#include <deal.II/lac/solver_gmres.h>

Inheritance diagram for SolverFGMRES< VectorType >:

Classes
struct	AdditionalData

Public Member Functions
	SolverFGMRES (SolverControl &cn, VectorMemory< VectorType > &mem, const AdditionalData &data=AdditionalData())

	SolverFGMRES (SolverControl &cn, const AdditionalData &data=AdditionalData())

template<typename MatrixType , typename PreconditionerType >
void	solve (const MatrixType &A, VectorType &x, const VectorType &b, const PreconditionerType &preconditioner)

Public Member Functions inherited from SolverBase< Vector< double > >
	SolverBase (SolverControl &solver_control, VectorMemory< Vector< double > > &vector_memory)

	SolverBase (SolverControl &solver_control)

boost::signals2::connection	connect (const std::function< SolverControl::State(const unsigned int iteration, const double check_value, const Vector< double > &current_iterate)> &slot)

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
AdditionalData	additional_data

FullMatrix< double >	H

FullMatrix< double >	H1

Additional Inherited Members
Public Types inherited from SolverBase< Vector< double > >
using	vector_type = Vector< double >

Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Protected Attributes inherited from SolverBase< Vector< double > >
GrowingVectorMemory< Vector< double > >	static_vector_memory

VectorMemory< Vector< double > > &	memory

boost::signals2::signal< SolverControl::State(const unsigned int iteration, const double check_value, const Vector< double > &current_iterate), StateCombiner >	iteration_status

Detailed Description

template<class VectorType = Vector<double>>
class SolverFGMRES< VectorType >

Implementation of the Generalized minimal residual method with flexible preconditioning (flexible GMRES or FGMRES).

This flexible version of the GMRES method allows for the use of a different preconditioner in each iteration step. Therefore, it is also more robust with respect to inaccurate evaluation of the preconditioner. An important application is the use of a Krylov space method inside the preconditioner. As opposed to SolverGMRES which allows one to choose between left and right preconditioning, this solver always applies the preconditioner from the right.

FGMRES needs two vectors in each iteration steps yielding a total of 2*SolverFGMRES::AdditionalData::max_basis_size+1 auxiliary vectors. Otherwise, FGMRES requires roughly the same number of operations per iteration compared to GMRES, except one application of the preconditioner less at each restart and at the end of solve().

For more details see [59].

Author: Guido Kanschat, 2003

Definition at line 464 of file solver_gmres.h.