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test_integrate.cc
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/**
* @file test_integrate.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Peter Spijker <peter.spijker@epfl.ch>
*
* @date creation: Sun Oct 19 2014
* @date last modification: Mon Feb 19 2018
*
* @brief test of the fem class
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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 "test_fe_engine_fixture.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
TYPED_TEST(TestFEMFixture, IntegrateConstant) {
this->fem->initShapeFunctions();
const auto type = this->type;
const auto & position = this->fem->getMesh().getNodes();
Array<Real> const_val(position.size(), 2, "const_val");
Array<Real> val_on_quad(this->nb_quadrature_points_total, 2, "val_on_quad");
Vector<Real> value{1, 2};
for (auto && const_ : make_view(const_val, 2)) {
const_ = value;
}
// interpolate function on quadrature points
this->fem->interpolateOnIntegrationPoints(const_val, val_on_quad, 2, type);
// integrate function on elements
Array<Real> int_val_on_elem(this->nb_element, 2, "int_val_on_elem");
this->fem->integrate(val_on_quad, int_val_on_elem, 2, type);
// get global integration value
Vector<Real> sum{0., 0.};
for (auto && int_ : make_view(int_val_on_elem, 2)) {
sum += int_;
}
auto diff = (value - sum).template norm<L_inf>();
EXPECT_NEAR(0, diff, 1e-14);
}

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