Dumux::JacBiCGSTABBackend Class Reference

Sequential Jacobi-preconditioned BiCSTAB solver. More...

#include <dumux/linear/seqsolverbackend.hh>

Inheritance diagram for Dumux::JacBiCGSTABBackend:

Description

Sequential Jacobi-preconditioned BiCSTAB 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: Jacobi 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="")
	Construct 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...
Scalar	residReduction () const
	the linear solver residual reduction More...
void	setResidualReduction (Scalar r)
	set the linear solver residual reduction More...
Scalar	relaxation () const
	the linear solver relaxation factor More...
void	setRelaxation (Scalar 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...
int	precondVerbosity () const
	the preconditioner verbosity More...
void	setPrecondVerbosity (int verbosityLevel)
	set the preconditioner verbosity 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

Construct 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::JacBiCGSTABBackend::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()

Scalar Dumux::LinearSolver::relaxation ( ) const

inlineinherited

the linear solver relaxation factor

residReduction()

Scalar 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 ( Scalar  r )

inlineinherited

set the linear solver relaxation factor

setResidualReduction()

void Dumux::LinearSolver::setResidualReduction ( Scalar  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::JacBiCGSTABBackend::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