Dune Core Modules (2.6.0)

Base class for all implementations of iterative solvers. More...

#include <dune/istl/solver.hh>

Public Types

typedef X domain_type
 Type of the domain of the operator to be inverted.
 
typedef Y range_type
 Type of the range of the operator to be inverted.
 
typedef X::field_type field_type
 The field type of the operator.
 
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)
 
typedef SimdScalar< real_typescalar_real_type
 scalar type underlying the field_type
 

Public Member Functions

 IterativeSolver (LinearOperator< X, Y > &op, Preconditioner< X, Y > &prec, scalar_real_type reduction, int maxit, int verbose)
 General constructor to initialize an iterative solver. More...
 
 IterativeSolver (LinearOperator< X, Y > &op, ScalarProduct< X > &sp, Preconditioner< X, Y > &prec, scalar_real_type reduction, int maxit, int verbose)
 General constructor to initialize an iterative solver. 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)
 
virtual void apply (X &x, Y &b, InverseOperatorResult &res)=0
 Apply inverse operator,. More...
 
virtual void apply (X &x, Y &b, double reduction, InverseOperatorResult &res)=0
 apply inverse operator, with given convergence criteria. More...
 

Protected Member Functions

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

Detailed Description

template<class X, class Y>
class Dune::IterativeSolver< X, Y >

Base class for all implementations of iterative solvers.

This class provides all storage, which is needed by the usual iterative solvers. In additional it provides all the necessary constructors, which are then only imported in the actual solver implementation.

Constructor & Destructor Documentation

◆ IterativeSolver() [1/2]

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

General constructor to initialize an iterative solver.

Parameters
opThe operator we solve.
precThe preconditioner to apply in each iteration of the loop. Has to inherit from Preconditioner.
reductionThe relative defect reduction to achieve when applying the operator.
maxitThe maximum number of iteration steps allowed when applying the operator.
verboseThe verbosity level.

Verbose levels are:

  • 0 : print nothing
  • 1 : print initial and final defect and statistics
  • 2 : print line for each iteration

References Dune::SolverCategory::category(), DUNE_THROW, and Dune::SolverCategory::sequential.

◆ IterativeSolver() [2/2]

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

General constructor to initialize an iterative solver.

Parameters
opThe operator we solve.
spThe scalar product to use, e. g. SeqScalarproduct.
precThe preconditioner to apply in each iteration of the loop. Has to inherit from Preconditioner.
reductionThe relative defect reduction to achieve when applying the operator.
maxitThe maximum number of iteration steps allowed when applying the operator.
verboseThe verbosity level.

Verbose levels are:

  • 0 : print nothing
  • 1 : print initial and final defect and statistics
  • 2 : print line for each iteration

References Dune::SolverCategory::category(), and DUNE_THROW.

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 
)
inlinevirtual

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 >
virtual void Dune::InverseOperator< X, Y >::apply ( X &  x,
Y &  b,
double  reduction,
InverseOperatorResult res 
)
pure virtualinherited

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

Implemented in Dune::IterativeSolver< X, X >.

◆ apply() [3/3]

template<class X , class Y >
virtual void Dune::InverseOperator< X, Y >::apply ( X &  x,
Y &  b,
InverseOperatorResult res 
)
pure virtualinherited

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

Implemented in Dune::GeneralizedPCGSolver< X >, Dune::MINRESSolver< X >, Dune::BiCGSTABSolver< X >, Dune::CGSolver< X >, Dune::GradientSolver< X >, and Dune::LoopSolver< X >.


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