Dumux::GSCGBackend Class Reference

Sequential GS-preconditioned CG solver. More...

#include <dumux/linear/seqsolverbackend.hh>

Inheritance diagram for Dumux::GSCGBackend:

Description

Sequential GS-preconditioned CG solver.

Solver: CG (conjugate gradient) is an iterative method for solving linear systems with a symmetric, positive definite matrix.
See: Helfenstein, R., Koko, J. (2010). "Parallel preconditioned conjugate gradient algorithm on GPU", Journal of Computational and Applied Mathematics, Volume 236, Issue 15, Pages 3584–3590, http://dx.doi.org/10.1016/j.cam.2011.04.025.

Preconditioner: GS Gauss-Seidel method. It can be damped by the relaxation parameter LinearSolver.PreconditionerRelaxation. In each preconditioning step, it is applied as often as given by the parameter LinearSolver.PreconditionerIterations.
See: Golub, G. H., and Van Loan, C. F. (2012). Matrix computations. JHU Press.

Public Types
using	Scalar = double

Public Member Functions
template<class Matrix, class Vector>
bool	solve (const Matrix &A, Vector &x, const Vector &b)
std::string	name () const
	LinearSolver (const std::string &paramGroup="")
	Contruct the solver.
const std::string &	paramGroup () const
	the parameter group for getting parameter from the parameter tree
int	verbosity () const
	the verbosity level
void	setVerbosity (int v)
	set the verbosity level
int	maxIter () const
	the maximum number of linear solver iterations
void	setMaxIter (int i)
	set the maximum number of linear solver iterations
double	residReduction () const
	the linear solver residual reduction
void	setResidualReduction (double r)
	set the linear solver residual reduction
double	relaxation () const
	the linear solver relaxation factor
void	setRelaxation (double r)
	set the linear solver relaxation factor
int	precondIter () const
	the number of preconditioner iterations
void	setPrecondIter (int i)
	set the number of preconditioner iterations
int	precondVerbosity () const
	the preconditioner verbosity
void	setPrecondVerbosity (int verbosityLevel)
	set the preconditioner verbosity

Member Typedef Documentation

Scalar

using Dumux::LinearSolver::Scalar = double

inherited

export Scalar type (might be needed to set parameters from output) TODO: Do we need this?

Member Function Documentation

LinearSolver()

Dumux::LinearSolver::LinearSolver ( const std::string & paramGroup = "" )

inline

Contruct the solver.

Note

Read parameters from the parameter tree

• LinearSolver.Verbosity the verbosity level of the linear solver
• LinearSolver.MaxIterations the maximum iterations of the solver
• LinearSolver.ResidualReduction the residual reduction threshold, i.e. stopping criterion
• LinearSolver.Preconditioner.Relaxation precondition relaxation
• LinearSolver.Preconditioner.Iterations the number of preconditioner iterations
• LinearSolver.Preconditioner.Verbosity the preconditioner verbosity level

maxIter()

int Dumux::LinearSolver::maxIter ( ) const

inlineinherited

the maximum number of linear solver iterations

name()

std::string Dumux::GSCGBackend::name ( ) const

inline

paramGroup()

const std::string & Dumux::LinearSolver::paramGroup ( ) const

inlineinherited

the parameter group for getting parameter from the parameter tree

precondIter()

int Dumux::LinearSolver::precondIter ( ) const

inlineinherited

the number of preconditioner iterations

precondVerbosity()

int Dumux::LinearSolver::precondVerbosity ( ) const

inlineinherited

the preconditioner verbosity

relaxation()

double Dumux::LinearSolver::relaxation ( ) const

inlineinherited

the linear solver relaxation factor

residReduction()

double Dumux::LinearSolver::residReduction ( ) const

inlineinherited

the linear solver residual reduction

setMaxIter()

void Dumux::LinearSolver::setMaxIter ( int i )

inlineinherited

set the maximum number of linear solver iterations

setPrecondIter()

void Dumux::LinearSolver::setPrecondIter ( int i )

inlineinherited

set the number of preconditioner iterations

setPrecondVerbosity()

void Dumux::LinearSolver::setPrecondVerbosity ( int verbosityLevel )

inlineinherited

set the preconditioner verbosity

setRelaxation()

void Dumux::LinearSolver::setRelaxation ( double r )

inlineinherited

set the linear solver relaxation factor

setResidualReduction()

void Dumux::LinearSolver::setResidualReduction ( double r )

inlineinherited

set the linear solver residual reduction

setVerbosity()

void Dumux::LinearSolver::setVerbosity ( int v )

inlineinherited

set the verbosity level

solve()

template<class Matrix, class Vector>

bool Dumux::GSCGBackend::solve ( const Matrix & A, Vector & x, const Vector & b )

inline

verbosity()

int Dumux::LinearSolver::verbosity ( ) const

inlineinherited

the verbosity level

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

• seqsolverbackend.hh