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

#include <blockOperator.hh>

Inheritance diagram for vectorial::BlockOperator< F >:
concepts::Operator< 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
AUpper left sub-operator
BUpper right sub-operator
CLower left sub-operator
DLower 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
dimDimension in both directions
AUpper left sub-operator
BUpper right sub-operator
CLower left sub-operator
DLower 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

◆ 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 >.

◆ show_messages()

template<class F >
virtual void concepts::Operator< F >::show_messages ( )
inlinevirtualinherited

Reimplemented in concepts::Newton< F >, concepts::MumpsOverlap< F >, and concepts::Mumps< F >.

Definition at line 100 of file compositions.hh.

Member Data Documentation

◆ A_

template<class F >
concepts::Operator<F>* vectorial::BlockOperator< F >::A_
private

Upper left submatrix.

Definition at line 68 of file blockOperator.hh.

◆ B_

template<class F >
concepts::Operator<F>* vectorial::BlockOperator< F >::B_
private

Upper right submatrix.

Definition at line 70 of file blockOperator.hh.

◆ bdimX_

template<class F >
uint vectorial::BlockOperator< F >::bdimX_[2]
private

Dimensions in X (columns) and Y (rows) of partly matrices.

Definition at line 66 of file blockOperator.hh.

◆ bdimY_

template<class F >
uint vectorial::BlockOperator< F >::bdimY_[2]
private

Definition at line 66 of file blockOperator.hh.

◆ C_

template<class F >
concepts::Operator<F>* vectorial::BlockOperator< F >::C_
private

Lower left submatrix.

Definition at line 72 of file blockOperator.hh.

◆ D_

template<class F >
concepts::Operator<F>* vectorial::BlockOperator< F >::D_
private

Lower right submatrix.

Definition at line 74 of file blockOperator.hh.

◆ 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.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich