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muSpectre/tests/test_solver_newton_cg.cc
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test_solver_newton_cg.cc
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/**
* file test_solver_newton_cg.cc
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 20 Dec 2017
*
* @brief Tests for the standard Newton-Raphson + Conjugate Gradient solver
*
* @section LICENCE
*
* Copyright (C) 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include "tests.hh"
#include "solver/solvers.hh"
#include "fft/fftw_engine.hh"
#include "fft/projection_finite_strain_fast.hh"
#include "materials/material_hyper_elastic1.hh"
#include "common/iterators.hh"
#include "common/ccoord_operations.hh"
namespace muSpectre {
BOOST_AUTO_TEST_SUITE(newton_cg_tests);
BOOST_AUTO_TEST_CASE(manual_construction_test) {
// constexpr Dim_t dim{twoD};
constexpr Dim_t dim{threeD};
// constexpr Ccoord_t<dim> resolutions{3, 3};
// constexpr Rcoord_t<dim> lengths{2.3, 2.7};
constexpr Ccoord_t<dim> resolutions{5, 5, 5};
constexpr Rcoord_t<dim> lengths{5, 5, 5};
auto fft_ptr{std::make_unique<FFTW_Engine<dim, dim>>(resolutions, lengths)};
auto proj_ptr{std::make_unique<ProjectionFiniteStrainFast<dim, dim>>(std::move(fft_ptr))};
SystemBase<dim, dim> sys(std::move(proj_ptr));
using Mat_t = MaterialHyperElastic1<dim, dim>;
//const Real Young{210e9}, Poisson{.33};
const Real Young{1.0030648180242636}, Poisson{0.29930675909878679};
// const Real lambda{Young*Poisson/((1+Poisson)*(1-2*Poisson))};
// const Real mu{Young/(2*(1+Poisson))};
auto Material_hard = std::make_unique<Mat_t>("hard", 10*Young, Poisson);
auto Material_soft = std::make_unique<Mat_t>("soft", Young, Poisson);
for (auto && tup: akantu::enumerate(sys)) {
auto && pixel = std::get<1>(tup);
if (std::get<0>(tup) == 0) {
Material_hard->add_pixel(pixel);
} else {
Material_soft->add_pixel(pixel);
}
}
sys.add_material(std::move(Material_hard));
sys.add_material(std::move(Material_soft));
sys.initialise();
Grad_t<dim> delF0;
delF0 << 0, 1., 0, 0, 0, 0, 0, 0, 0;
constexpr Real cg_tol{1e-8}, newton_tol{1e-5};
constexpr Uint maxiter{CcoordOps::get_size(resolutions)*ipow(dim, secondOrder)*10};
constexpr bool verbose{false};
GradIncrements<dim> grads; grads.push_back(delF0);
Eigen::ArrayXXd res1{de_geus(sys, grads, cg_tol, newton_tol, maxiter, verbose).eigen()};
Eigen::ArrayXXd res2{newton_cg(sys, grads, cg_tol, newton_tol, maxiter, verbose).eigen()};
BOOST_CHECK_LE(abs(res1-res2).mean(), cg_tol);
}
BOOST_AUTO_TEST_SUITE_END();
} // muSpectre
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