                u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                                for (std::size_t n=0; n<size(e2du,2); ++n)
+                                {
+                                    if (e2du(j,n)!=-1)
+                                    {
+                                        M(e2dv(i,m),e2du(j,n)) += tmp * projectP1(n);
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayerInfinite(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    S xdoty, xdotny;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                xdoty  = X(ix,0)*u.gss(jg,0) + X(ix,1)*u.gss(jg,1) + X(ix,2)*u.gss(jg,2);
+                xdotny = X(ix,0)*u.gssnrm(jg,0) + X(ix,1)*u.gssnrm(jg,1) + X(ix,2)*u.gssnrm(jg,2);
+                Gxy    = (-imk*xdotny) * std::exp(-imk*xdoty) * u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> hypersingular(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                        matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, Rm1, dnyRm1, k2=std::pow(wavenumber,2);
+    T Gxy, k2ndotnG, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {Rm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0))+
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1))+
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)));
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    k2ndotnG = Gxy * k2 * (v.gssnrm(ig,0)*u.gssnrm(jg,0) +
+                                           v.gssnrm(ig,1)*u.gssnrm(jg,1) +
+                                           v.gssnrm(ig,2)*u.gssnrm(jg,2) );
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += (k2ndotnG * v.base(ig,m) * u.base(jg,n) -
+                                                           Gxy * (
+                                                                  v.nxgrad(ig,m,0) * u.nxgrad(jg,n,0) +
+                                                                  v.nxgrad(ig,m,1) * u.nxgrad(jg,n,1) +
+                                                                  v.nxgrad(ig,m,2) * u.nxgrad(jg,n,2) ));
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (Rm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            jg = u.elt2gss(Je(j),0);
+                            k2ndotnG = v.base(ig,m) * v.wgt(ig) * Rm1 * k2 * (v.gssnrm(ig,0)*u.gssnrm(jg,0) +
+                                                                              v.gssnrm(ig,1)*u.gssnrm(jg,1) +
+                                                                              v.gssnrm(ig,2)*u.gssnrm(jg,2) );
+                            u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                            for (std::size_t n=0; n<size(e2du,2); ++n)
+                            {
+                                if (e2du(j,n)!=-1)
+                                {
+                                    M(e2dv(i,m),e2du(j,n)) += k2ndotnG * projectP1(n) - v.wgt(ig) * Rm1 *
+                                    (- v.nxgrad(ig,m,0) * u.tridata(Je(j)).tau(n,0)
+                                     - v.nxgrad(ig,m,1) * u.tridata(Je(j)).tau(n,1)
+                                     - v.nxgrad(ig,m,2) * u.tridata(Je(j)).tau(n,2)) / u.tridata(Je(j)).hgt(n);
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
diff --git a/include/fem.hpp b/include/fem.hpp
new file mode 100644
index 0000000..8802bde
--- /dev/null
+++ b/include/fem.hpp
@@ -0,0 +1,1539 @@
+/*
+ +========================================================================+
+ |         (c) 2020 - PROPERTY OF ECOLE POLYTECHNIQUE - LGPL 3.0          |
+ |________________________________________________________________________|
+ |   '&`   |                                                              |
+ |    #    |   FILE       : bembuilder.hpp                                |
+ |    #    |   VERSION    : 0.1.0                                         |
+ |   _#_   |   AUTHOR(S)  : Matthieu Aussal & Marc Bakry                  |
+ |  ( # )  |   CREATION   : 01.04.2020                                    |
+ |  / 0 \  |   LAST MODIF : 31.10.2020                                    |
+ | ( === ) |   SYNOPSIS   : Boundary Element Methods with Finite elements |
+ |  `---'  |                representation                                |
+ +========================================================================+
+ */
+
+#pragma once
+#include <castor/matrix.hpp>
+#include <castor/smatrix.hpp>
+
+using namespace castor;
+
+//==========================================================================//
+//                           ENVIRONMENT DATA                               //
+//==========================================================================//
+enum femoperator{none, gradient};
+enum femtype{vertices, lagrangeP0, lagrangeP1};
+enum bemsource{PWsource, dnPWsource, SWsource, dnSWsource};
+
+
+//==========================================================================//
+//                        TRIANGLEDATA CLASS                                //
+//==========================================================================//
+//==========================================================================
+// [triangledata]
+///
+template<typename T>
+class triangledata
+{
+public:
+    auto intsing(T x0, T y0, T z0) const;
+    bool isfar(T x0, T y0, T z0) const;
+    void projectP1(T x0, T y0, T z0, matrix<T>& P) const;
+    void update(matrix<T>const& S);
+    void update(matrix<T>const& A, matrix<T>const& B, matrix<T>const& C);
+    
+    matrix<T>const& ctr() const {return m_ctr;};
+    matrix<T>const& nrm() const {return m_nrm;};
+    matrix<T>const& nu()  const {return m_nu;};
+    matrix<T>const& tau() const {return m_tau;};
+    T const& A(std::size_t i) const   {return m_A(i);};
+    T const& B(std::size_t i) const   {return m_B(i);};
+    T const& C(std::size_t i) const   {return m_C(i);};
+    T const& ctr(std::size_t i) const {return m_ctr(i);};
+    T const& hgt(std::size_t i) const {return m_hgt(i);};
+    T const& nrm(std::size_t i) const {return m_nrm(i);};
+    T const& nu(std::size_t i, std::size_t j) const {return m_nu(i,j);};
+    T const& srf() const              {return m_srf;}
+    T const& tau(std::size_t i, std::size_t j) const {return m_tau(i,j);};
+    
+private:
+    matrix<T> m_A   = matrix<T>(1,3); // FIRST NODE
+    matrix<T> m_B   = matrix<T>(1,3); // SECOND NODE
+    matrix<T> m_C   = matrix<T>(1,3); // THIRD NODE
+    matrix<T> m_ctr = matrix<T>(1,3); // CENTER
+    matrix<T> m_hgt = matrix<T>(1,3); // HEIGHT
+    matrix<T> m_lgt = matrix<T>(1,3); // EDGE LENGTH
+    matrix<T> m_nrm = matrix<T>(1,3); // TRIANGLE NORMAL
+    matrix<T> m_nu  = matrix<T>(3,3); // EDGE NORMALS
+    T         m_srf = 0;              // SURFACE
+    T         m_stp = 0;              // MAX EDGE LENGTH
+    matrix<T> m_tau = matrix<T>(3,3); // EDGE TANGENT
+};
+
+//==========================================================================
+//
+///
+template<typename T>
+auto triangledata<T>::intsing(T x0, T y0, T z0) const
+{
+    // initialize
+    std::size_t ip, ipp;
+    static matrix<T> xX0S(1,3), yX0S(1,3), zX0S(1,3);
+    static matrix<T> nrmX0S(1,3), ca(1,3), sa(1,3), xnu(1,3);
+    T omega, h, ps, psp1, ps2, ah, ar, intaRm1;
+    T Rm1, dnRm1;
+    T tol = 1e-7;
+    
+    // Point to vertex
+    xX0S(0) = m_A(0) - x0;
+    xX0S(1) = m_B(0) - x0;
+    xX0S(2) = m_C(0) - x0;
+    
+    yX0S(0) = m_A(1) - y0;
+    yX0S(1) = m_B(1) - y0;
+    yX0S(2) = m_C(1) - y0;
+    
+    zX0S(0) = m_A(2) - z0;
+    zX0S(1) = m_B(2) - z0;
+    zX0S(2) = m_C(2) - z0;
+
+    for(std::size_t i=0; i<3; ++i)
+    {
+        nrmX0S(i) = std::sqrt(xX0S(i)*xX0S(i)+yX0S(i)*yX0S(i)+zX0S(i)*zX0S(i));
+    }
+    
+    // Point height to triangle
+    h = xX0S(0)*m_nrm(0) + yX0S(0)*m_nrm(1) + zX0S(0)*m_nrm(2);
+    
+    // solid angle
+    if (std::abs(h)<tol) {omega = 0;}
+    else
+    {
+        for(std::size_t i=0; i<3; ++i)
+        {
+            ip = (i+1)%3;
+            ca(i) = (xX0S(i)*xX0S(ip)+yX0S(i)*yX0S(ip)+zX0S(i)*zX0S(ip))/(nrmX0S(i)*nrmX0S(ip));
+            sa(i) = std::sqrt(1 - ca(i)*ca(i));
+        }
+        omega = -M_PI;
+        for(std::size_t i=0; i<3; ++i)
+        {
+            ip = (i+1)%3; ipp = (ip+1)%3;
+            omega += std::acos((ca(i)-ca(ip)*ca(ipp))/(sa(ip)*sa(ipp)));
+        }
+        if (h < 0) {omega = -omega;}
+    }
+    if (std::isnan(omega))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Point is close to triangle, change h tolerance.");
+    }
+    
+    // initialization of integration
+    Rm1 = -h*omega;
+    dnRm1 = -omega;
+    
+    // edge integration
+    for(std::size_t i=0; i<3; ++i)
+    {
+        ip  = (i+1)%3;
+        ipp = (ip+1)%3;
+        // projections
+        ps   = xX0S(ip)*m_tau(i,0)  + yX0S(ip)*m_tau(i,1)  + zX0S(ip)*m_tau(i,2);
+        psp1 = xX0S(ipp)*m_tau(i,0) + yX0S(ipp)*m_tau(i,1) + zX0S(ipp)*m_tau(i,2);
+        ps2  = ps*(nrmX0S(ipp) - nrmX0S(ip));
+        // Subtil
+        ar = std::abs(psp1 - ps);
+        xnu(0) = xX0S(ip) - ps*m_tau(i,0);
+        xnu(1) = yX0S(ip) - ps*m_tau(i,1);
+        xnu(2) = zX0S(ip) - ps*m_tau(i,2);
+        ah = std::sqrt(xnu(0)*xnu(0) + xnu(1)*xnu(1) + xnu(2)*xnu(2));
+        // integration of 1/R on the edge - singular case
+        if( nrmX0S(ip)-std::abs(ps) < tol)
+        {
+            intaRm1 = 0;
+            // Particle on the left of the edge
+            if (ps > tol && psp1 > tol) {intaRm1 = std::log(nrmX0S(ipp)/nrmX0S(ip));}
+            // Particle on the right of the edge
+            else if (ps < -tol && psp1 < -tol) {intaRm1 = -std::log(nrmX0S(ipp)/nrmX0S(ip));}
+        }
+        // integration of 1/R on the edge - general case h>tol
+        else
+        {
+            intaRm1 = std::asinh(psp1/ah) - std::asinh(ps/ah);
+        }
+        // 1/r
+        Rm1 += intaRm1*(xX0S(ip)*m_nu(i,0) + yX0S(ip)*m_nu(i,1) + zX0S(ip)*m_nu(i,2));
+        // grad[1/r]
+        dnRm1 += intaRm1*(m_nu(i,0)*m_nrm(0) + m_nu(i,1)*m_nrm(1) + m_nu(i,2)*m_nrm(2));
+    }
+    return std::make_tuple(Rm1, dnRm1);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+bool triangledata<T>::isfar(T x0, T y0, T z0) const
+{
+    return ((x0-m_ctr(0))*(x0-m_ctr(0)) +
+            (y0-m_ctr(1))*(y0-m_ctr(1)) +
+            (z0-m_ctr(2))*(z0-m_ctr(2)) ) > 1.1*m_stp;
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void triangledata<T>::projectP1(T x0, T y0, T z0, matrix<T>& P) const
+{
+    // ((Sk-X) dot NUj) / Hj
+    P(0) = ((m_B(0)-x0)*m_nu(0,0) +
+            (m_B(1)-y0)*m_nu(0,1) +
+            (m_B(2)-z0)*m_nu(0,2) ) / m_hgt(0);
+    P(1) = ((m_C(0)-x0)*m_nu(1,0) +
+            (m_C(1)-y0)*m_nu(1,1) +
+            (m_C(2)-z0)*m_nu(1,2) ) / m_hgt(0);
+    P(2) = ((m_A(0)-x0)*m_nu(2,0) +
+            (m_A(1)-y0)*m_nu(2,1) +
+            (m_A(2)-z0)*m_nu(2,2) ) / m_hgt(2);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+inline void triangledata<T>::update(matrix<T>const& S)
+{
+    update({S(0,0),S(0,1),S(0,2)},{S(1,0),S(1,1),S(1,2)},{S(2,0),S(2,1),S(2,2)});
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+inline void triangledata<T>::update(matrix<T>const& A, matrix<T>const& B, matrix<T>const& C)
+{
+    // Nodes and center
+    for(std::size_t j=0; j<3; ++j)
+    {
+        m_A(j)   = A(j);
+        m_B(j)   = B(j);
+        m_C(j)   = C(j);
+        m_ctr(j) = (m_A(j)+m_B(j)+m_C(j))/3.;
+    }
+    
+    // Edges
+    matrix<T> AB = B-A;
+    matrix<T> BC = C-B;
+    matrix<T> CA = A-C;
+    
+    // Normal to ABC and surface
+    m_nrm(0) = AB(1)*BC(2) - AB(2)*BC(1);
+    m_nrm(1) = AB(2)*BC(0) - AB(0)*BC(2);
+    m_nrm(2) = AB(0)*BC(1) - AB(1)*BC(0);
+    m_srf    = 0.5*std::sqrt(m_nrm(0)*m_nrm(0) + m_nrm(1)*m_nrm(1) + m_nrm(2)*m_nrm(2));
+    m_nrm   /= 2*m_srf;
+    
+    // length edges
+    m_lgt(2) = std::sqrt(AB(0)*AB(0)+AB(1)*AB(1)+AB(2)*AB(2));
+    m_lgt(0) = std::sqrt(BC(0)*BC(0)+BC(1)*BC(1)+BC(2)*BC(2));
+    m_lgt(1) = std::sqrt(CA(0)*CA(0)+CA(1)*CA(1)+CA(2)*CA(2));
+    m_stp    = std::max(std::max(m_lgt(0),m_lgt(1)),m_lgt(2));
+    
+    // tangent to edges
+    for(std::size_t j=0; j<3; ++j)
+    {
+        m_tau(2,j) = AB(j)/m_lgt(2);
+        m_tau(0,j) = BC(j)/m_lgt(0);
+        m_tau(1,j) = CA(j)/m_lgt(1);
+    }
+    
+    // normal to edges
+    for(std::size_t i=0; i<3; ++i)
+    {
+        m_nu(i,0) = m_tau(i,1)*m_nrm(2)-m_tau(i,2)*m_nrm(1);
+        m_nu(i,1) = m_tau(i,2)*m_nrm(0)-m_tau(i,0)*m_nrm(2);
+        m_nu(i,2) = m_tau(i,0)*m_nrm(1)-m_tau(i,1)*m_nrm(0);
+    }
+    
+    // Height
+    m_hgt(0) = AB(0)*m_nu(0,0) + AB(1)*m_nu(0,1) + AB(2)*m_nu(0,2);
+    m_hgt(1) = BC(0)*m_nu(1,0) + BC(1)*m_nu(1,1) + BC(2)*m_nu(1,2);
+    m_hgt(2) = CA(0)*m_nu(2,0) + CA(1)*m_nu(2,1) + CA(2)*m_nu(2,2);
+};
+
+
+//==========================================================================//
+//                           FEMDATA CLASS                                  //
+//==========================================================================//
+//==========================================================================
+// [femdata]
+///
+template<typename T>
+class femdata
+{
+public:
+    femdata(matrix<std::size_t>const& elt, matrix<T>const& vtx, femtype fet, std::size_t ngs=0);
+    auto dofsubdata(matrix<std::size_t>const& Idof) const;
+    auto refQuadrature() const;
+    
+    matrix<T>const& dof() const    {return m_dof;};
+    matrix<T>const& gss() const    {return m_gss;};
+    matrix<T>const& gssnrm() const {return m_gssnrm;};
+    matrix<T>const& wgt() const    {return m_wgt;};
+    
+    matrix<std::size_t>const& elt2dof() const {return m_elt2dof;};
+    matrix<std::size_t>const& elt2gss() const {return m_elt2gss;};
+    
+    T const& base(std::size_t i, std::size_t j) const {return m_base(i,j);};
+    T const& dof(std::size_t i, std::size_t j) const {return m_dof(i,j);};
+    T const& grad(std::size_t i, std::size_t j, std::size_t k) const {return m_grad[k](i,j);};
+    T const& gss(std::size_t i, std::size_t j) const {return m_gss(i,j);};
+    T const& gssnrm(std::size_t i, std::size_t j) const {return m_gssnrm(i,j);};
+    T const& nxgrad(std::size_t i, std::size_t j, std::size_t k) const {return m_nxgrad[k](i,j);};
+    T const& wgt(std::size_t i) const {return m_wgt(i);};
+    
+    std::size_t const& elt2dof(std::size_t i, std::size_t j) const {return m_elt2dof(i,j);};
+    std::size_t const& elt2gss(std::size_t i, std::size_t j) const {return m_elt2gss(i,j);};
+    
+    triangledata<T>const& tridata(std::size_t i) const {return m_tridata[i];};
+    
+private:
+    // PRIVATE BUILDER
+    void m_buildBase();
+    void m_buildDof();
+    void m_buildGeometry();
+    void m_buildGrad();
+    void m_buildQuadrature();
+    
+    // ATTRIBUTS
+    femtype                          m_fet;       // ENUM       : TYPE OF FINITE ELEMENT
+    std::size_t                      m_ngs;       // DIMENSION  : SIZE OF ELEMENTARY QUADRATURE
+    matrix<T>                        m_dof;       // COORDINATES: DEGREES OF FREEDOM
+    matrix<T>                        m_gss;       // COORDINATES: GAUSSIAN QUADRATURE
+    matrix<T>                        m_gssnrm;    // COORDINATES: NORMALS AT GAUSS POINTS
+    matrix<T>                        m_vtx;       // COORDINATES: NODES
+    matrix<T>                        m_wgt;       // VALUES     : GAUSSIAN WEIGHTS
+    std::vector<matrix<std::size_t>> m_dof2elt;   // TABLE      : DOF TO ELEMENT
+    matrix<std::size_t>              m_elt2dof;   // TABLE      : ELEMENTS TO DOF
+    matrix<std::size_t>              m_elt2gss;   // TABLE      : ELEMENTS TO GAUSSIAN QUADRATURE
+    matrix<std::size_t>              m_elt2vtx;   // TABLE      : ELEMENTS TO NODES
+    matrix<T>                        m_base;      // OPERATOR   : BASIS
+    std::vector<matrix<T>>           m_grad;      // OPERATOR   : GRADIENT
+    std::vector<matrix<T>>           m_nxgrad;    // OPERATOR   : NORMALxGRADIENT
+    std::vector<triangledata<T>>     m_tridata;   // GEOMETRY   : TRIANGLE DATA
+};
+
+//==========================================================================
+//
+///
+template<typename T>
+femdata<T>::femdata(matrix<std::size_t>const& elt, matrix<T>const& vtx, femtype fet, std::size_t ngs)
+{
+    // Check input
+    if (size(vtx,2)!=3 || size(elt,2)!=3)
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices should be a Nvtx-by-3 real matrix and elements a Nelt-by-3 integer matrix.");
+    }
+    
+    // Input data
+    m_vtx     = vtx;
+    m_elt2vtx = elt;
+    m_ngs     = ngs;
+    m_fet     = fet;
+    
+    // Computed data
+    m_buildGeometry();
+    m_buildQuadrature();
+    m_buildDof();
+    m_buildBase();
+    m_buildGrad();
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+auto femdata<T>::dofsubdata(matrix<std::size_t>const& Idof) const
+{
+    // Elements associated to dof indices
+    std::vector<std::size_t> v;
+    for (std::size_t l=0; l<numel(Idof); ++l)
+    {
+        v.insert(v.end(),std::begin(m_dof2elt[Idof(l)].val()),std::end(m_dof2elt[Idof(l)].val()));
+    }
+    matrix<std::size_t> Ielt = unique<std::size_t>(v);
+    
+    // Local renumerotation of dof indices
+    matrix<std::size_t> e2d = eval(m_elt2dof(Ielt,col(m_elt2dof)));
+    matrix<std::size_t> i1=argsort(Idof), i2=argsort(e2d);
+    matrix<long> e2dl(size(e2d,1),size(e2d,2),-1);
+    std::size_t k=0, l=0;
+    while (l<numel(e2d))
+    {
+        if (e2d(i2(l))<Idof(i1(k))) {++l;}
+        else if (e2d(i2(l))==Idof(i1(k)))
+        {
+            e2dl(i2(l)) = i1(k);
+            ++l;
+        }
+        else if (e2d(i2(l))>Idof(i1(k)))
+        {
+            ++k;
+            if (k==numel(Idof)){break;}
+        }
+    }
+    return std::make_tuple(Ielt,e2dl);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+auto femdata<T>::refQuadrature() const
+{
+    matrix<T> gssloc(m_ngs,2), wgtloc(m_ngs,1);
+    double a, b, w;
+    switch(m_ngs)
+    {
+        case 0:
+            break;
+            
+        case 1:
+            gssloc(0,0) = 1/3.; gssloc(0,1) = 1/3.; wgtloc(0) = 0.5;
+            break;
+            
+        case 3:
+            a = 2/3.; b = 1/6.; w = 1/6.;
+            wgtloc(0) = w; wgtloc(1) = w; wgtloc(2) = w;
+            gssloc(0,0) = a; gssloc(0,1) = b;
+            gssloc(1,0) = b; gssloc(1,1) = a;
+            gssloc(2,0) = b; gssloc(2,1) = b;
+            break;
+            
+        case 6:
+            a = 0.816847572980459; b = 0.091576213509771; w = 0.109951743655322/2.;
+            wgtloc(0) = w; wgtloc(1) = w; wgtloc(2) = w;
+            gssloc(0,0) = a; gssloc(0,1) = b;
+            gssloc(1,0) = b; gssloc(1,1) = a;
+            gssloc(2,0) = b; gssloc(2,1) = b;
+            a = 0.108103018168070; b = 0.445948490915965; w = 0.223381589678011/2.;
+            wgtloc(3) = w; wgtloc(4) = w; wgtloc(5) = w;
+            gssloc(3,0) = a; gssloc(3,1) = b;
+            gssloc(4,0) = b; gssloc(4,1) = a;
+            gssloc(5,0) = b; gssloc(5,1) = b;
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Unvalid quadrature size (available are 0, 1, 3 and 6).");
+            break;
+    }
+    return std::make_tuple(gssloc,wgtloc);
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildBase()
+{
+    // Initialize
+    matrix<T> gssloc,wgtloc;
+    std::vector<matrix<T>> fct(size(m_elt2dof,2),matrix<T>(1,m_ngs));
+    m_base = zeros<T>(size(m_gss,1),size(m_elt2dof,2));
+    
+    // Reference quadrature
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // Basis functions
+    switch(m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0:
+            fct[0] = ones<T>(1,m_ngs);
+            break;
+            
+        case lagrangeP1:
+            for(std::size_t g=0; g<m_ngs; ++g)
+            {
+                fct[0](g) = 1 - gssloc(g,0) - gssloc(g,1);
+                fct[1](g) = gssloc(g,0);
+                fct[2](g) = gssloc(g,1);
+            }
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Assembling
+    for (std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        for (std::size_t d=0; d<size(m_elt2dof,2); ++d)
+        {
+            for (std::size_t g=0; g<m_ngs; ++g)
+            {
+                m_base(m_elt2gss(e,g),d) = fct[d](g);
+            }
+        }
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildDof()
+{
+    // Dof, elt2dof
+    switch(m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0 :
+            m_dof = zeros<T>(size(m_elt2vtx,1),size(m_vtx,2));
+            for (std::size_t i=0; i<size(m_elt2vtx,1); ++i)
+            {
+                for (std::size_t j=0; j<size(m_elt2vtx,2); ++j)
+                {
+                    m_dof(i,0) += m_vtx(m_elt2vtx(i,j),0);
+                    m_dof(i,1) += m_vtx(m_elt2vtx(i,j),1);
+                    m_dof(i,2) += m_vtx(m_elt2vtx(i,j),2);
+                }
+            }
+            m_dof /= size(m_elt2vtx,2);
+            m_elt2dof = transpose(range(0,size(m_elt2vtx,1)));
+            break;
+            
+        case lagrangeP1 :
+            m_dof     = m_vtx;
+            m_elt2dof = m_elt2vtx;
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Number of elements close to dof
+    matrix<std::size_t> ind(1,size(m_dof,1));
+    for (std::size_t l=0; l<numel(m_elt2dof); ++l)
+    {
+        ++ind(m_elt2dof(l));
+    }
+    
+    // Initialize tables
+    m_dof2elt.resize(size(m_dof,1));
+    for (std::size_t d=0; d<size(m_dof,1); ++d)
+    {
+        m_dof2elt[d].resize(1,ind(d));
+        ind(d)=0;
+    }
+    
+    // Fill tables
+    std::size_t d;
+    for (std::size_t e=0; e<size(m_elt2dof,1); ++e)
+    {
+        for (std::size_t j=0; j<size(m_elt2dof,2); ++j)
+        {
+            d = m_elt2dof(e,j);
+            m_dof2elt[d](ind(d)) = e;
+            ++ind(d);
+        }
+    }
+    
+    // Check error
+    if (sum(ind)!=numel(m_elt2dof))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Unavailable case.");
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildGrad()
+{
+    // Initialize
+    matrix<T> gssloc,wgtloc;
+    std::vector<matrix<T>> fctX(size(m_elt2dof,2),zeros<T>(1,m_ngs));
+    std::vector<matrix<T>> fctY(size(m_elt2dof,2),zeros<T>(1,m_ngs));
+    m_grad   = std::vector<matrix<T>>(3, matrix<T>(size(m_gss,1),size(m_elt2dof,2)));
+    m_nxgrad = std::vector<matrix<T>>(3, matrix<T>(size(m_gss,1),size(m_elt2dof,2)));
+    matrix<T> AB(1,3), AC(1,3), G(2,2), Gm1(2,2), P(2,3);
+    T detG;
+    
+    // Reference quadrature
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // Basis functions
+    switch (m_fet)
+    {
+        case vertices :
+            break;
+            
+        case lagrangeP0:
+            break;
+            
+        case lagrangeP1:
+            for(std::size_t g=0; g<m_ngs; ++g)
+            {
+                fctX[0](g) = -1; fctY[0](g) = -1;
+                fctX[1](g) = 1;  fctY[1](g) = 0;
+                fctX[2](g) = 0;  fctY[2](g) = 1;
+            }
+            break;
+            
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Invalid basis function type");
+            break;
+    }
+    
+    // Build grad operator
+    for(std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        // For each coordinate
+        G = zeros<T>(2,2);
+        for(std::size_t j=0; j<3; ++j)
+        {
+            // Vector basis
+            AB(j) = m_vtx(m_elt2vtx(e,1),j) - m_vtx(m_elt2vtx(e,0),j);
+            AC(j) = m_vtx(m_elt2vtx(e,2),j) - m_vtx(m_elt2vtx(e,0),j);
+            
+            // Gramm matrix (symetric)
+            G(0,0) += AB(j)*AB(j);
+            G(0,1) += AB(j)*AC(j);
+            G(1,1) += AC(j)*AC(j);
+        }
+        G(1,0) = G(0,1);
+        
+        // inverse of Gramm matrix
+        detG     = G(0,0)*G(1,1) - G(1,0)*G(0,1);
+        Gm1(0,0) = G(1,1)/detG;  Gm1(0,1) = -G(0,1)/detG;
+        Gm1(1,0) = -G(1,0)/detG; Gm1(1,1) = G(0,0)/detG;
+        
+        // P = (G^{-1})^t {AB;AC}
+        for(std::size_t j=0; j<3; ++j)
+        {
+            P(0,j) = Gm1(0,0)*AB(j) + Gm1(1,0)*AC(j);
+            P(1,j) = Gm1(0,1)*AB(j) + Gm1(1,1)*AC(j);
+        }
+        
+        // grad(PHI) = P * grad(PHI_ref)
+        for(std::size_t j=0; j<3; ++j)
+        {
+            for(std::size_t d=0; d<size(m_elt2dof,2); ++d)
+            {
+                for(std::size_t g=0; g<m_ngs; ++g)
+                {
+                    m_grad[j](m_elt2gss(e,g),d) = P(0,j)*fctX[d](g) + P(1,j)*fctY[d](g);
+                }
+            }
+        }
+    }
+    
+    // Build nxgrad operator
+    for(std::size_t k=0; k<m_grad.size(); ++k)
+    {
+        for(std::size_t i=0; i<size(m_grad[k],1); ++i)
+        {
+            for(std::size_t j=0; j<size(m_grad[k],2); ++j)
+            {
+                m_nxgrad[k](i,j) = (m_gssnrm(i,(k+1)%3)*m_grad[(k+2)%3](i,j) -
+                                    m_gssnrm(i,(k+2)%3)*m_grad[(k+1)%3](i,j) );
+            }
+        }
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildGeometry()
+{
+    m_tridata = std::vector<triangledata<T>>(size(m_elt2vtx,1),triangledata<T>());
+    matrix<T> A(1,3), B(1,3), C(1,3);
+    for (std::size_t e=0; e<size(m_elt2vtx,1); ++e)
+    {
+        for (std::size_t j=0; j<3; ++j)
+        {
+            A(j) = m_vtx(m_elt2vtx(e,0),j);
+            B(j) = m_vtx(m_elt2vtx(e,1),j);
+            C(j) = m_vtx(m_elt2vtx(e,2),j);
+        }
+        m_tridata[e].update(A,B,C);
+    }
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+void femdata<T>::m_buildQuadrature()
+{
+    // Initialize data
+    std::size_t ne = size(m_elt2vtx,1);
+    m_gss          = zeros<T>(m_ngs*ne,3);
+    m_wgt          = zeros<T>(m_ngs*ne,1);
+    m_gssnrm       = zeros<T>(m_ngs*ne,3);
+    m_elt2gss      = zeros<std::size_t>(ne,m_ngs);
+    matrix<T> AB(1,3), AC(1,3), gssloc, wgtloc;
+    std::size_t ind;
+    
+    // Quadrature on reference element {(0,0), (1,0), (0,1)}
+    std::tie(gssloc,wgtloc) = refQuadrature();
+    
+    // For each element
+    for(std::size_t e=0; e<ne; ++e)
+    {
+        // Basis vectors (AB and AC)
+        for(std::size_t j=0; j<3; ++j)
+        {
+            AB(j) = m_tridata[e].B(j) - m_tridata[e].A(j);
+            AC(j) = m_tridata[e].C(j) - m_tridata[e].A(j);
+        }
+        
+        // Local gauss nodes: XG = A + [B-A C-A]*XGloc, weights and normals
+        for(std::size_t g=0; g<m_ngs; ++g)
+        {
+            ind = e*m_ngs + g;
+            m_elt2gss(e,g) = ind;
+            m_wgt(ind)     = 2*m_tridata[e].srf()*wgtloc(g);
+            for(std::size_t j=0; j<3; ++j)
+            {
+                m_gss(ind,j)    = m_tridata[e].A(j) + AB(j)*gssloc(g,0) + AC(j)*gssloc(g,1);
+                m_gssnrm(ind,j) = m_tridata[e].nrm(j);
+            }
+        }
+    }
+}
+
+
+//==========================================================================//
+//                           INTEGRAL EQUATION                              //
+//==========================================================================//
+//==========================================================================
+//
+///
+template<typename T>
+matrix<std::complex<T>> planeWave(matrix<T>const& X, matrix<T>const& U, T wavenumber)
+{
+    if (size(X,2)!=size(U,2))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices X and direction U should have same number of columns.");
+    }
+    if (norm(U,"2") != 1.)
+    {
+        warning(__FILE__, __LINE__, __FUNCTION__,"Plane wave direction is not normalized.");
+    }
+    std::complex<T> imk(0,wavenumber);
+    return exp(imk*mtimes(X,transpose(U)));
+}
+
+//==========================================================================
+//
+///
+template<typename T>
+matrix<std::complex<T>> dnplaneWave(matrix<T>const& X, matrix<T>const& N, matrix<T>const& U, T wavenumber)
+{
+    if (size(X,2)!=size(U,2) || size(N,2)!=size(U,2))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Vertices X, normals N and direction U should have same number of columns.");
+    }
+    if (norm(U,"2") != 1.)
+    {
+        warning(__FILE__, __LINE__, __FUNCTION__,"Plane wave direction is not normalized.");
+    }
+    std::complex<T> imk(0,wavenumber);
+    return imk * mtimes(N,transpose(U)) * exp(imk*mtimes(X,transpose(U)));
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> rightHandSide(femdata<S>const& v, bemsource source, matrix<S>const& Y, S wavenumber=0)
+{
+    // Initialization
+    matrix<T> B(size(v.dof(),1),1);
+    matrix<T> Sxy;
+    switch (source)
+    {
+        case PWsource:
+            Sxy = planeWave<S>(v.gss(),Y,wavenumber);
+            break;
+        case dnPWsource:
+            Sxy = dnplaneWave<S>(v.gss(),v.gssnrm(),Y,wavenumber);
+            break;
+        default:
+            error(__FILE__, __LINE__, __FUNCTION__,"Source term not defined.");
+            break;
+    }
+    
+    // Builder
+    std::size_t ig;
+    for (std::size_t e=0; e<size(v.elt2dof(),1); ++e)
+    {
+        for (std::size_t g=0; g<size(v.elt2gss(),2); ++g)
+        {
+            ig = v.elt2gss(e,g);
+            for (std::size_t d=0; d<size(v.elt2dof(),2); ++d)
+            {
+                B(v.elt2dof(e,d)) += Sxy(ig) * v.wgt(ig) * v.base(ig,d);
+            }
+        }
+    }
+    return B;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+smatrix<T> mass(femdata<S>const& v)
+{
+    std::vector<std::size_t> ind;
+    std::vector<T> val;
+    std::size_t ndof = size(v.dof(),1);
+    for (std::size_t e=0; e<size(v.elt2dof(),1); ++e)
+    {
+        for (std::size_t g=0; g<size(v.elt2gss(),2); ++g)
+        {
+            std::size_t ig = v.elt2gss(e,g);
+            for (std::size_t i=0; i<size(v.elt2dof(),2); ++i)
+            {
+                for (std::size_t j=0; j<size(v.elt2dof(),2); ++j)
+                {
+                    ind.push_back(v.elt2dof(e,i)*ndof+v.elt2dof(e,j));
+                    val.push_back(v.base(ig,i) * v.wgt(ig) * v.base(ig,j));
+                }
+            }
+        }
+    }
+    return smatrix<T>(ndof,ndof,ind,val);
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(matrix<S>const& X, matrix<S>const& Y, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Iy={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Iy)==0) {Iy = range(0,size(Y,1));}
+    if (max(Ix)>size(X,1) || max(Iy)>size(Y,1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Iy));
+    
+    // Initialize local data
+    std::size_t ix, iy;
+    S rxy;
+    T imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Build
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        for (std::size_t j=0; j<numel(Iy); ++j)
+        {
+            iy  = Iy(j);
+            rxy = std::sqrt((X(ix,0)-Y(iy,0))*(X(ix,0)-Y(iy,0)) +
+                            (X(ix,1)-Y(iy,1))*(X(ix,1)-Y(iy,1)) +
+                            (X(ix,2)-Y(iy,2))*(X(ix,2)-Y(iy,2)) );
+            if (wavenumber==0)
+            {
+                M(i,j) = (rxy>1e-12)? (1./rxy) : (0);
+            }
+            else
+            {
+                M(i,j) = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    matrix<S> projectP1(1,3);
+    S rxy, Rm1, dnyRm1;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Analytic integration
+            if (u.tridata(Je(j)).isfar(X(ix,0),X(ix,1),X(ix,2))) {Rm1 = 0;}
+            else
+            {
+                std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(X(ix,0),X(ix,1),X(ix,2));
+            }
+            
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                rxy = std::sqrt((X(ix,0)-u.gss(jg,0))*(X(ix,0)-u.gss(jg,0)) +
+                                (X(ix,1)-u.gss(jg,1))*(X(ix,1)-u.gss(jg,1)) +
+                                (X(ix,2)-u.gss(jg,2))*(X(ix,2)-u.gss(jg,2)));
+                if (wavenumber==0)
+                {
+                    Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                }
+                else
+                {
+                    Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                }
+                
+                // Integration
+                Gxy *= u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+                
+                // Gaussian integration
+                if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+            }
+            
+            // Regularization
+            if (Rm1!=0)
+            {
+                // Lagrange P0
+                if (size(e2du,2)==1) {M(i,e2du(j)) += Rm1;}
+                // Lagrange P1
+                else if (size(e2du,2)==3)
+                {
+                    u.tridata(Je(j)).projectP1(X(ix,0),X(ix,1),X(ix,2),projectP1);
+                    for (std::size_t l=0; l<size(e2du,2); ++l)
+                    {
+                        if (e2du(j,l)!=-1)
+                        {
+                            M(i,e2du(j,l)) += Rm1 * projectP1(l);
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayer(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, Rm1, dnyRm1;
+    T tmp, Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {Rm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0))+
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1))+
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)));
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        tmp = v.base(ig,m) * Gxy;
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += tmp * u.base(jg,n);
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (Rm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            tmp = v.base(ig,m) * v.wgt(ig) * Rm1;
+                            if (size(e2du,2)==1) {M(e2dv(i,m),e2du(j)) += tmp;}
+                            else if (size(e2du,2)==3)
+                            {
+                                u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                                for (std::size_t n=0; n<size(e2du,2); ++n)
+                                {
+                                    if (e2du(j,n)!=-1)
+                                    {
+                                        M(e2dv(i,m),e2du(j,n)) += tmp * projectP1(n);
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> singleLayerInfinite(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    S xdoty;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                xdoty = X(ix,0)*u.gss(jg,0) + X(ix,1)*u.gss(jg,1) + X(ix,2)*u.gss(jg,2);
+                Gxy   = std::exp(-imk*xdoty) * u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayer(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    matrix<S> projectP1(1,3);
+    S rxy, rdotny, Rm1, dnyRm1;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Analytic integration
+            if (u.tridata(Je(j)).isfar(X(ix,0),X(ix,1),X(ix,2))) {dnyRm1 = 0;}
+            else
+            {
+                std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(X(ix,0),X(ix,1),X(ix,2));
+            }
+            
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                rxy = std::sqrt((X(ix,0)-u.gss(jg,0))*(X(ix,0)-u.gss(jg,0)) +
+                                (X(ix,1)-u.gss(jg,1))*(X(ix,1)-u.gss(jg,1)) +
+                                (X(ix,2)-u.gss(jg,2))*(X(ix,2)-u.gss(jg,2)) );
+                rdotny = ((X(ix,0)-u.gss(jg,0))*u.gssnrm(jg,0) +
+                          (X(ix,1)-u.gss(jg,1))*u.gssnrm(jg,1) +
+                          (X(ix,2)-u.gss(jg,2))*u.gssnrm(jg,2) );
+                if (wavenumber==0)
+                {
+                    Gxy = (rxy>1e-12)? (rdotny/(rxy*rxy*rxy)) : (0);
+                }
+                else
+                {
+                    Gxy = (rxy>1e-12)? (rdotny*(1./rxy-imk)*std::exp(imk*rxy)/(rxy*rxy)) : (0);
+                }
+                
+                // Integration
+                Gxy *= u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+                
+                // Gaussian integration
+                if (dnyRm1!=0) {dnyRm1 -= ((rxy>1e-12)?(rdotny/(rxy*rxy*rxy)):(0)) * u.wgt(jg);}
+            }
+            
+            // Regularization
+            if (dnyRm1!=0)
+            {
+                // Lagrange P0
+                if (size(e2du,2)==1) {M(i,e2du(j)) += dnyRm1;}
+                // Lagrange P1
+                else if (size(e2du,2)==3)
+                {
+                    u.tridata(Je(j)).projectP1(X(ix,0),X(ix,1),X(ix,2),projectP1);
+                    for (std::size_t l=0; l<size(e2du,2); ++l)
+                    {
+                        if (e2du(j,l)!=-1)
+                        {
+                            M(i,e2du(j,l)) += dnyRm1 * projectP1(l);
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayer(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, rdotny, Rm1, dnyRm1;
+    T tmp, Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {dnyRm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0)) +
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1)) +
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)) );
+                    rdotny = ((xg(0)-u.gss(jg,0))*u.gssnrm(jg,0) +
+                              (xg(1)-u.gss(jg,1))*u.gssnrm(jg,1) +
+                              (xg(2)-u.gss(jg,2))*u.gssnrm(jg,2) );
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (rdotny/(rxy*rxy*rxy)) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (rdotny*(1./rxy-imk)*std::exp(imk*rxy)/(rxy*rxy)) : (0);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        tmp = v.base(ig,m) * Gxy;
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += tmp * u.base(jg,n);
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (dnyRm1!=0) {dnyRm1 -= ((rxy>1e-12)?(rdotny/(rxy*rxy*rxy)):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (dnyRm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            tmp = v.base(ig,m) * v.wgt(ig) * dnyRm1;
+                            if (size(e2du,2)==1) {M(e2dv(i,m),e2du(j)) += tmp;}
+                            else if (size(e2du,2)==3)
+                            {
+                                u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                                for (std::size_t n=0; n<size(e2du,2); ++n)
+                                {
+                                    if (e2du(j,n)!=-1)
+                                    {
+                                        M(e2dv(i,m),e2du(j,n)) += tmp * projectP1(n);
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> doubleLayerInfinite(matrix<S>const& X, femdata<S>const& u, S wavenumber=0,
+                      matrix<std::size_t> Ix={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Ix)==0) {Ix = range(0,size(X,1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    if (max(Ix)>size(X,1) || max(Jd)>size(u.dof(),1))
+    {
+        error(__FILE__, __LINE__, __FUNCTION__,"Indices are not in data bound.");
+    }
+    matrix<T> M(numel(Ix),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Je;
+    matrix<long> e2du;
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ix, jg;
+    S xdoty, xdotny;
+    T Gxy, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Collocation points
+    for (std::size_t i=0; i<numel(Ix); ++i)
+    {
+        ix = Ix(i);
+        // Emmiters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Gaussian quadrature
+            for (std::size_t k=0; k<size(u.elt2gss(),2); ++k)
+            {
+                jg = u.elt2gss(Je(j),k);
+                
+                // Green kernel
+                xdoty  = X(ix,0)*u.gss(jg,0) + X(ix,1)*u.gss(jg,1) + X(ix,2)*u.gss(jg,2);
+                xdotny = X(ix,0)*u.gssnrm(jg,0) + X(ix,1)*u.gssnrm(jg,1) + X(ix,2)*u.gssnrm(jg,2);
+                Gxy    = (-imk*xdotny) * std::exp(-imk*xdoty) * u.wgt(jg);
+                
+                // Dof repartition
+                for (std::size_t l=0; l<size(e2du,2); ++l)
+                {
+                    if (e2du(j,l)!=-1)
+                    {
+                        M(i,e2du(j,l)) += Gxy * u.base(jg,l);
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
+
+//==========================================================================
+//
+///
+template<typename T, typename S>
+matrix<T> hypersingular(femdata<S>const& v, femdata<S>const& u, S wavenumber=0,
+                        matrix<std::size_t> Id={}, matrix<std::size_t> Jd={})
+{
+    // Initialize dof data
+    if (numel(Id)==0) {Id = range(0,size(v.dof(),1));}
+    if (numel(Jd)==0) {Jd = range(0,size(u.dof(),1));}
+    matrix<T> M(numel(Id),numel(Jd));
+    
+    // Initialize element data
+    matrix<std::size_t> Ie, Je;
+    matrix<long> e2dv, e2du;
+    std::tie(Ie,e2dv) = v.dofsubdata(Id);
+    std::tie(Je,e2du) = u.dofsubdata(Jd);
+    
+    // Initialize local data
+    std::size_t ig, jg;
+    matrix<S> projectP1(1,3), xg(1,3);
+    S rxy, Rm1, dnyRm1, k2=std::pow(wavenumber,2);
+    T Gxy, k2ndotnG, imk=std::sqrt(T(-1))*wavenumber;
+    
+    // Receiver elements
+    for (std::size_t i=0; i<length(Ie); ++i)
+    {
+        // Emitters elements
+        for (std::size_t j=0; j<length(Je); ++j)
+        {
+            // Receiver gauss points
+            for (std::size_t k=0; k<size(v.elt2gss(),2); ++k)
+            {
+                // Emmiters analytic integration for receiver gauss point
+                ig = v.elt2gss(Ie(i),k);
+                xg(0)=v.gss(ig,0); xg(1)=v.gss(ig,1); xg(2)=v.gss(ig,2);
+                if (u.tridata(Je(j)).isfar(xg(0),xg(1),xg(2))) {Rm1 = 0;}
+                else
+                {
+                    std::tie(Rm1,dnyRm1) = u.tridata(Je(j)).intsing(xg(0),xg(1),xg(2));
+                }
+                
+                // Emmiter gauss points
+                for (std::size_t l=0; l<size(u.elt2gss(),2); ++l)
+                {
+                    jg = u.elt2gss(Je(j),l);
+                    
+                    // Green kernel
+                    rxy = std::sqrt((xg(0)-u.gss(jg,0))*(xg(0)-u.gss(jg,0))+
+                                    (xg(1)-u.gss(jg,1))*(xg(1)-u.gss(jg,1))+
+                                    (xg(2)-u.gss(jg,2))*(xg(2)-u.gss(jg,2)));
+                    if (wavenumber==0)
+                    {
+                        Gxy = (rxy>1e-12)? (1./rxy) : (0);
+                    }
+                    else
+                    {
+                        Gxy = (rxy>1e-12)? (std::exp(imk*rxy)/rxy) : (imk);
+                    }
+                    
+                    // Integration
+                    Gxy *= v.wgt(ig) * u.wgt(jg);
+                    k2ndotnG = Gxy * k2 * (v.gssnrm(ig,0)*u.gssnrm(jg,0) +
+                                           v.gssnrm(ig,1)*u.gssnrm(jg,1) +
+                                           v.gssnrm(ig,2)*u.gssnrm(jg,2) );
+                    
+                    // Dof repartition
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        for (std::size_t n=0; n<size(e2du,2); ++n)
+                        {
+                            if (e2dv(i,m)!=-1 && e2du(j,n)!=-1)
+                            {
+                                M(e2dv(i,m),e2du(j,n)) += (k2ndotnG * v.base(ig,m) * u.base(jg,n) -
+                                                           Gxy * (
+                                                                  v.nxgrad(ig,m,0) * u.nxgrad(jg,n,0) +
+                                                                  v.nxgrad(ig,m,1) * u.nxgrad(jg,n,1) +
+                                                                  v.nxgrad(ig,m,2) * u.nxgrad(jg,n,2) ));
+                            }
+                        }
+                    }
+                    
+                    // Gaussian integration
+                    if (Rm1!=0) {Rm1 -= ((rxy>1e-12)?(1./rxy):(0)) * u.wgt(jg);}
+                }
+                
+                // Regularization
+                if (Rm1!=0)
+                {
+                    for (std::size_t m=0; m<size(e2dv,2); ++m)
+                    {
+                        if (e2dv(i,m)!=-1)
+                        {
+                            jg = u.elt2gss(Je(j),0);
+                            k2ndotnG = v.base(ig,m) * v.wgt(ig) * Rm1 * k2 * (v.gssnrm(ig,0)*u.gssnrm(jg,0) +
+                                                                              v.gssnrm(ig,1)*u.gssnrm(jg,1) +
+                                                                              v.gssnrm(ig,2)*u.gssnrm(jg,2) );
+                            u.tridata(Je(j)).projectP1(xg(0),xg(1),xg(2),projectP1);
+                            for (std::size_t n=0; n<size(e2du,2); ++n)
+                            {
+                                if (e2du(j,n)!=-1)
+                                {
+                                    M(e2dv(i,m),e2du(j,n)) += k2ndotnG * projectP1(n) - v.wgt(ig) * Rm1 *
+                                    (- v.nxgrad(ig,m,0) * u.tridata(Je(j)).tau(n,0)
+                                     - v.nxgrad(ig,m,1) * u.tridata(Je(j)).tau(n,1)
+                                     - v.nxgrad(ig,m,2) * u.tridata(Je(j)).tau(n,2)) / u.tridata(Je(j)).hgt(n);
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+    
+    // Return with 4*pi normalization
+    M /= (T)(4*M_PI);
+    return M;
+}
-- 
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