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test_interpolate.cc
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Sat, May 11, 18:02

test_interpolate.cc
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/**
* @file test_interpolate.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
*
* @brief test the interpolation function of the igfem elements
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "fe_engine.hh"
#include "integrator_gauss_igfem.hh"
#include "shape_igfem.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
void interpolate(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);
/// interpolate test of _igfem_triangle_4
AKANTU_DEBUG_INFO("integrating _igfem_triangle_4...");
interpolate(_igfem_triangle_4);
/// interpolate test of _igfem_triangle_5
AKANTU_DEBUG_INFO("integrating _igfem_triangle_5...");
interpolate(_igfem_triangle_5);
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
void interpolate(const ElementType type) {
Int dim = 2;
std::stringstream mesh_info;
mesh_info << "mesh_info" << type << ".txt";
Mesh my_mesh(dim);
generateIGFEMMesh(type, my_mesh, mesh_info.str());
Real eps = 3e-13;
std::cout << "Epsilon : " << eps << std::endl;
FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_igfem> * fem =
new FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_igfem>(
my_mesh, dim, "my_fem");
fem->initShapeFunctions();
Array<Real> const_val(fem->getMesh().getNbNodes(), 2, "const_val");
UInt nb_element = my_mesh.getNbElement(type);
UInt nb_quadrature_points = fem->getNbIntegrationPoints(type) * nb_element;
Array<Real> val_on_quad(nb_quadrature_points, 2, "val_on_quad");
/// the number of standard nodes in the mesh, i.e. not interface nodes
UInt nb_standard_nodes = 9;
/// impose constant value at standard nodes
for (Int i = 0; i < nb_standard_nodes; ++i) {
const_val.data()[i * 2 + 0] = 1.;
const_val.data()[i * 2 + 1] = 2.;
}
/// for field to be constant the enriched values need to be zero,
/// because enrichment is not needed since there is no kink in the
/// applied field
for (Int i = nb_standard_nodes; i < const_val.getSize(); ++i) {
const_val.data()[i * 2 + 0] = 0.;
const_val.data()[i * 2 + 1] = 0.;
}
fem->interpolateOnIntegrationPoints(const_val, val_on_quad, 2, type);
std::cout << "Interpolation of array : " << const_val << std::endl;
std::cout << "Gives on quads : " << val_on_quad << std::endl;
/// interpolate coordinates
Array<Real> coord_on_quad(nb_quadrature_points, my_mesh.getSpatialDimension(),
"coord_on_quad");
/// create an array with the nodal coordinates that need to be
/// interpolated. The nodal coordinates of the enriched nodes need
/// to be set to zero, because they represent the enrichment of the
/// position field, and the enrichments for this field are all zero!
/// There is no gap in the mesh!
Array<Real> igfem_nodes(my_mesh.getNbNodes(), dim);
const ShapeLagrange<_ek_igfem> & shapes = fem->getShapeFunctions();
shapes.extractValuesAtStandardNodes(my_mesh.getNodes(), igfem_nodes,
_not_ghost);
fem->interpolateOnIntegrationPoints(igfem_nodes, coord_on_quad,
my_mesh.getSpatialDimension(), type);
std::cout << "Interpolations of node coordinates : " << my_mesh.getNodes()
<< std::endl;
std::cout << "Gives : " << coord_on_quad << std::endl;
delete fem;
}

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