Dumux::GSBiCGSTABBackend Class Reference

Sequential GS-preconditioned BiCGSTAB solver. More...

#include <dumux/linear/seqsolverbackend.hh>

Inheritance diagram for Dumux::GSBiCGSTABBackend:

Description

Sequential GS-preconditioned BiCGSTAB solver.

Solver: The BiCGSTAB (stabilized biconjugate gradients method) solver has faster and smoother convergence than the original BiCG. While, it can be applied to nonsymmetric matrices, the preconditioner SSOR assumes symmetry.
See: Van der Vorst, H. A. (1992). "Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems". SIAM J. Sci. and Stat. Comput. 13 (2): 631–644. doi:10.1137/0913035.

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<int precondBlockLevel = 1, 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. More...
const std::string &	paramGroup () const
	the parameter group for getting parameter from the parameter tree More...
int	verbosity () const
	the verbosity level More...
void	setVerbosity (int v)
	set the verbosity level More...
int	maxIter () const
	the maximum number of linear solver iterations More...
void	setMaxIter (int i)
	set the maximum number of linear solver iterations More...
double	residReduction () const
	the linear solver residual reduction More...
void	setResidualReduction (double r)
	set the linear solver residual reduction More...
double	relaxation () const
	the linear solver relaxation factor More...
void	setRelaxation (double r)
	set the linear solver relaxation factor More...
int	precondIter () const
	the number of preconditioner iterations More...
void	setPrecondIter (int i)
	set the number of preconditioner iterations More...

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.PreconditionerRelaxation precondition relaxation
• LinearSolver.PreconditionerIterations the number of preconditioner iterations

maxIter()

int Dumux::LinearSolver::maxIter ( ) const

inlineinherited

the maximum number of linear solver iterations

name()

std::string Dumux::GSBiCGSTABBackend::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

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

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<int precondBlockLevel = 1, class Matrix , class Vector >

bool Dumux::GSBiCGSTABBackend::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