Operator defined by 4 operators arranged in 2x2 blocks: More...

#include <blockOperator.hh>

Inheritance diagram for vectorial::BlockOperator< F >:

Public Types
typedef Cmplxtype< F >::type	c_type
	Real type of data type. More...

typedef Realtype< F >::type	r_type
	Real type of data type. More...

typedef F	type
	Type of data, e.g. matrix entries. More...

Public Member Functions
	BlockOperator (concepts::Operator< F > A=0, concepts::Operator< F > B=0, concepts::Operator< F > C=0, concepts::Operator< F > D=0)
	Constructor. More...

	BlockOperator (uint dimX, uint dimY, concepts::Operator< F > A=0, concepts::Operator< F > B=0, concepts::Operator< F > C=0, concepts::Operator< F > D=0)
	Constructor of an operator with `dimX` colums and `dimY` rows, where at least one sub-operator has to be given. More...

virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix) More...

virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix) More...

virtual void	operator() ()
	Application operator without argument. More...

virtual void	operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
	Application operator for functions. More...

void	operator() (const concepts::Vector< F > &fncY, concepts::Vector< F > &fncX)
	Application operator for vectors. More...

virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`. More...

virtual void	operator() (const Function< r_type > &fncY, Function< F > &fncX)
	Application operator for real function `fncY`. More...

virtual void	show_messages ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

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

uint	dimY_

Private Attributes
concepts::Operator< F > *	A_
	Upper left submatrix. More...

concepts::Operator< F > *	B_
	Upper right submatrix. More...

uint	bdimX_ [2]
	Dimensions in X (columns) and Y (rows) of partly matrices. More...

uint	bdimY_ [2]

concepts::Operator< F > *	C_
	Lower left submatrix. More...

concepts::Operator< F > *	D_
	Lower right submatrix. More...

Detailed Description

template<class F>
class vectorial::BlockOperator< F >

Operator defined by 4 operators arranged in 2x2 blocks:

$\left(\begin{array}{lr}A&B\\C&D\end{array}\right)$

. BlockOperator is an Operator on a vectorial::Space of vectorial dimension 2, consisting of, say, spc1 and spc2. A is an operator spc1->spc1, B is spc2->spc1, C is spc1->spc2 and D is spc2->spc2. This is useful for example in mixed FEM for the Stokes problem, where spc1 is the space of velocities and spc2 is the space of pressures. spc1 is then again a vectorial::Space.

Definition at line 29 of file blockOperator.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

◆ BlockOperator() [1/2]

template<class F >

vectorial::BlockOperator< F >::BlockOperator	(	concepts::Operator< F > *	A = `0`,
		concepts::Operator< F > *	B = `0`,
		concepts::Operator< F > *	C = `0`,
		concepts::Operator< F > *	D = `0`
	)

Constructor.

Parameters

A	Upper left sub-operator
B	Upper right sub-operator
C	Lower left sub-operator
D	Lower right sub-operator

◆ BlockOperator() [2/2]

template<class F >

vectorial::BlockOperator< F >::BlockOperator	(	uint	dimX,
		uint	dimY,
		concepts::Operator< F > *	A = `0`,
		concepts::Operator< F > *	B = `0`,
		concepts::Operator< F > *	C = `0`,
		concepts::Operator< F > *	D = `0`
	)

Constructor of an operator with dimX colums and dimY rows, where at least one sub-operator has to be given.

Parameters

dim	Dimension in both directions
A	Upper left sub-operator
B	Upper right sub-operator
C	Lower left sub-operator
D	Lower right sub-operator

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)

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)

Definition at line 98 of file compositions.hh.

◆ info()

template<class F >

virtual std::ostream& vectorial::BlockOperator< F >::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::Operator< F >.

◆ operator()() [1/5]

template<class F >

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

virtualinherited

Application operator without argument.

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

◆ operator()() [2/5]

template<class F >

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

virtual

Application operator for functions.

◆ operator()() [3/5]

template<class F >

void vectorial::BlockOperator< F >::operator()	(	const concepts::Vector< F > &	fncY,
		concepts::Vector< F > &	fncX
	)

Application operator for vectors.

◆ operator()() [4/5]

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::DiagonalSolver< F >, concepts::LiCo< F >, concepts::LiCoI< F >, concepts::Multiple< F >, concepts::VecOperator< F >, concepts::VecOperator< T >, concepts::VecOperator< F::d_type >, concepts::VecOperator< Cmplx >, and concepts::VecOperator< Real >.

◆ operator()() [5/5]

template<class F >

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

virtualinherited

Application operator for real function fncY.

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

fncX becomes the type of the operator, for real data it becomes real, for complex data it becomes complex.

In derived classes its enough to implement the operator() for real Operator's. If a complex counterpart is not implemented, the function fncY is transformed to a complex function and then the application operator for complex functions is called.

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

Reimplemented in concepts::VecOperator< T >, concepts::VecOperator< Real >, concepts::LiCo< F >, concepts::LiCoI< F >, concepts::Multiple< F >, concepts::VecOperator< F >, concepts::VecOperator< F::d_type >, and concepts::VecOperator< Cmplx >.