Reference documentation for deal.II version Git 803d21ff95 2020-10-01 11:19:45 -0600
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Public Types | Public Member Functions | Static Public Member Functions | Protected Attributes | Private Attributes | List of all members

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

Inheritance diagram for PreconditionSSOR< MatrixType >:
[legend]

Public Types

using AdditionalData = typename PreconditionRelaxation< MatrixType >::AdditionalData
 
using size_type = typename MatrixType::size_type
 
using BaseClass = PreconditionRelaxation< MatrixType >
 

Public Member Functions

void initialize (const MatrixType &A, const typename BaseClass::AdditionalData &parameters=typename BaseClass::AdditionalData())
 
template<class VectorType >
void vmult (VectorType &, const VectorType &) const
 
template<class VectorType >
void Tvmult (VectorType &, const VectorType &) const
 
template<class VectorType >
void step (VectorType &x, const VectorType &rhs) const
 
template<class VectorType >
void Tstep (VectorType &x, const VectorType &rhs) const
 
void initialize (const MatrixType &A, const AdditionalData &parameters=AdditionalData())
 
void clear ()
 
size_type m () const
 
size_type n () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
Subscriptor functionality

Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.

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
 

Static Public Member Functions

static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)
 

Protected Attributes

SmartPointer< const MatrixType, PreconditionRelaxation< MatrixType > > A
 
double relaxation
 

Private Attributes

std::vector< std::size_t > pos_right_of_diagonal
 

Detailed Description

template<typename MatrixType = SparseMatrix<double>>
class PreconditionSSOR< MatrixType >

SSOR preconditioner using matrix built-in function. The MatrixType class used is required to have a function precondition_SSOR(VectorType&, const VectorType&, double). This class satisfies the relaxation concept.

// Declare related objects
SolverCG<> solver(...);
//...initialize and build A
// Define and initialize preconditioner
precondition.initialize(
solver.solve (A, x, b, precondition);

Definition at line 648 of file precondition.h.

Member Typedef Documentation

◆ AdditionalData

template<typename MatrixType = SparseMatrix<double>>
using PreconditionSSOR< MatrixType >::AdditionalData = typename PreconditionRelaxation<MatrixType>::AdditionalData

An alias to the base class AdditionalData.

Definition at line 655 of file precondition.h.

◆ size_type

template<typename MatrixType = SparseMatrix<double>>
using PreconditionSSOR< MatrixType >::size_type = typename MatrixType::size_type

Declare type for container size.

Definition at line 660 of file precondition.h.

◆ BaseClass

template<typename MatrixType = SparseMatrix<double>>
using PreconditionSSOR< MatrixType >::BaseClass = PreconditionRelaxation<MatrixType>

An alias to the base class.

Definition at line 665 of file precondition.h.

Member Function Documentation

◆ initialize() [1/2]

template<typename MatrixType = SparseMatrix<double>>
void PreconditionSSOR< MatrixType >::initialize ( const MatrixType &  A,
const typename BaseClass::AdditionalData parameters = typename BaseClass::AdditionalData() 
)

Initialize matrix and relaxation parameter. The matrix is just stored in the preconditioner object. The relaxation parameter should be larger than zero and smaller than 2 for numerical reasons. It defaults to 1.

◆ vmult()

template<typename MatrixType = SparseMatrix<double>>
template<class VectorType >
void PreconditionSSOR< MatrixType >::vmult ( VectorType ,
const VectorType  
) const

Apply preconditioner.

◆ Tvmult()

template<typename MatrixType = SparseMatrix<double>>
template<class VectorType >
void PreconditionSSOR< MatrixType >::Tvmult ( VectorType ,
const VectorType  
) const

Apply transpose preconditioner. Since this is a symmetric preconditioner, this function is the same as vmult().

◆ step()

template<typename MatrixType = SparseMatrix<double>>
template<class VectorType >
void PreconditionSSOR< MatrixType >::step ( VectorType x,
const VectorType rhs 
) const

Perform one step of the preconditioned Richardson iteration

◆ Tstep()

template<typename MatrixType = SparseMatrix<double>>
template<class VectorType >
void PreconditionSSOR< MatrixType >::Tstep ( VectorType x,
const VectorType rhs 
) const

Perform one transposed step of the preconditioned Richardson iteration.

◆ initialize() [2/2]

template<typename MatrixType = SparseMatrix<double>>
void PreconditionRelaxation< MatrixType >::initialize ( const MatrixType &  A,
const AdditionalData parameters = AdditionalData() 
)
inherited

Initialize matrix and relaxation parameter. The matrix is just stored in the preconditioner object. The relaxation parameter should be larger than zero and smaller than 2 for numerical reasons. It defaults to 1.

◆ clear()

template<typename MatrixType = SparseMatrix<double>>
void PreconditionRelaxation< MatrixType >::clear ( )
inherited

Release the matrix and reset its pointer.

◆ m()

template<typename MatrixType = SparseMatrix<double>>
size_type PreconditionRelaxation< MatrixType >::m ( ) const
inherited

Return the dimension of the codomain (or range) space. Note that the matrix is of dimension \(m \times n\).

◆ n()

template<typename MatrixType = SparseMatrix<double>>
size_type PreconditionRelaxation< MatrixType >::n ( ) const
inherited

Return the dimension of the domain space. Note that the matrix is of dimension \(m \times n\).

◆ subscribe()

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

Subscribes a user of the object by storing the pointer validity. The subscriber may be identified by text supplied as identifier.

Definition at line 136 of file subscriptor.cc.

◆ unsubscribe()

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

Unsubscribes a user from the object.

Note
The identifier and the validity pointer must be the same as the one supplied to subscribe().

Definition at line 156 of file subscriptor.cc.

◆ n_subscriptions()

unsigned int Subscriptor::n_subscriptions ( ) const
inlineinherited

Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.

Definition at line 300 of file subscriptor.h.

◆ list_subscribers() [1/2]

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

List the subscribers to the input stream.

Definition at line 317 of file subscriptor.h.

◆ list_subscribers() [2/2]

void Subscriptor::list_subscribers ( ) const
inherited

List the subscribers to deallog.

Definition at line 204 of file subscriptor.cc.

◆ serialize()

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

Read or write the data of this object to or from a stream for the purpose of serialization.

This function does not actually serialize any of the member variables of this class. The reason is that what this class stores is only who subscribes to this object, but who does so at the time of storing the contents of this object does not necessarily have anything to do with who subscribes to the object when it is restored. Consequently, we do not want to overwrite the subscribers at the time of restoring, and then there is no reason to write the subscribers out in the first place.

Definition at line 309 of file subscriptor.h.

Member Data Documentation

◆ pos_right_of_diagonal

template<typename MatrixType = SparseMatrix<double>>
std::vector<std::size_t> PreconditionSSOR< MatrixType >::pos_right_of_diagonal
private

An array that stores for each matrix row where the first position after the diagonal is located.

Definition at line 713 of file precondition.h.

◆ A

template<typename MatrixType = SparseMatrix<double>>
SmartPointer<const MatrixType, PreconditionRelaxation<MatrixType> > PreconditionRelaxation< MatrixType >::A
protectedinherited

Pointer to the matrix object.

Definition at line 458 of file precondition.h.

◆ relaxation

template<typename MatrixType = SparseMatrix<double>>
double PreconditionRelaxation< MatrixType >::relaxation
protectedinherited

Relaxation parameter.

Definition at line 463 of file precondition.h.


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