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test_integrate.cc
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/**
* @file test_integrate.cc
*
* @author Aurelia Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
* @date creation: Fri Oct 30 2015
* @date last modification: Fri Oct 30 2015
*
* @brief test the integration of IGFEM elements
*
*
* Copyright (©) 2010-2012, 2014 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 "fe_engine.hh"
#include "integrator_gauss_igfem.hh"
#include "shape_igfem.hh"
///#include "dumper_paraview.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
bool integrate(const ElementType type);
void generateIGFEMMesh(const ElementType type, Mesh & mesh,
const std::string & filename);
int main(int argc, char * argv[]) {
akantu::initialize(argc, argv);
debug::setDebugLevel(dblTest);
bool test_passed = false;
/// integrate test of _igfem_triangle_4
AKANTU_DEBUG_INFO("integrating _igfem_triangle_4...");
test_passed = integrate(_igfem_triangle_4);
if (!test_passed) {
finalize();
return EXIT_FAILURE;
}
/// integrate test of _igfem_triangle_5
AKANTU_DEBUG_INFO("integrating _igfem_triangle_5...");
test_passed = integrate(_igfem_triangle_5);
if (!test_passed) {
finalize();
return EXIT_FAILURE;
}
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
bool integrate(const ElementType type) {
bool correct_result = true;
UInt dim = 2;
std::stringstream mesh_info;
mesh_info << "mesh_info" << type << ".txt";
Mesh my_mesh(dim);
generateIGFEMMesh(type, my_mesh, mesh_info.str());
// DumperParaview dumper_igfem("mesh_igfem");
// dumper_igfem.registerMesh(my_mesh, dim, _not_ghost, _ek_igfem);
// dumper_igfem.dump();
Real eps = 3e-13;
std::cout << "Epsilon : " << eps << std::endl;
FEEngine * fem =
new FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_igfem>(
my_mesh, dim, "my_fem");
fem->initShapeFunctions();
UInt nb_element = my_mesh.getNbElement(type);
UInt nb_quadrature_points = fem->getNbIntegrationPoints(type) * nb_element;
/// impose a constant field on the quadrature points with x = 1 and y = 2
Array<Real> val_on_quad(nb_quadrature_points, dim, "val_on_quad");
Array<Real>::vector_iterator val_it = val_on_quad.begin(dim);
Vector<Real> values(dim);
values(0) = 1.;
values(1) = 2;
for (UInt i = 0; i < val_on_quad.getSize(); ++i, ++val_it)
*val_it = values;
// integrate function on elements
akantu::Array<akantu::Real> int_val_on_elem(nb_element, dim,
"int_val_on_elem");
fem->integrate(val_on_quad, int_val_on_elem, dim, type);
// get global integration value
Real value[2] = {0, 0};
std::cout << "Val on quads : " << val_on_quad << std::endl;
std::cout << "Integral on elements : " << int_val_on_elem << std::endl;
for (UInt i = 0; i < fem->getMesh().getNbElement(type); ++i) {
value[0] += int_val_on_elem.storage()[2 * i];
value[1] += int_val_on_elem.storage()[2 * i + 1];
}
std::cout << "integral on the mesh of 1 is " << value[0] << " and of 2 is "
<< value[1] << std::endl;
delete fem;
if (!(std::abs(value[0] - 1.) < eps && std::abs(value[1] - 2.) < eps)) {
std::cout << "|1 - " << value[0] << "| = " << std::abs(value[0] - 1.)
<< std::endl
<< "|2 - " << value[1] << "| = " << std::abs(value[1] - 2.)
<< std::endl;
correct_result = false;
}
return correct_result;
}
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