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545 lines
20 KiB
C++
545 lines
20 KiB
C++
/*
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Copyright 2012 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#if HAVE_CONFIG_H
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#include "config.h"
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#endif
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#include <opm/core/linalg/LinearSolverIstl.hpp>
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#include <opm/core/linalg/ParallelIstlInformation.hpp>
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#include <opm/common/ErrorMacros.hpp>
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// Silence compatibility warning from DUNE headers since we don't use
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// the deprecated member anyway (in this compilation unit)
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#define DUNE_COMMON_FIELDVECTOR_SIZE_IS_METHOD 1
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#include <opm/common/utility/platform_dependent/disable_warnings.h>
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// TODO: clean up includes.
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#include <dune/common/deprecated.hh>
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#include <dune/common/version.hh>
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#include <dune/istl/bvector.hh>
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#include <dune/istl/bcrsmatrix.hh>
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#include <dune/istl/operators.hh>
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#include <dune/istl/io.hh>
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#include <dune/istl/owneroverlapcopy.hh>
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#include <dune/istl/preconditioners.hh>
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#include <dune/istl/schwarz.hh>
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#include <dune/istl/solvers.hh>
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#include <dune/istl/paamg/amg.hh>
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#include <dune/istl/paamg/kamg.hh>
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#include <dune/istl/paamg/pinfo.hh>
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#if DUNE_VERSION_NEWER(DUNE_ISTL, 2, 3)
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#include <dune/istl/paamg/fastamg.hh>
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#endif
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#include <opm/common/utility/platform_dependent/reenable_warnings.h>
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#include <stdexcept>
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#include <iostream>
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#include <type_traits>
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namespace Opm
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{
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namespace {
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typedef Dune::FieldVector<double, 1 > VectorBlockType;
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typedef Dune::FieldMatrix<double, 1, 1> MatrixBlockType;
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typedef Dune::BCRSMatrix <MatrixBlockType> Mat;
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typedef Dune::BlockVector<VectorBlockType> Vector;
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typedef Dune::MatrixAdapter<Mat,Vector,Vector> Operator;
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveCG_ILU0(O& A, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity);
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveCG_AMG(O& A, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity,
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double prolongateFactor, int smoothsteps);
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#if defined(HAS_DUNE_FAST_AMG) || DUNE_VERSION_NEWER(DUNE_ISTL, 2, 3)
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveKAMG(O& A, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity,
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double prolongateFactor, int smoothsteps);
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveFastAMG(O& A, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity,
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double prolongateFactor);
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#endif
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveBiCGStab_ILU0(O& A, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity);
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} // anonymous namespace
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LinearSolverIstl::LinearSolverIstl()
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: linsolver_residual_tolerance_(1e-8),
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linsolver_verbosity_(0),
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linsolver_type_(CG_AMG),
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linsolver_save_system_(false),
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linsolver_max_iterations_(0),
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linsolver_smooth_steps_(2),
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linsolver_prolongate_factor_(1.6)
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{
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}
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LinearSolverIstl::LinearSolverIstl(const parameter::ParameterGroup& param)
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: linsolver_residual_tolerance_(1e-8),
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linsolver_verbosity_(0),
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linsolver_type_(CG_AMG),
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linsolver_save_system_(false),
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linsolver_max_iterations_(0),
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linsolver_smooth_steps_(2),
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linsolver_prolongate_factor_(1.6)
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{
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linsolver_residual_tolerance_ = param.getDefault("linsolver_residual_tolerance", linsolver_residual_tolerance_);
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linsolver_verbosity_ = param.getDefault("linsolver_verbosity", linsolver_verbosity_);
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linsolver_type_ = LinsolverType(param.getDefault("linsolver_type", int(linsolver_type_)));
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linsolver_save_system_ = param.getDefault("linsolver_save_system", linsolver_save_system_);
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if (linsolver_save_system_) {
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linsolver_save_filename_ = param.getDefault("linsolver_save_filename", std::string("linsys"));
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}
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linsolver_max_iterations_ = param.getDefault("linsolver_max_iterations", linsolver_max_iterations_);
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linsolver_smooth_steps_ = param.getDefault("linsolver_smooth_steps", linsolver_smooth_steps_);
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linsolver_prolongate_factor_ = param.getDefault("linsolver_prolongate_factor", linsolver_prolongate_factor_);
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}
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LinearSolverIstl::~LinearSolverIstl()
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{}
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LinearSolverInterface::LinearSolverReport
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LinearSolverIstl::solve(const int size,
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const int nonzeros,
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const int* ia,
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const int* ja,
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const double* sa,
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const double* rhs,
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double* solution,
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const boost::any& comm) const
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{
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// Build Istl structures from input.
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// System matrix
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Mat A(size, size, nonzeros, Mat::row_wise);
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for (Mat::CreateIterator row = A.createbegin(); row != A.createend(); ++row) {
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int ri = row.index();
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for (int i = ia[ri]; i < ia[ri + 1]; ++i) {
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row.insert(ja[i]);
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}
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}
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for (int ri = 0; ri < size; ++ri) {
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for (int i = ia[ri]; i < ia[ri + 1]; ++i) {
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A[ri][ja[i]] = sa[i];
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}
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}
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int maxit = linsolver_max_iterations_;
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if (maxit == 0) {
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maxit = 5000;
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}
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#if HAVE_MPI
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if(comm.type()==typeid(ParallelISTLInformation))
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{
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typedef Dune::OwnerOverlapCopyCommunication<int,int> Comm;
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const ParallelISTLInformation& info = boost::any_cast<const ParallelISTLInformation&>(comm);
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Comm istlComm(info.communicator());
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info.copyValuesTo(istlComm.indexSet(), istlComm.remoteIndices());
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Dune::OverlappingSchwarzOperator<Mat,Vector,Vector, Comm>
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opA(A, istlComm);
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Dune::OverlappingSchwarzScalarProduct<Vector,Comm> sp(istlComm);
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return solveSystem(opA, solution, rhs, sp, istlComm, maxit);
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}
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else
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#endif
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{
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(void) comm; // Avoid warning for unused argument if no MPI.
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Dune::SeqScalarProduct<Vector> sp;
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Dune::Amg::SequentialInformation seq_comm;
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Operator opA(A);
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return solveSystem(opA, solution, rhs, sp, seq_comm, maxit);
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}
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}
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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LinearSolverIstl::solveSystem (O& opA, double* solution, const double* rhs,
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S& sp, const C& comm, int maxit) const
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{
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// System RHS
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Vector b(opA.getmat().N());
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std::copy(rhs, rhs+b.size(), b.begin());
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// Make rhs consistent in the parallel case
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comm.copyOwnerToAll(b,b);
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// System solution
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Vector x(opA.getmat().M());
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x = 0.0;
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if (linsolver_save_system_)
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{
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// Save system to files.
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writeMatrixToMatlab(opA.getmat(), linsolver_save_filename_ + "-mat");
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std::string rhsfile(linsolver_save_filename_ + "-rhs");
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std::ofstream rhsf(rhsfile.c_str());
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rhsf.precision(15);
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rhsf.setf(std::ios::scientific | std::ios::showpos);
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std::copy(b.begin(), b.end(),
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std::ostream_iterator<VectorBlockType>(rhsf, "\n"));
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}
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LinearSolverReport res;
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switch (linsolver_type_) {
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case CG_ILU0:
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res = solveCG_ILU0(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_);
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break;
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case CG_AMG:
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res = solveCG_AMG(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_,
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linsolver_prolongate_factor_, linsolver_smooth_steps_);
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break;
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case KAMG:
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#if defined(HAS_DUNE_FAST_AMG) || DUNE_VERSION_NEWER(DUNE_ISTL, 2, 3)
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res = solveKAMG(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_,
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linsolver_prolongate_factor_, linsolver_smooth_steps_);
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#else
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throw std::runtime_error("KAMG not supported with this version of DUNE");
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#endif
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break;
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case FastAMG:
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#if defined(HAS_DUNE_FAST_AMG) || DUNE_VERSION_NEWER(DUNE_ISTL, 2, 3)
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#if HAVE_MPI
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if(std::is_same<C,Dune::OwnerOverlapCopyCommunication<int,int> >::value)
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{
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OPM_THROW(std::runtime_error, "Trying to use sequential FastAMG solver for a parallel problem!");
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}
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#endif // HAVE_MPI
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res = solveFastAMG(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_,
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linsolver_prolongate_factor_);
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#else
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if(linsolver_verbosity_)
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std::cerr<<"Fast AMG is not available; falling back to CG preconditioned with the normal one"<<std::endl;
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res = solveCG_AMG(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_,
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linsolver_prolongate_factor_, linsolver_smooth_steps_);
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#endif
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break;
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case BiCGStab_ILU0:
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res = solveBiCGStab_ILU0(opA, x, b, sp, comm, linsolver_residual_tolerance_, maxit, linsolver_verbosity_);
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break;
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default:
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std::cerr << "Unknown linsolver_type: " << int(linsolver_type_) << '\n';
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throw std::runtime_error("Unknown linsolver_type");
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}
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std::copy(x.begin(), x.end(), solution);
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return res;
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}
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void LinearSolverIstl::setTolerance(const double tol)
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{
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linsolver_residual_tolerance_ = tol;
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}
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double LinearSolverIstl::getTolerance() const
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{
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return linsolver_residual_tolerance_;
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}
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namespace
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{
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template<class P, class O, class C>
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struct SmootherChooser
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{
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typedef P Type;
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};
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#if HAVE_MPI
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template<class P, class O>
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struct SmootherChooser<P, O, Dune::OwnerOverlapCopyCommunication<int,int> >
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{
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typedef Dune::OwnerOverlapCopyCommunication<int,int> Comm;
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typedef Dune::BlockPreconditioner<typename O::domain_type, typename O::range_type,
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Comm, P>
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Type;
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};
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#endif
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template<class P, class O, class C>
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struct PreconditionerTraits
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{
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typedef typename SmootherChooser<P,O,C>::Type SmootherType;
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typedef std::shared_ptr<SmootherType> PointerType;
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};
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template<class P, class O, class C>
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typename PreconditionerTraits<P,O,C>::PointerType
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makePreconditioner(O& opA, double relax, const C& comm, int iterations=1)
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{
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typedef typename SmootherChooser<P,O,C>::Type SmootherType;
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typedef typename PreconditionerTraits<P,O,C>::PointerType PointerType;
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typename Dune::Amg::SmootherTraits<SmootherType>::Arguments args;
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typename Dune::Amg::ConstructionTraits<SmootherType>::Arguments cargs;
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cargs.setMatrix(opA.getmat());
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args.iterations=iterations;
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args.relaxationFactor=relax;
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cargs.setArgs(args);
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cargs.setComm(comm);
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return PointerType(Dune::Amg::ConstructionTraits<SmootherType>::construct(cargs));
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}
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveCG_ILU0(O& opA, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity)
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{
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// Construct preconditioner.
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typedef Dune::SeqILU0<Mat,Vector,Vector> Preconditioner;
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auto precond = makePreconditioner<Preconditioner>(opA, 1.0, comm);
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// Construct linear solver.
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Dune::CGSolver<Vector> linsolve(opA, sp, *precond, tolerance, maxit, verbosity);
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// Solve system.
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Dune::InverseOperatorResult result;
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linsolve.apply(x, b, result);
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// Output results.
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LinearSolverInterface::LinearSolverReport res;
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res.converged = result.converged;
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res.iterations = result.iterations;
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res.residual_reduction = result.reduction;
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return res;
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}
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#define FIRST_DIAGONAL 1
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#define SYMMETRIC 1
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#define SMOOTHER_ILU 0
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#define ANISOTROPIC_3D 0
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template<typename C>
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void setUpCriterion(C& criterion, double linsolver_prolongate_factor,
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int verbosity, std::size_t linsolver_smooth_steps)
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{
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criterion.setDebugLevel(verbosity);
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#if ANISOTROPIC_3D
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criterion.setDefaultValuesAnisotropic(3, 2);
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#endif
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criterion.setProlongationDampingFactor(linsolver_prolongate_factor);
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criterion.setNoPreSmoothSteps(linsolver_smooth_steps);
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criterion.setNoPostSmoothSteps(linsolver_smooth_steps);
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criterion.setGamma(1); // V-cycle; this is the default
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}
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveCG_AMG(O& opA, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity,
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double linsolver_prolongate_factor, int linsolver_smooth_steps)
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{
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// Solve with AMG solver.
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#if FIRST_DIAGONAL
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typedef Dune::Amg::FirstDiagonal CouplingMetric;
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#else
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typedef Dune::Amg::RowSum CouplingMetric;
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#endif
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#if SYMMETRIC
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typedef Dune::Amg::SymmetricCriterion<Mat,CouplingMetric> CriterionBase;
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#else
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typedef Dune::Amg::UnSymmetricCriterion<Mat,CouplingMetric> CriterionBase;
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#endif
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#if SMOOTHER_ILU
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typedef Dune::SeqILU0<Mat,Vector,Vector> SeqSmoother;
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#else
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typedef Dune::SeqSOR<Mat,Vector,Vector> SeqSmoother;
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#endif
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typedef typename SmootherChooser<SeqSmoother, O, C>::Type Smoother;
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typedef Dune::Amg::CoarsenCriterion<CriterionBase> Criterion;
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typedef Dune::Amg::AMG<O,Vector,Smoother,C> Precond;
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// Construct preconditioner.
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Criterion criterion;
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typename Precond::SmootherArgs smootherArgs;
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setUpCriterion(criterion, linsolver_prolongate_factor, verbosity,
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linsolver_smooth_steps);
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Precond precond(opA, criterion, smootherArgs, comm);
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// Construct linear solver.
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Dune::CGSolver<Vector> linsolve(opA, sp, precond, tolerance, maxit, verbosity);
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// Solve system.
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Dune::InverseOperatorResult result;
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linsolve.apply(x, b, result);
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// Output results.
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LinearSolverInterface::LinearSolverReport res;
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res.converged = result.converged;
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res.iterations = result.iterations;
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res.residual_reduction = result.reduction;
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return res;
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}
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#if defined(HAS_DUNE_FAST_AMG) || DUNE_VERSION_NEWER(DUNE_ISTL, 2, 3)
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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solveKAMG(O& opA, Vector& x, Vector& b, S& /* sp */, const C& /* comm */, double tolerance, int maxit, int verbosity,
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double linsolver_prolongate_factor, int linsolver_smooth_steps)
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{
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// Solve with AMG solver.
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Dune::MatrixAdapter<typename O::matrix_type,Vector,Vector> sOpA(opA.getmat());
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#if FIRST_DIAGONAL
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typedef Dune::Amg::FirstDiagonal CouplingMetric;
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#else
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typedef Dune::Amg::RowSum CouplingMetric;
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#endif
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#if SYMMETRIC
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typedef Dune::Amg::SymmetricCriterion<Mat,CouplingMetric> CriterionBase;
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#else
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typedef Dune::Amg::UnSymmetricCriterion<Mat,CouplingMetric> CriterionBase;
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#endif
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#if SMOOTHER_ILU
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typedef Dune::SeqILU0<Mat,Vector,Vector> Smoother;
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#else
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typedef Dune::SeqSOR<Mat,Vector,Vector> Smoother;
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#endif
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typedef Dune::Amg::CoarsenCriterion<CriterionBase> Criterion;
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typedef Dune::Amg::KAMG<Operator,Vector,Smoother,Dune::Amg::SequentialInformation> Precond;
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// Construct preconditioner.
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Precond::SmootherArgs smootherArgs;
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Criterion criterion;
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setUpCriterion(criterion, linsolver_prolongate_factor, verbosity,
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linsolver_smooth_steps);
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Precond precond(sOpA, criterion, smootherArgs);
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// Construct linear solver.
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Dune::GeneralizedPCGSolver<Vector> linsolve(sOpA, precond, tolerance, maxit, verbosity);
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// Solve system.
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Dune::InverseOperatorResult result;
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linsolve.apply(x, b, result);
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|
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// Output results.
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LinearSolverInterface::LinearSolverReport res;
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res.converged = result.converged;
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res.iterations = result.iterations;
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res.residual_reduction = result.reduction;
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return res;
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}
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|
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template<class O, class S, class C>
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LinearSolverInterface::LinearSolverReport
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|
solveFastAMG(O& opA, Vector& x, Vector& b, S& /* sp */, const C& /* comm */, double tolerance, int maxit, int verbosity,
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|
double linsolver_prolongate_factor)
|
|
{
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|
// Solve with AMG solver.
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|
typedef Dune::MatrixAdapter<typename O::matrix_type, Vector, Vector> Operator;
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Operator sOpA(opA.getmat());
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|
|
|
#if FIRST_DIAGONAL
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typedef Dune::Amg::FirstDiagonal CouplingMetric;
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|
#else
|
|
typedef Dune::Amg::RowSum CouplingMetric;
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|
#endif
|
|
|
|
#if SYMMETRIC
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|
typedef Dune::Amg::AggregationCriterion<Dune::Amg::SymmetricMatrixDependency<Mat,CouplingMetric> > CriterionBase;
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|
#else
|
|
typedef Dune::Amg::AggregationCriterion<Dune::Amg::SymmetricMatrixDependency<Mat,CouplingMetric> > CriterionBase;
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|
#endif
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|
|
|
typedef Dune::Amg::CoarsenCriterion<CriterionBase> Criterion;
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|
typedef Dune::Amg::FastAMG<Operator,Vector> Precond;
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|
|
|
// Construct preconditioner.
|
|
Criterion criterion;
|
|
const int smooth_steps = 1;
|
|
setUpCriterion(criterion, linsolver_prolongate_factor, verbosity, smooth_steps);
|
|
Dune::Amg::Parameters parms;
|
|
parms.setDebugLevel(verbosity);
|
|
parms.setNoPreSmoothSteps(smooth_steps);
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|
parms.setNoPostSmoothSteps(smooth_steps);
|
|
parms.setProlongationDampingFactor(linsolver_prolongate_factor);
|
|
Precond precond(sOpA, criterion, parms);
|
|
|
|
// Construct linear solver.
|
|
Dune::GeneralizedPCGSolver<Vector> linsolve(sOpA, precond, tolerance, maxit, verbosity);
|
|
|
|
// Solve system.
|
|
Dune::InverseOperatorResult result;
|
|
linsolve.apply(x, b, result);
|
|
|
|
// Output results.
|
|
LinearSolverInterface::LinearSolverReport res;
|
|
res.converged = result.converged;
|
|
res.iterations = result.iterations;
|
|
res.residual_reduction = result.reduction;
|
|
return res;
|
|
}
|
|
#endif
|
|
|
|
template<class O, class S, class C>
|
|
LinearSolverInterface::LinearSolverReport
|
|
solveBiCGStab_ILU0(O& opA, Vector& x, Vector& b, S& sp, const C& comm, double tolerance, int maxit, int verbosity)
|
|
{
|
|
|
|
// Construct preconditioner.
|
|
typedef Dune::SeqILU0<Mat,Vector,Vector> Preconditioner;
|
|
auto precond = makePreconditioner<Preconditioner>(opA, 1.0, comm);
|
|
|
|
// Construct linear solver.
|
|
Dune::BiCGSTABSolver<Vector> linsolve(opA, sp, *precond, tolerance, maxit, verbosity);
|
|
|
|
// Solve system.
|
|
Dune::InverseOperatorResult result;
|
|
linsolve.apply(x, b, result);
|
|
|
|
// Output results.
|
|
LinearSolverInterface::LinearSolverReport res;
|
|
res.converged = result.converged;
|
|
res.iterations = result.iterations;
|
|
res.residual_reduction = result.reduction;
|
|
return res;
|
|
}
|
|
|
|
|
|
|
|
|
|
} // anonymous namespace
|
|
|
|
|
|
} // namespace Opm
|