Cluster approximation of the stiffness matrix. More...

#include <operator02.hh>

Inheritance diagram for cluster::Operator02< NodeX, NodeY >:

Collaboration diagram for cluster::Operator02< NodeX, NodeY >:

Public Types
typedef Cmplxtype< TreeTraits < NodeX >::F >::type	c_type
	Real type of data type.
typedef Realtype< TreeTraits < NodeX >::F >::type	r_type
	Real type of data type.
typedef TreeTraits< NodeX >::F	type
	Type of data, e.g. matrix entries.
Public Member Functions
virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix)
virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix)
float	memory () const
	Memory usage in byte.
virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`.
virtual void	operator() (const Function< r_type > &fncY, Function< TreeTraits< NodeX >::F > &fncX)
	Application operator for real function `fncY`.
void	operator() (const concepts::Function< FY > &fncY, concepts::Function< FX > &fncX)
void	operator() (const concepts::Vector< FY > &fncY, concepts::Vector< FX > &fncX)
	Operator02 (concepts::BilinearForm< FX > &bf, ClstF< NodeX, NodeY > &F, ClstX< NodeX > &X, ClstY< NodeY > &Y)
	Constructor.
const concepts::Space< FX > &	spaceX () const
const concepts::Space< FY > &	spaceY () const
Protected Member Functions
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_
Private Types
typedef TraitsX::F	FX
typedef TraitsY::F	FY
typedef TreeTraits< NodeX >	TraitsX
	Interface for the operator.
typedef TreeTraits< NodeY >	TraitsY
Private Member Functions
void	constructor_ (const NodeX X, const NodeY Y)
	Constructors for recursive calls.
void	constructor_ (const concepts::Element< FX > elmX, const NodeY Y)
Private Attributes
concepts::ElementMatrix< FX >	A_
	Element matrices to compute the near field matrix.
concepts::ElementMatrix< FX >	B_
concepts::BilinearForm< FX > &	bf_
	Bilinear form.
ClstF< NodeX, NodeY > &	F_
	Far field matrix F.
concepts::SparseMatrix< FX >	N_
	Near field matrix.
ClstX< NodeX > &	X_
	Far field matrix X.
ClstY< NodeY > &	Y_
	Far field matrix Y.

Detailed Description

template<class NodeX, class NodeY>
class cluster::Operator02< NodeX, NodeY >

Cluster approximation of the stiffness matrix.

Parameters:

NodeX	Node of a cluster tree
NodeY	Node of a cluster tree

Definition at line 22 of file operator02.hh.

Member Typedef Documentation

typedef Cmplxtype<TreeTraits< NodeX >::F >::type concepts::Operator< TreeTraits< NodeX >::F >::c_type [inherited]

Real type of data type.

Definition at line 47 of file compositions.hh.

template<class NodeX , class NodeY >

typedef TraitsX::F cluster::Operator02< NodeX, NodeY >::FX [private]

Definition at line 26 of file operator02.hh.

template<class NodeX , class NodeY >

typedef TraitsY::F cluster::Operator02< NodeX, NodeY >::FY [private]

Definition at line 27 of file operator02.hh.

typedef Realtype<TreeTraits< NodeX >::F >::type concepts::Operator< TreeTraits< NodeX >::F >::r_type [inherited]

Real type of data type.

Definition at line 45 of file compositions.hh.

template<class NodeX , class NodeY >

typedef TreeTraits<NodeX> cluster::Operator02< NodeX, NodeY >::TraitsX [private]

Interface for the operator.

Definition at line 24 of file operator02.hh.

template<class NodeX , class NodeY >

typedef TreeTraits<NodeY> cluster::Operator02< NodeX, NodeY >::TraitsY [private]

Definition at line 25 of file operator02.hh.

typedef TreeTraits< NodeX >::F concepts::Operator< TreeTraits< NodeX >::F >::type [inherited]

Type of data, e.g. matrix entries.

Definition at line 43 of file compositions.hh.

Constructor & Destructor Documentation

template<class NodeX , class NodeY >

cluster::Operator02< NodeX, NodeY >::Operator02	(	concepts::BilinearForm< FX > &	bf,
		ClstF< NodeX, NodeY > &	F,
		ClstX< NodeX > &	X,
		ClstY< NodeY > &	Y
	)

Constructor.

Parameters:

bf	Bilinear form to compute the near field entries
F	Far field approximation F
X	Far field approximation X
Y	Far field approximation Y

Member Function Documentation

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::constructor_	(	const NodeX *	X,
		const NodeY *	Y
	)		`[private]`

Constructors for recursive calls.

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::constructor_	(	const concepts::Element< FX > *	elmX,
		const NodeY *	Y
	)		`[private]`

virtual const uint concepts::Operator< TreeTraits< NodeX >::F >::dimX ( ) const [inline, virtual, inherited]

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

Definition at line 87 of file compositions.hh.

virtual const uint concepts::Operator< TreeTraits< NodeX >::F >::dimY ( ) const [inline, virtual, inherited]

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

Definition at line 92 of file compositions.hh.

template<class NodeX , class NodeY >

std::ostream& cluster::Operator02< NodeX, NodeY >::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::Operator< TreeTraits< NodeX >::F >.

template<class NodeX , class NodeY >

float cluster::Operator02< NodeX, NodeY >::memory ( ) const [inline]

Memory usage in byte.

Definition at line 73 of file operator02.hh.

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::operator()	(	const concepts::Function< FY > &	fncY,
		concepts::Function< FX > &	fncX
	)

Exceptions:

MissingFeature

virtual void concepts::Operator< TreeTraits< NodeX >::F >::operator()	(	const Function< c_type > &	fncY,
		Function< c_type > &	fncX
	)		`[virtual, inherited]`

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.

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::operator()	(	const concepts::Vector< FY > &	fncY,
		concepts::Vector< FX > &	fncX
	)

virtual void concepts::Operator< TreeTraits< NodeX >::F >::operator()	(	const Function< r_type > &	fncY,
		Function< TreeTraits< NodeX >::F > &	fncX
	)		`[virtual, inherited]`

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.

template<class NodeX , class NodeY >

const concepts::Space<FX>& cluster::Operator02< NodeX, NodeY >::spaceX ( ) const [inline]

Definition at line 68 of file operator02.hh.

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template<class NodeX , class NodeY >

const concepts::Space<FY>& cluster::Operator02< NodeX, NodeY >::spaceY ( ) const [inline]

Definition at line 69 of file operator02.hh.

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Member Data Documentation

template<class NodeX , class NodeY >

concepts::ElementMatrix<FX> cluster::Operator02< NodeX, NodeY >::A_ [private]

Element matrices to compute the near field matrix.

Definition at line 41 of file operator02.hh.

template<class NodeX , class NodeY >

concepts::ElementMatrix<FX> cluster::Operator02< NodeX, NodeY >::B_ [private]

Definition at line 42 of file operator02.hh.

template<class NodeX , class NodeY >

concepts::BilinearForm<FX>& cluster::Operator02< NodeX, NodeY >::bf_ [private]

Bilinear form.

Definition at line 30 of file operator02.hh.

uint concepts::Operator< TreeTraits< NodeX >::F >::dimX_ [protected, inherited]

Dimension of image space and the source space.

Definition at line 96 of file compositions.hh.

uint concepts::Operator< TreeTraits< NodeX >::F >::dimY_ [protected, inherited]

Definition at line 96 of file compositions.hh.

template<class NodeX , class NodeY >

ClstF<NodeX,NodeY>& cluster::Operator02< NodeX, NodeY >::F_ [private]

Far field matrix F.

Definition at line 32 of file operator02.hh.

template<class NodeX , class NodeY >

concepts::SparseMatrix<FX> cluster::Operator02< NodeX, NodeY >::N_ [private]

Near field matrix.

Definition at line 38 of file operator02.hh.

template<class NodeX , class NodeY >

ClstX<NodeX>& cluster::Operator02< NodeX, NodeY >::X_ [private]

Far field matrix X.

Definition at line 34 of file operator02.hh.

template<class NodeX , class NodeY >

ClstY<NodeY>& cluster::Operator02< NodeX, NodeY >::Y_ [private]

Far field matrix Y.

Definition at line 36 of file operator02.hh.

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

cluster/operator02.hh

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Types

Private Member Functions

Private Attributes

Detailed Description

template<class NodeX, class NodeY> class cluster::Operator02< NodeX, NodeY >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class NodeX, class NodeY>
class cluster::Operator02< NodeX, NodeY >