Reference documentation for deal.II version Git 3ecc854 2017-02-27 14:34:24 -0500
Classes | Public Member Functions | Private Attributes | List of all members
SolverFGMRES< VectorType > Class Template Reference

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

Inheritance diagram for SolverFGMRES< VectorType >:
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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 &precondition)
 
- Public Member Functions inherited from Solver< VectorType >
 Solver (SolverControl &solver_control, VectorMemory< VectorType > &vector_memory)
 
 Solver (SolverControl &solver_control)
 
boost::signals2::connection connect (const std_cxx11::function< SolverControl::State(const unsigned int iteration, const doublecheck_value, const VectorType &current_iterate)> &slot)
 
- Public Member Functions inherited from Subscriptor
 Subscriptor ()
 
 Subscriptor (const Subscriptor &)
 
 Subscriptor (Subscriptor &&)
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (Subscriptor &&)
 
void subscribe (const char *identifier=0) const
 
void unsubscribe (const char *identifier=0) const
 
unsigned int n_subscriptions () 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 Solver< VectorType >
typedef VectorType vector_type
 
- Static Public Member Functions inherited from Subscriptor
static::ExceptionBase & ExcInUse (int arg1, char *arg2, std::string &arg3)
 
static::ExceptionBase & ExcNoSubscriber (char *arg1, char *arg2)
 
- Protected Attributes inherited from Solver< VectorType >
GrowingVectorMemory< VectorType > static_vector_memory
 
VectorMemory< VectorType > & memory
 
boost::signals2::signal< SolverControl::State(const unsigned int iteration, const double check_value, const VectorType &current_iterate), StateCombineriteration_status
 

Detailed Description

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

Implementation of the Generalized minimal residual method with flexible preconditioning method.

This 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 also 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.

Caveat: Documentation of this class is not up to date. There are also a few parameters of GMRES we would like to introduce here.

Author
Guido Kanschat, 2003

Definition at line 462 of file solver_gmres.h.

Constructor & Destructor Documentation

template<class VectorType = Vector<double>>
SolverFGMRES< VectorType >::SolverFGMRES ( SolverControl cn,
VectorMemory< VectorType > &  mem,
const AdditionalData data = AdditionalData() 
)

Constructor.

template<class VectorType = Vector<double>>
SolverFGMRES< VectorType >::SolverFGMRES ( SolverControl cn,
const AdditionalData data = AdditionalData() 
)

Constructor. Use an object of type GrowingVectorMemory as a default to allocate memory.

Member Function Documentation

template<class VectorType = Vector<double>>
template<typename MatrixType , typename PreconditionerType >
void SolverFGMRES< VectorType >::solve ( const MatrixType &  A,
VectorType &  x,
const VectorType &  b,
const PreconditionerType &  precondition 
)

Solve the linear system \(Ax=b\) for x.

Member Data Documentation

template<class VectorType = Vector<double>>
AdditionalData SolverFGMRES< VectorType >::additional_data
private

Additional flags.

Definition at line 515 of file solver_gmres.h.

template<class VectorType = Vector<double>>
FullMatrix<double> SolverFGMRES< VectorType >::H
private

Projected system matrix

Definition at line 520 of file solver_gmres.h.

template<class VectorType = Vector<double>>
FullMatrix<double> SolverFGMRES< VectorType >::H1
private

Auxiliary matrix for inverting H

Definition at line 525 of file solver_gmres.h.


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