Flexible GMRES method. \rst Flexible version of the GMRES method [Saad03]_. \endrst. Plus de détails...

#include </__w/arcaneframework.github.io/arcaneframework.github.io/framework/arccore/src/alina/arccore/alina/FlexibleGMRESSolver.h>

Graphe d'héritage de Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >:

Graphe de collaboration de Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >:

Types publics
typedef Backend	backend_type

typedef Backend::vector	vector

typedef Backend::value_type	value_type

typedef Backend::params	backend_params

typedef math::scalar_of< value_type >::type	scalar_type

typedef math::rhs_of< value_type >::type	rhs_type

typedef math::inner_product_impl< rhs_type >::return_type	coef_type

using	params = FlexibleGMRESSolverParams

Fonctions membres publiques
	FlexibleGMRESSolver (size_t n, const params &prm=params(), const backend_params &bprm=backend_params(), const InnerProduct &inner_product=InnerProduct())
	Preallocates necessary data structures for the system of size `n`.

template<class Matrix, class Precond, class Vec1, class Vec2>
SolverResult	operator() (Matrix const &A, Precond const &P, Vec1 const &rhs, Vec2 &x) const
	Computes the solution for the given system matrix.

template<class Precond, class Vec1, class Vec2>
SolverResult	operator() (Precond const &P, Vec1 const &rhs, Vec2 &x) const
	Computes the solution for the given right-hand side.

size_t	bytes () const
	Memory used in bytes.

Attributs publics
params	prm

Fonctions membres privées
template<class Vec>
scalar_type	norm (const Vec &x) const

Attributs privés
size_t	n

multi_array< coef_type, 2 >	H

std::vector< coef_type >	s

std::vector< coef_type >	cs

std::vector< coef_type >	sn

std::shared_ptr< vector >	r

std::vector< std::shared_ptr< vector > >	v

std::vector< std::shared_ptr< vector > >	z

InnerProduct	inner_product

Amis
std::ostream &	operator<< (std::ostream &os, const FlexibleGMRESSolver &s)

Description détaillée

template<class Backend, class InnerProduct = detail::default_inner_product>
class Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >

Flexible GMRES method. \rst Flexible version of the GMRES method [Saad03]_. \endrst.

Définition à la ligne 99 du fichier FlexibleGMRESSolver.h.

Documentation des définitions de type membres

◆ backend_params

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef Backend::params Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::backend_params

Définition à la ligne 108 du fichier FlexibleGMRESSolver.h.

◆ backend_type

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef Backend Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::backend_type

Définition à la ligne 104 du fichier FlexibleGMRESSolver.h.

◆ coef_type

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef math::inner_product_impl<rhs_type>::return_type Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::coef_type

Définition à la ligne 112 du fichier FlexibleGMRESSolver.h.

◆ params

template<class Backend, class InnerProduct = detail::default_inner_product>

using Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::params = FlexibleGMRESSolverParams

Définition à la ligne 114 du fichier FlexibleGMRESSolver.h.

◆ rhs_type

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef math::rhs_of<value_type>::type Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::rhs_type

Définition à la ligne 111 du fichier FlexibleGMRESSolver.h.

◆ scalar_type

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef math::scalar_of<value_type>::type Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::scalar_type

Définition à la ligne 110 du fichier FlexibleGMRESSolver.h.

◆ value_type

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef Backend::value_type Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::value_type

Définition à la ligne 107 du fichier FlexibleGMRESSolver.h.

◆ vector

template<class Backend, class InnerProduct = detail::default_inner_product>

typedef Backend::vector Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::vector

Définition à la ligne 106 du fichier FlexibleGMRESSolver.h.

Documentation des constructeurs et destructeur

◆ FlexibleGMRESSolver()

template<class Backend, class InnerProduct = detail::default_inner_product>

Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::FlexibleGMRESSolver	(	size_t	n,
		const params &	prm = params(),
		const backend_params &	bprm = backend_params(),
		const InnerProduct &	inner_product = InnerProduct() )

inline

Preallocates necessary data structures for the system of size n.

Définition à la ligne 117 du fichier FlexibleGMRESSolver.h.

Documentation des fonctions membres

◆ bytes()

template<class Backend, class InnerProduct = detail::default_inner_product>

size_t Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::bytes ( ) const

inlinevirtual

Memory used in bytes.

Implémente Arcane::Alina::SolverBase.

Définition à la ligne 255 du fichier FlexibleGMRESSolver.h.

◆ norm()

template<class Backend, class InnerProduct = detail::default_inner_product>

template<class Vec>

scalar_type Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::norm ( const Vec & x ) const

inlineprivate

Définition à la ligne 298 du fichier FlexibleGMRESSolver.h.

◆ operator()() [1/2]

template<class Backend, class InnerProduct = detail::default_inner_product>

template<class Matrix, class Precond, class Vec1, class Vec2>

SolverResult Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::operator()	(	Matrix const &	A,
		Precond const &	P,
		Vec1 const &	rhs,
		Vec2 &	x ) const

inline

Computes the solution for the given system matrix.

Computes the solution for the given system matrix A and the right-hand side rhs. Returns the number of iterations made and the achieved residual as a std::tuple. The solution vector x provides initial approximation in input and holds the computed solution on output.

The system matrix may differ from the matrix used during initialization. This may be used for the solution of non-stationary problems with slowly changing coefficients. There is a strong chance that a preconditioner built for a time step will act as a reasonably good preconditioner for several subsequent time steps [DeSh12]_.

Définition à la ligne 155 du fichier FlexibleGMRESSolver.h.

◆ operator()() [2/2]

template<class Backend, class InnerProduct = detail::default_inner_product>

template<class Precond, class Vec1, class Vec2>

SolverResult Arcane::Alina::FlexibleGMRESSolver< Backend, InnerProduct >::operator()	(	Precond const &	P,
		Vec1 const &	rhs,
		Vec2 &	x ) const

inline

Computes the solution for the given right-hand side.

Computes the solution for the given right-hand side rhs. The system matrix is the same that was used for the setup of the preconditioner P. Returns the number of iterations made and the achieved residual as a std::tuple. The solution vector x provides initial approximation in input and holds the computed solution on output.

Définition à la ligne 250 du fichier FlexibleGMRESSolver.h.