dune-istl  2.6-git
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Dune::RestartedGMResSolver< X, Y, F > Class Template Reference

implements the Generalized Minimal Residual (GMRes) method More...

#include <dune/istl/solvers.hh>

Inheritance diagram for Dune::RestartedGMResSolver< X, Y, F >:
Inheritance graph

Public Types

typedef X domain_type
 Type of the domain of the operator to be inverted. More...
 
typedef Y range_type
 Type of the range of the operator to be inverted. More...
 
typedef X::field_type field_type
 The field type of the operator. More...
 
typedef FieldTraits< field_type >::real_type real_type
 The real type of the field type (is the same if using real numbers, but differs for std::complex) More...
 
typedef SimdScalar< real_typescalar_real_type
 scalar type underlying the field_type More...
 

Public Member Functions

 RestartedGMResSolver (LinearOperator< X, Y > &op, Preconditioner< X, Y > &prec, scalar_real_type reduction, int restart, int maxit, int verbose)
 Set up RestartedGMResSolver solver. More...
 
 RestartedGMResSolver (LinearOperator< X, Y > &op, ScalarProduct< X > &sp, Preconditioner< X, Y > &prec, scalar_real_type reduction, int restart, int maxit, int verbose)
 Set up RestartedGMResSolver solver. More...
 
virtual void apply (X &x, Y &b, InverseOperatorResult &res)
 Apply inverse operator. More...
 
virtual void apply (X &x, Y &b, double reduction, InverseOperatorResult &res)
 Apply inverse operator. More...
 
virtual void apply (X &x, X &b, double reduction, InverseOperatorResult &res)
 Apply inverse operator with given reduction factor. More...
 
virtual SolverCategory::Category category () const
 Category of the solver (see SolverCategory::Category) More...
 

Protected Types

enum  { iterationSpacing = 5, normSpacing = 16 }
 

Protected Member Functions

void printHeader (std::ostream &s) const
 helper function for printing header of solver output More...
 
template<typename CountType , typename DataType >
void printOutput (std::ostream &s, const CountType &iter, const DataType &norm, const DataType &norm_old) const
 helper function for printing solver output More...
 
template<typename CountType , typename DataType >
void printOutput (std::ostream &s, const CountType &iter, const DataType &norm) const
 helper function for printing solver output More...
 

Protected Attributes

std::shared_ptr< LinearOperator< X, Y > > _op
 
std::shared_ptr< Preconditioner< X, Y > > _prec
 
std::shared_ptr< ScalarProduct< X > > _sp
 
scalar_real_type _reduction
 
int _maxit
 
int _verbose
 
SolverCategory::Category _category
 

Detailed Description

template<class X, class Y = X, class F = Y>
class Dune::RestartedGMResSolver< X, Y, F >

implements the Generalized Minimal Residual (GMRes) method

GMRes solves the unsymmetric linear system Ax = b using the Generalized Minimal Residual method as described the SIAM Templates book (http://www.netlib.org/templates/templates.pdf).

Template Parameters
Xtrial vector, vector type of the solution
Ytest vector, vector type of the RHS
Fvector type for orthonormal basis of Krylov space

Member Typedef Documentation

◆ domain_type

template<class X, class Y>
typedef X Dune::InverseOperator< X, Y >::domain_type
inherited

Type of the domain of the operator to be inverted.

◆ field_type

template<class X, class Y>
typedef X::field_type Dune::InverseOperator< X, Y >::field_type
inherited

The field type of the operator.

◆ range_type

template<class X, class Y>
typedef Y Dune::InverseOperator< X, Y >::range_type
inherited

Type of the range of the operator to be inverted.

◆ real_type

template<class X, class Y>
typedef FieldTraits<field_type>::real_type Dune::InverseOperator< X, Y >::real_type
inherited

The real type of the field type (is the same if using real numbers, but differs for std::complex)

◆ scalar_real_type

template<class X, class Y>
typedef SimdScalar<real_type> Dune::InverseOperator< X, Y >::scalar_real_type
inherited

scalar type underlying the field_type

Member Enumeration Documentation

◆ anonymous enum

template<class X, class Y>
anonymous enum
protectedinherited
Enumerator
iterationSpacing 
normSpacing 

Constructor & Destructor Documentation

◆ RestartedGMResSolver() [1/2]

template<class X , class Y = X, class F = Y>
Dune::RestartedGMResSolver< X, Y, F >::RestartedGMResSolver ( LinearOperator< X, Y > &  op,
Preconditioner< X, Y > &  prec,
scalar_real_type  reduction,
int  restart,
int  maxit,
int  verbose 
)
inline

Set up RestartedGMResSolver solver.

Parameters
restartnumber of GMRes cycles before restart

◆ RestartedGMResSolver() [2/2]

template<class X , class Y = X, class F = Y>
Dune::RestartedGMResSolver< X, Y, F >::RestartedGMResSolver ( LinearOperator< X, Y > &  op,
ScalarProduct< X > &  sp,
Preconditioner< X, Y > &  prec,
scalar_real_type  reduction,
int  restart,
int  maxit,
int  verbose 
)
inline

Set up RestartedGMResSolver solver.

Parameters
restartnumber of GMRes cycles before restart

Member Function Documentation

◆ apply() [1/3]

template<class X, class Y>
virtual void Dune::IterativeSolver< X, Y >::apply ( X &  x,
X &  b,
double  reduction,
InverseOperatorResult res 
)
inlinevirtualinherited

Apply inverse operator with given reduction factor.

apply inverse operator, with given convergence criteria.

Warning
Right hand side b may be overwritten!
Parameters
xThe left hand side to store the result in.
bThe right hand side
reductionThe minimum defect reduction to achieve.
resObject to store the statistics about applying the operator.
Exceptions
SolverAbortWhen the solver detects a problem and cannot continue

◆ apply() [2/3]

template<class X , class Y = X, class F = Y>
virtual void Dune::RestartedGMResSolver< X, Y, F >::apply ( X &  x,
Y &  b,
InverseOperatorResult res 
)
inlinevirtual

Apply inverse operator.

Apply inverse operator,.

Warning
Note: right hand side b may be overwritten!
Parameters
xThe left hand side to store the result in.
bThe right hand side
resObject to store the statistics about applying the operator.
Exceptions
SolverAbortWhen the solver detects a problem and cannot continue
Note
Currently, the RestartedGMResSolver aborts when it detects a breakdown.

Implements Dune::InverseOperator< X, Y >.

◆ apply() [3/3]

template<class X , class Y = X, class F = Y>
virtual void Dune::RestartedGMResSolver< X, Y, F >::apply ( X &  x,
Y &  b,
double  reduction,
InverseOperatorResult res 
)
inlinevirtual

Apply inverse operator.

apply inverse operator, with given convergence criteria.

Warning
Right hand side b may be overwritten!
Parameters
xThe left hand side to store the result in.
bThe right hand side
reductionThe minimum defect reduction to achieve.
resObject to store the statistics about applying the operator.
Exceptions
SolverAbortWhen the solver detects a problem and cannot continue
Note
Currently, the RestartedGMResSolver aborts when it detects a breakdown.

Implements Dune::InverseOperator< X, Y >.

◆ category()

template<class X, class Y>
virtual SolverCategory::Category Dune::IterativeSolver< X, Y >::category ( ) const
inlinevirtualinherited

Category of the solver (see SolverCategory::Category)

Implements Dune::InverseOperator< X, Y >.

◆ printHeader()

template<class X, class Y>
void Dune::InverseOperator< X, Y >::printHeader ( std::ostream &  s) const
inlineprotectedinherited

helper function for printing header of solver output

◆ printOutput() [1/2]

template<class X, class Y>
template<typename CountType , typename DataType >
void Dune::InverseOperator< X, Y >::printOutput ( std::ostream &  s,
const CountType &  iter,
const DataType &  norm,
const DataType &  norm_old 
) const
inlineprotectedinherited

helper function for printing solver output

◆ printOutput() [2/2]

template<class X, class Y>
template<typename CountType , typename DataType >
void Dune::InverseOperator< X, Y >::printOutput ( std::ostream &  s,
const CountType &  iter,
const DataType &  norm 
) const
inlineprotectedinherited

helper function for printing solver output

Member Data Documentation

◆ _category

template<class X, class Y>
SolverCategory::Category Dune::IterativeSolver< X, Y >::_category
protectedinherited

◆ _maxit

template<class X, class Y>
int Dune::IterativeSolver< X, Y >::_maxit
protectedinherited

◆ _op

template<class X, class Y>
std::shared_ptr<LinearOperator<X,Y> > Dune::IterativeSolver< X, Y >::_op
protectedinherited

◆ _prec

template<class X, class Y>
std::shared_ptr<Preconditioner<X,Y> > Dune::IterativeSolver< X, Y >::_prec
protectedinherited

◆ _reduction

template<class X, class Y>
scalar_real_type Dune::IterativeSolver< X, Y >::_reduction
protectedinherited

◆ _sp

template<class X, class Y>
std::shared_ptr<ScalarProduct<X> > Dune::IterativeSolver< X, Y >::_sp
protectedinherited

◆ _verbose

template<class X, class Y>
int Dune::IterativeSolver< X, Y >::_verbose
protectedinherited

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