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solver_eigen.hh
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/**
* file solver_eigen.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 15 May 2018
*
* @brief Bindings to Eigen's iterative solvers
*
* @section LICENSE
*
* Copyright © 2018 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.
*/
#ifndef SOLVER_EIGEN_H
#define SOLVER_EIGEN_H
#include "solver/solver_base.hh"
#include "cell/cell_base.hh"
#include <Eigen/IterativeLinearSolvers>
#include <unsupported/Eigen/IterativeSolvers>
namespace muSpectre {
template <class SolverType>
class SolverEigen;
class SolverCGEigen;
class SolverGMRESEigen;
class SolverBiCGSTABEigen;
class SolverDGMRESEigen;
class SolverMINRESEigen;
namespace internal {
template <class Solver>
struct Solver_traits {
};
//! traits for the Eigen conjugate gradient solver
template<>
struct Solver_traits<SolverCGEigen> {
//! Eigen Iterative Solver
using Solver =
Eigen::ConjugateGradient<typename Cell::Adaptor,
Eigen::Lower|Eigen::Upper,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen GMRES solver
template<>
struct Solver_traits<SolverGMRESEigen> {
//! Eigen Iterative Solver
using Solver =
Eigen::GMRES<typename Cell::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen BiCGSTAB solver
template<>
struct Solver_traits<SolverBiCGSTABEigen> {
//! Eigen Iterative Solver
using Solver =
Eigen::BiCGSTAB<typename Cell::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen DGMRES solver
template<>
struct Solver_traits<SolverDGMRESEigen> {
//! Eigen Iterative Solver
using Solver =
Eigen::DGMRES<typename Cell::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen MINRES solver
template<>
struct Solver_traits<SolverMINRESEigen> {
//! Eigen Iterative Solver
using Solver =
Eigen::MINRES<typename Cell::Adaptor,
Eigen::Lower|Eigen::Upper,
Eigen::IdentityPreconditioner>;
};
} // internal
/**
* base class for iterative solvers from Eigen
*/
template <class SolverType>
class SolverEigen: public SolverBase
{
public:
using Parent = SolverBase; //!< base class
//! traits obtained from CRTP
using Solver = typename internal::Solver_traits<SolverType>::Solver;
//! Input vectors for solver
using ConstVector_ref = Parent::ConstVector_ref;
//! Output vector for solver
using Vector_map = Parent::Vector_map;
//! storage for output vector
using Vector_t = Parent::Vector_t;
//! Default constructor
SolverEigen() = delete;
//! Constructor with domain resolutions, etc,
SolverEigen(Cell& cell, Real tol, Uint maxiter=0, bool verbose =false);
//! Copy constructor
SolverEigen(const SolverEigen &other) = delete;
//! Move constructor
SolverEigen(SolverEigen &&other) = default;
//! Destructor
virtual ~SolverEigen() = default;
//! Copy assignment operator
SolverEigen& operator=(const SolverEigen &other) = delete;
//! Move assignment operator
SolverEigen& operator=(SolverEigen &&other) = default;
//! Allocate fields used during the solution
void initialise() override final;
//! executes the solver
Vector_map solve(const ConstVector_ref rhs) override final;
protected:
Cell::Adaptor adaptor; //!< cell handle
Solver solver; //!< Eigen's Iterative solver
Vector_t result; //!< storage for result
};
/**
* Binding to Eigen's conjugate gradient solver
*/
class SolverCGEigen:
public SolverEigen<SolverCGEigen> {
public:
using SolverEigen<SolverCGEigen>::SolverEigen;
std::string get_name() const override final {return "CG";}
};
/**
* Binding to Eigen's GMRES solver
*/
class SolverGMRESEigen:
public SolverEigen<SolverGMRESEigen> {
public:
using SolverEigen<SolverGMRESEigen>::SolverEigen;
std::string get_name() const override final {return "GMRES";}
};
/**
* Binding to Eigen's BiCGSTAB solver
*/
class SolverBiCGSTABEigen:
public SolverEigen<SolverBiCGSTABEigen> {
public:
using SolverEigen<SolverBiCGSTABEigen>::SolverEigen;
//! Solver's name
std::string get_name() const override final {return "BiCGSTAB";}
};
/**
* Binding to Eigen's DGMRES solver
*/
class SolverDGMRESEigen:
public SolverEigen<SolverDGMRESEigen> {
public:
using SolverEigen<SolverDGMRESEigen>::SolverEigen;
//! Solver's name
std::string get_name() const override final {return "DGMRES";}
};
/**
* Binding to Eigen's MINRES solver
*/
class SolverMINRESEigen:
public SolverEigen<SolverMINRESEigen> {
public:
using SolverEigen<SolverMINRESEigen>::SolverEigen;
//! Solver's name
std::string get_name() const override final {return "MINRES";}
};
} // muSpectre
#endif /* SOLVER_EIGEN_H */

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