Arcane::Alina::ChebyshevRelaxation< Backend > Class Template Reference

Chebyshev polynomial smoother. More...

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

Inheritance diagram for Arcane::Alina::ChebyshevRelaxation< Backend >:

Collaboration diagram for Arcane::Alina::ChebyshevRelaxation< Backend >:

Classes
struct	params
	Relaxation parameters. More...

Public Types
typedef Backend::value_type	value_type
typedef Backend::vector	vector
typedef math::scalar_of< value_type >::type	scalar_type

Public Member Functions
template<class Matrix>
	ChebyshevRelaxation (const Matrix &A, const params &prm, const typename Backend::params &backend_prm)
	Constructs smoother for the system matrix.
template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>
void	apply_pre (const Matrix &A, const VectorRHS &rhs, VectorX &x, VectorTMP &) const
template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>
void	apply_post (const Matrix &A, const VectorRHS &rhs, VectorX &x, VectorTMP &) const
template<class Matrix, class VectorRHS, class VectorX>
void	apply (const Matrix &A, const VectorRHS &rhs, VectorX &x) const
size_t	bytes () const
	Memory used in bytes.

Public Attributes
struct Arcane::Alina::ChebyshevRelaxation::params	prm

Private Member Functions
template<class Matrix, class VectorB, class VectorX>
void	solve (const Matrix &A, const VectorB &b, VectorX &x) const

Private Attributes
std::shared_ptr< typename Backend::matrix_diagonal >	M
std::shared_ptr< vector >	p
std::shared_ptr< vector >	r
scalar_type	c
scalar_type	d

Detailed Description

template<class Backend>
class Arcane::Alina::ChebyshevRelaxation< Backend >

Chebyshev polynomial smoother.

Parameters

Backend

Backend for temporary structures allocation.

Implements Algorithm 1 from P. Ghysels, P. Kłosiewicz, and W. Vanroose. "Improving the arithmetic intensity of multigrid with the help of polynomial smoothers". Numer. Linear Algebra Appl. 2012;19:253-267. DOI: 10.1002/nla.1808

Definition at line 244 of file Relaxation.h.

Member Typedef Documentation

scalar_type

template<class Backend>

typedef math::scalar_of<value_type>::type Arcane::Alina::ChebyshevRelaxation< Backend >::scalar_type

Definition at line 252 of file Relaxation.h.

value_type

template<class Backend>

typedef Backend::value_type Arcane::Alina::ChebyshevRelaxation< Backend >::value_type

Definition at line 249 of file Relaxation.h.

vector

template<class Backend>

typedef Backend::vector Arcane::Alina::ChebyshevRelaxation< Backend >::vector

Definition at line 250 of file Relaxation.h.

Constructor & Destructor Documentation

ChebyshevRelaxation()

template<class Backend>

template<class Matrix>

Arcane::Alina::ChebyshevRelaxation< Backend >::ChebyshevRelaxation ( const Matrix & A, const params & prm, const typename Backend::params & backend_prm )

inline

Constructs smoother for the system matrix.

Parameters

A	The system matrix.
prm	Relaxation parameters.
backend_prm	Backend parameters.

Definition at line 303 of file Relaxation.h.

Member Function Documentation

apply()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX>

void Arcane::Alina::ChebyshevRelaxation< Backend >::apply ( const Matrix & A, const VectorRHS & rhs, VectorX & x ) const

inline

Definition at line 344 of file Relaxation.h.

apply_post()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>

void Arcane::Alina::ChebyshevRelaxation< Backend >::apply_post ( const Matrix & A, const VectorRHS & rhs, VectorX & x, VectorTMP &  ) const

inline

Definition at line 338 of file Relaxation.h.

apply_pre()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>

void Arcane::Alina::ChebyshevRelaxation< Backend >::apply_pre ( const Matrix & A, const VectorRHS & rhs, VectorX & x, VectorTMP &  ) const

inline

Definition at line 332 of file Relaxation.h.

bytes()

template<class Backend>

size_t Arcane::Alina::ChebyshevRelaxation< Backend >::bytes ( ) const

inlinevirtual

Memory used in bytes.

Implements Arcane::Alina::RelaxationBase.

Definition at line 350 of file Relaxation.h.

solve()

template<class Backend>

template<class Matrix, class VectorB, class VectorX>

void Arcane::Alina::ChebyshevRelaxation< Backend >::solve ( const Matrix & A, const VectorB & b, VectorX & x ) const

inlineprivate

Definition at line 366 of file Relaxation.h.

Member Data Documentation

c

template<class Backend>

scalar_type Arcane::Alina::ChebyshevRelaxation< Backend >::c

private

Definition at line 363 of file Relaxation.h.

d

template<class Backend>

scalar_type Arcane::Alina::ChebyshevRelaxation< Backend >::d

private

Definition at line 363 of file Relaxation.h.

M

template<class Backend>

std::shared_ptr<typename Backend::matrix_diagonal> Arcane::Alina::ChebyshevRelaxation< Backend >::M

private

Definition at line 360 of file Relaxation.h.

p

template<class Backend>

std::shared_ptr<vector> Arcane::Alina::ChebyshevRelaxation< Backend >::p

mutableprivate

Definition at line 361 of file Relaxation.h.

r

template<class Backend>

std::shared_ptr<vector> Arcane::Alina::ChebyshevRelaxation< Backend >::r

private

Definition at line 361 of file Relaxation.h.

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The documentation for this class was generated from the following file:

• Relaxation.h