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test_integrate_quadrangle_4.cc
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Sat, Oct 12, 01:45

test_integrate_quadrangle_4.cc
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/**
* @file test_integrate_quadrangle_4.cc
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @date Mon Jul 19 10:55:49 2010
*
* @brief test of the fem class
*
* @section LICENSE
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "fem.hh"
#include "integrator_gauss.hh"
#include "shape_lagrange.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
int main(int argc, char *argv[]) {
ElementType type = _quadrangle_4;
UInt dim = 2;
MeshIOMSH mesh_io;
Mesh my_mesh(dim);
mesh_io.read("square_structured1.msh", my_mesh);
FEMTemplate<IntegratorGauss,ShapeLagrange> fem(my_mesh, dim, "my_fem");
debug::_debug_level = dblDump;
fem.initShapeFunctions();
std::cout << fem << std::endl;
Vector<Real> const_val(fem.getMesh().getNbNodes(), 2, "const_val");
Vector<Real> val_on_quad(0, 2 , "val_on_quad");
for (UInt i = 0; i < const_val.getSize(); ++i) {
const_val.values[i * 2 + 0] = 1.;
const_val.values[i * 2 + 1] = 2.;
}
//interpolate function on quadrature points
fem.interpolateOnQuadraturePoints(const_val, val_on_quad, 2, type);
//integrate function on elements
akantu::Vector<akantu::Real> int_val_on_elem(0, 2, "int_val_on_elem");
fem.integrate(val_on_quad, int_val_on_elem, 2, type);
// get global integration value
Real value[2] = {0,0};
std::ofstream my_file("out.txt");
my_file << val_on_quad << std::endl << int_val_on_elem << std::endl;
for (UInt i = 0; i < fem.getMesh().getNbElement(type); ++i) {
value[0] += int_val_on_elem.values[2*i];
value[1] += int_val_on_elem.values[2*i+1];
}
my_file << "integral is " << value[0] << " " << value[1] << std::endl;
FEMTemplate<IntegratorGauss,ShapeLagrange> fem_boundary(my_mesh, dim-1, "my_fem_boundary");
fem_boundary.initShapeFunctions();
ElementType bound_type = Mesh::getFacetElementType(type);
UInt nb_boundary_quad = fem_boundary.getNbQuadraturePoints(bound_type);
Vector<Real> val_on_bquad(0, nb_boundary_quad, "val_on_quad");
for (UInt i = 0; i < const_val.getSize(); ++i) {
const_val.values[i * 2 + 0] = 1.;
}
finalize();
return EXIT_SUCCESS;
}

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