Gauss-Seidel preconditioner for the 'backward' ordering of the dofs. More...

#include <gauss_seidel.h>

Inheritance diagram for ug::BackwardGaussSeidel< TAlgebra >:

Public Member Functions
	BackwardGaussSeidel ()
	constructor

	BackwardGaussSeidel (const BackwardGaussSeidel< TAlgebra > &parent)
	clone constructor

virtual SmartPtr< ILinearIterator< vector_type > >	clone ()
	Clone.

virtual const char *	name () const
	returns the name of iterator

virtual void	step (const matrix_type &A, vector_type &c, const vector_type &d, const number relax)

Public Member Functions inherited from ug::GaussSeidelBase< TAlgebra >
void	enable_consistent_interfaces (bool enable)
	activates the new parallelization approach (disabled by default)

void	enable_overlap (bool enable)

	GaussSeidelBase ()

	GaussSeidelBase (const GaussSeidelBase< TAlgebra > &parent)
	clone constructor

void	set_ordering_algorithm (SmartPtr< ordering_algo_type > ordering_algo)
	sets an ordering algorithm

void	set_sor_relax (number relaxFactor)
	set relaxation parameter to define a SOR-method

Public Member Functions inherited from ug::IPreconditioner< TAlgebra >
virtual bool	apply (vector_type &c, const vector_type &d)
	compute new correction c = B*d

virtual bool	apply_update_defect (vector_type &c, vector_type &d)
	compute new correction c = Bd and update defect d:= d - Lc

SmartPtr< MatrixOperator< matrix_type, vector_type > >	approx_operator ()
	underlying matrix based operator used for the preconditioner

SmartPtr< MatrixOperator< matrix_type, vector_type > >	defect_operator ()
	underlying matrix based operator for calculation of defect

virtual bool	init (SmartPtr< ILinearOperator< vector_type > > J, const vector_type &u)
	implements the ILinearIterator-interface for matrix based preconditioner

bool	init (SmartPtr< ILinearOperator< vector_type > > L)
	implements the ILinearIterator-interface for matrix based preconditioner

bool	init (SmartPtr< MatrixOperator< matrix_type, vector_type > > Op)
	initializes the preconditioner for a matrix based operator

	IPreconditioner ()
	default constructor

	IPreconditioner (const IPreconditioner< TAlgebra > &parent)
	clone constructor

	IPreconditioner (SmartPtr< IDebugWriter< algebra_type > > spDebugWriter)
	constructor setting debug writer

virtual void	set_approximation (SmartPtr< MatrixOperator< matrix_type, vector_type > > approx)

virtual	~IPreconditioner ()
	virtual destructor

Public Member Functions inherited from ug::ILinearIterator< TAlgebra::vector_type >
virtual std::string	config_string () const

SmartPtr< IDamping< TAlgebra::vector_type, TAlgebra::vector_type > >	damping ()
	returns the scaling

	ILinearIterator ()
	constructor

	ILinearIterator (const ILinearIterator< TAlgebra::vector_type, TAlgebra::vector_type > &parent)
	copy constructor

virtual bool	init (SmartPtr< ILinearOperator< TAlgebra::vector_type, TAlgebra::vector_type > > J, const TAlgebra::vector_type &u)=0
	initialize for operator J(u) and linearization point u

virtual bool	init (SmartPtr< ILinearOperator< TAlgebra::vector_type, TAlgebra::vector_type > > L)=0
	initialize for linear operator L

void	set_damp (number factor)
	sets the damping to a constant factor

void	set_damp (SmartPtr< IDamping< TAlgebra::vector_type, TAlgebra::vector_type > > spScaling)
	sets a scaling for the correction

virtual	~ILinearIterator ()
	virtual destructor

Public Member Functions inherited from ug::DebugWritingObject< TAlgebra >
SmartPtr< IDebugWriter< algebra_type > >	debug_writer ()
	returns the debug writer

ConstSmartPtr< IDebugWriter< algebra_type > >	debug_writer () const

bool	debug_writer_valid () const
	returns true if the debug writer is set

	DebugWritingObject ()

	DebugWritingObject (const DebugWritingObject< algebra_type > &parent)
	clone constructor

	DebugWritingObject (SmartPtr< IDebugWriter< algebra_type > > spDebugWriter)

virtual void	set_debug (SmartPtr< IDebugWriter< algebra_type > > spDebugWriter)
	set debug writer

virtual	~DebugWritingObject ()
	virtual destructor

Public Member Functions inherited from ug::VectorDebugWritingObject< TAlgebra::vector_type >
virtual void	set_debug (SmartPtr< IVectorDebugWriter< vector_type > > spDebugWriter)
	set debug writer

SmartPtr< IVectorDebugWriter< vector_type > >	vector_debug_writer ()
	returns the debug writer

ConstSmartPtr< IVectorDebugWriter< vector_type > >	vector_debug_writer () const

bool	vector_debug_writer_valid () const
	returns true if the debug writer is set

	VectorDebugWritingObject ()

	VectorDebugWritingObject (SmartPtr< IVectorDebugWriter< vector_type > > spDebugWriter)

void	write_debug (const vector_type &vec, const char *filename)
	writing debug output for a vector (if debug writer set)

virtual	~VectorDebugWritingObject ()
	virtual destructor

Private Types
typedef TAlgebra	algebra_type

typedef GaussSeidelBase< TAlgebra >	base_type

typedef TAlgebra::matrix_type	matrix_type

typedef TAlgebra::vector_type	vector_type

Additional Inherited Members
Public Types inherited from ug::GaussSeidelBase< TAlgebra >
typedef TAlgebra	algebra_type

typedef IPreconditioner< TAlgebra >	base_type
	Base type.

typedef IPreconditioner< TAlgebra >::matrix_operator_type	matrix_operator_type
	Matrix Operator type.

typedef TAlgebra::matrix_type	matrix_type

typedef IOrderingAlgorithm< TAlgebra, ordering_container_type >	ordering_algo_type

typedef std::vector< size_t >	ordering_container_type
	Ordering type.

typedef TAlgebra::vector_type	vector_type

Public Types inherited from ug::IPreconditioner< TAlgebra >
typedef TAlgebra	algebra_type
	Algebra type.

typedef MatrixOperator< matrix_type, vector_type >	matrix_operator_type
	Matrix Operator type.

typedef TAlgebra::matrix_type	matrix_type
	Matrix type.

typedef TAlgebra::vector_type	vector_type
	Vector type.

Public Types inherited from ug::ILinearIterator< TAlgebra::vector_type >
typedef TAlgebra::vector_type	codomain_function_type
	Range space.

typedef TAlgebra::vector_type	domain_function_type
	Domain space.

Public Types inherited from ug::DebugWritingObject< TAlgebra >
typedef TAlgebra	algebra_type
	type of algebra

typedef TAlgebra::matrix_type	matrix_type
	type of matrix

typedef TAlgebra::vector_type	vector_type
	type of vector

Public Types inherited from ug::VectorDebugWritingObject< TAlgebra::vector_type >
typedef TAlgebra::vector_type	vector_type
	type of vector

Protected Member Functions inherited from ug::GaussSeidelBase< TAlgebra >
virtual bool	postprocess ()
	cleans the operator

virtual bool	preprocess (SmartPtr< MatrixOperator< matrix_type, vector_type > > pOp)
	initializes the preconditioner

virtual bool	step (SmartPtr< MatrixOperator< matrix_type, vector_type > > pOp, vector_type &c, const vector_type &d)
	computes a new correction c = B*d

virtual bool	supports_parallel () const
	returns if parallel solving is supported

Protected Member Functions inherited from ug::DebugWritingObject< TAlgebra >
void	enter_debug_writer_section (const char *secDir)
	enters a debugging section

void	enter_debug_writer_section (std::string secDir)
	enters a debugging section

void	leave_debug_writer_section ()
	leaves a debugging section

void	write_debug (const matrix_type &mat, const char *filename)
	write debug output for a matrix (if debug writer set)

void	write_debug (const matrix_type &mat, std::string name)
	write debug output for a matrix (if debug writer set)

Protected Member Functions inherited from ug::VectorDebugWritingObject< TAlgebra::vector_type >
void	enter_vector_debug_writer_section (const char *secDir)
	enters a debugging section

void	enter_vector_debug_writer_section (std::string secDir)
	enters a debugging section

void	leave_vector_debug_writer_section ()
	leaves a debugging section

void	print_debugger_message (const char *msg)
	prints a debugger message (listing all the sections)

void	print_debugger_message (std::string msg)
	prints a debugger message (listing all the sections)

virtual void	write_debug (const vector_type &vec, std::string name)
	writing debug output for a vector (if debug writer set)

Protected Attributes inherited from ug::GaussSeidelBase< TAlgebra >
matrix_type	m_A

bool	m_bConsistentInterfaces

vector_type	m_oC

vector_type	m_oD
	for overlaps only

number	m_relax
	relaxation parameter

SmartPtr< ordering_algo_type >	m_spOrderingAlgo
	for ordering algorithms

bool	m_useOverlap

Protected Attributes inherited from ug::IPreconditioner< TAlgebra >
bool	m_bInit
	init flag indicating if init has been called

bool	m_bOtherApproxOperator

SmartPtr< MatrixOperator< matrix_type, vector_type > >	m_spApproxOperator
	underlying matrix based operator used for the preconditioner

SmartPtr< ILinearOperator< vector_type > >	m_spDefectOperator
	underlying matrix based operator for calculation of defect

Protected Attributes inherited from ug::ILinearIterator< TAlgebra::vector_type >
SmartPtr< IDamping< TAlgebra::vector_type, TAlgebra::vector_type > >	m_spDamping
	the scaling

Protected Attributes inherited from ug::DebugWritingObject< TAlgebra >
SmartPtr< IDebugWriter< algebra_type > >	m_spDebugWriter
	Debug Writer.

Protected Attributes inherited from ug::VectorDebugWritingObject< TAlgebra::vector_type >
SmartPtr< IVectorDebugWriter< vector_type > >	m_spVectorDebugWriter
	Debug Writer.

Detailed Description

template<typename TAlgebra>
class ug::BackwardGaussSeidel< TAlgebra >

Gauss-Seidel preconditioner for the 'backward' ordering of the dofs.

This class implements the Gauss-Seidel preconditioner (and smoother) for the 'backward' ordering of the dofs. When a relaxation parameter is set by the method 'set_sor_relax', the resulting preconditioner is better known as backward 'SOR'-method. References:

W. Hackbusch. Iterative solution of large sparse systems of equations. New York: Springer, 1994

Template Parameters

TAlgebra Algebra type

Member Typedef Documentation

◆ algebra_type

template<typename TAlgebra >

typedef TAlgebra ug::BackwardGaussSeidel< TAlgebra >::algebra_type

private

◆ base_type

template<typename TAlgebra >

typedef GaussSeidelBase<TAlgebra> ug::BackwardGaussSeidel< TAlgebra >::base_type

private

◆ matrix_type

template<typename TAlgebra >

typedef TAlgebra::matrix_type ug::BackwardGaussSeidel< TAlgebra >::matrix_type

private

◆ vector_type

template<typename TAlgebra >

typedef TAlgebra::vector_type ug::BackwardGaussSeidel< TAlgebra >::vector_type

private

Constructor & Destructor Documentation

◆ BackwardGaussSeidel() [1/2]

template<typename TAlgebra >

ug::BackwardGaussSeidel< TAlgebra >::BackwardGaussSeidel ( )

inline

constructor

◆ BackwardGaussSeidel() [2/2]

template<typename TAlgebra >

ug::BackwardGaussSeidel< TAlgebra >::BackwardGaussSeidel ( const BackwardGaussSeidel< TAlgebra > & parent )

inline

clone constructor

Member Function Documentation

◆ clone()

template<typename TAlgebra >

virtual SmartPtr< ILinearIterator< vector_type > > ug::BackwardGaussSeidel< TAlgebra >::clone ( )

inlinevirtual

Clone.

Implements ug::ILinearIterator< TAlgebra::vector_type >.

References make_sp().

◆ name()

template<typename TAlgebra >

virtual const char * ug::BackwardGaussSeidel< TAlgebra >::name ( ) const

inlinevirtual

returns the name of iterator

This method returns the name of the iterator operator. This function is typically needed, when the iterator operator is used inside of another operator and some debug output should be printed

Returns: const char* name of inverse operator

Implements ug::GaussSeidelBase< TAlgebra >.

◆ step()

template<typename TAlgebra >

virtual void ug::BackwardGaussSeidel< TAlgebra >::step	(	const matrix_type &	A,
		vector_type &	c,
		const vector_type &	d,
		const number	relax
	)

inlinevirtual

Implements ug::GaussSeidelBase< TAlgebra >.

References ug::gs_step_UR().

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

ugbase/lib_algebra/operator/preconditioner/gauss_seidel.h

Public Member Functions

Private Types

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ algebra_type

◆ base_type

◆ matrix_type

◆ vector_type

Constructor & Destructor Documentation

◆ BackwardGaussSeidel() [1/2]

◆ BackwardGaussSeidel() [2/2]

Member Function Documentation

◆ clone()

◆ name()

◆ step()