concepts::DDSolver< F, G > Class Template Reference

#include <domainDecomp.hh>

Inheritance diagram for concepts::DDSolver< F, G >:

Public Types
typedef F	type
	Type of data, e.g. matrix entries.
typedef Realtype< F >::type	r_type
	Real type of data type.
typedef Cmplxtype< F >::type	c_type
	Real type of data type.

Public Member Functions
	DDSolver (DDSpace< G > &spc, Sequence< SparseMatrix< F > * > &A, bool explSchur, SolverFabric< F > &innerSolver, SolverFabric< F > &schurComplSolver, SolverFabric< F > *schurComplPrecond=0)
virtual void	operator() (const Function< F > &fncY, Function< F > &fncX)
void	operator() (const Vector< F > &fncY, Vector< F > &fncX)
virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
virtual void	operator() ()
virtual const uint	dimX () const
virtual const uint	dimY () const
virtual void	show_messages ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Protected Attributes
uint	dimX_
	Dimension of image space and the source space.
uint	dimY_

Detailed Description

template<class F, class G = typename Realtype<F>::type>
class concepts::DDSolver< F, G >

Domain Decomposition Solver.

The solvers for the inversion of A_II and the Schur complement can be choosen by handing over the fabrics. The Schur complement system can be preconditioned by the Schur complement of the first domain.

Author

Kersten Schmidt, 2005

Definition at line 33 of file domainDecomp.hh.

Member Typedef Documentation

c_type

template<class F >

typedef Cmplxtype<F>::type concepts::Operator< F >::c_type

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

r_type

template<class F >

typedef Realtype<F>::type concepts::Operator< F >::r_type

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

type

template<class F >

typedef F concepts::Operator< F >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

DDSolver()

template<class F , class G = typename Realtype<F>::type>

concepts::DDSolver< F, G >::DDSolver	(	DDSpace< G > &	spc,
		Sequence< SparseMatrix< F > * > &	A,
		bool	explSchur,
		SolverFabric< F > &	innerSolver,
		SolverFabric< F > &	schurComplSolver,
		SolverFabric< F > *	schurComplPrecond = 0
	)

Constructor

Parameters

spc	domain decomposition space
A	sequence of matrices, for each domain
explSchur	true: Schur complement matrices are built explicitly (for direct solvers needed) false: Schur complement taken as operator (enough for iterative solvers)
innerSolver	solver for the stiffness matrices for degrees of freedom inside the domains
schurComplSolver	solver for the Schur complement system
schurComplPrecond	preconditioner for the Schur complement system

Member Function Documentation

dimX()

template<class F >

virtual const uint concepts::Operator< F >::dimX ( ) const

inlinevirtualinherited

Returns the size of the image space of the operator (number of rows of the corresponding matrix)

Examples

hpFEM2d-simple.cc, hpFEM2d.cc, and matfileTutorial.cc.

Definition at line 93 of file compositions.hh.

dimY()

template<class F >

virtual const uint concepts::Operator< F >::dimY ( ) const

inlinevirtualinherited

Returns the size of the source space of the operator (number of columns of the corresponding matrix)

Examples

matfileTutorial.cc.

Definition at line 98 of file compositions.hh.

info()

template<class F , class G = typename Realtype<F>::type>

virtual std::ostream & concepts::DDSolver< F, G >::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Operator< F >.

operator()() [1/3]

template<class F >

virtual void concepts::Operator< F >::operator() ( )

virtualinherited

Application operator without argument

Reimplemented in concepts::BelosSolver< T >, concepts::VecOperator< F >, concepts::VecOperator< Cmplx >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Real >, and concepts::VecOperator< T >.

operator()() [2/3]

template<class F >

virtual void concepts::Operator< F >::operator() ( const Function< c_type > &  fncY, Function< c_type > &  fncX  )

virtualinherited

Application operator for complex function fncY.

Computes fncX = A(fncY) where A is this operator. fncX becomes complex.

In derived classes its enough to implement the operator() for complex Operator's. If a real counterpart is not implemented, the function fncY is splitted into real and imaginary part and the application operator for real functions is called for each. Then the result is combined.

If in a derived class the operator() for complex Operator's is not implemented, a exception is thrown from here.

Reimplemented in concepts::VecOperator< F >, concepts::VecOperator< Cmplx >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Real >, concepts::VecOperator< T >, concepts::Multiple< F >, concepts::LiCoI< F >, concepts::LiCo< F >, concepts::DenseMatrix< F >, concepts::DiagonalMatrix< F >, concepts::Permutation< F >, concepts::Permutation< Real >, concepts::SparseMatrix< F >, concepts::SparseMatrix< FX >, concepts::SparseMatrix< Real >, concepts::SubMatrixN< F >, concepts::Transpose< F >, concepts::Matrix< F >, concepts::Matrix< F::type >, concepts::Matrix< FX >, concepts::Matrix< Real >, and concepts::DiagonalSolver< F >.

operator()() [3/3]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::DDSolver< F, G >::operator() ( const Function< F > &  fncY, Function< F > &  fncX  )

virtual

Application operator. Computes fncX = A(fncY) where A is this operator.

Reimplemented from concepts::Operator< F >.

show_messages()

template<class F >

virtual void concepts::Operator< F >::show_messages ( )

inlinevirtualinherited

Reimplemented in concepts::MumpsOverlap< F >.

Definition at line 100 of file compositions.hh.

Member Data Documentation

dimX_

template<class F >

uint concepts::Operator< F >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

dimY_

template<class F >

uint concepts::Operator< F >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

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

• operator/domainDecomp.hh