Maps a solution vector from one space to another. More...

#include <spaceTransition.hh>

Inheritance diagram for hp3D::SpaceTransition:

Collaboration diagram for hp3D::SpaceTransition:

Public Types
typedef Cmplxtype< Real >::type	c_type
	Real type of data type.
typedef Realtype< Real >::type	r_type
	Real type of data type.
typedef Real	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)
virtual void	operator() (const concepts::Function< Real > &fncY, concepts::Function< Real > &fncX)
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< Real > &fncX)
	Application operator for real function `fncY`.
void	operator() (const concepts::Vector< Real > &fncY, concepts::Vector< Real > &fncX)
	SpaceTransition (const Space &spaceX, const Space &spaceY)
	Constructor.
virtual const Space &	spaceX () const
virtual const Space &	spaceY () const
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_
Private Member Functions
bool	findChildPath_ (const int level, const concepts::Hexahedron3d &large, const concepts::Hexahedron3d &small, concepts::Array< uint > &children)
	Finds a path from `large` to `small`.
Private Attributes
concepts::ElementPairList< Real >	elmPairs_
	List of element pairs.
const Space &	spcX_
	The spaces.
const Space &	spcY_

Detailed Description

Maps a solution vector from one space to another.

Works very well for most apriori meshes.

Bug:: If used for randomized meshes, some basis functions are not mapped exactly.

Author:: Philipp Frauenfelder, 2003

Definition at line 39 of file spaceTransition.hh.

Member Typedef Documentation

typedef Cmplxtype<Real >::type concepts::Operator< Real >::c_type [inherited]

Real type of data type.

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

Definition at line 47 of file compositions.hh.

typedef Realtype<Real >::type concepts::Operator< Real >::r_type [inherited]

Real type of data type.

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

Definition at line 45 of file compositions.hh.

typedef Real concepts::Operator< Real >::type [inherited]

Type of data, e.g. matrix entries.

Definition at line 43 of file compositions.hh.

Constructor & Destructor Documentation

hp3D::SpaceTransition::SpaceTransition	(	const Space &	spaceX,
		const Space &	spaceY
	)

Constructor.

A list of ElementPairs is constructed.

Parameters:

spaceX
spaceY

Member Function Documentation

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

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

Examples:: hpFEM2d-simple.cc, and hpFEM2d.cc.

Definition at line 87 of file compositions.hh.

virtual const uint concepts::Operator< Real >::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.

bool hp3D::SpaceTransition::findChildPath_	(	const int	level,
		const concepts::Hexahedron3d &	large,
		const concepts::Hexahedron3d &	small,
		concepts::Array< uint > &	children
	)		`[private]`

Finds a path from large to small.

The indices of the children which have to be taken are stored in children. If a hit is found, true is returned.

Parameters:

level	Level difference between `large` and `small`
large	Large cell
small	Small cell (is a descendant of `large`)
children	Array to store the path in

virtual std::ostream& hp3D::SpaceTransition::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::Operator< Real >.

virtual void concepts::Operator< Real >::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.

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

virtual void hp3D::SpaceTransition::operator()	(	const concepts::Function< Real > &	fncY,
		concepts::Function< Real > &	fncX
	)		`[virtual]`

void hp3D::SpaceTransition::operator()	(	const concepts::Vector< Real > &	fncY,
		concepts::Vector< Real > &	fncX
	)

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

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

virtual const Space& hp3D::SpaceTransition::spaceX ( ) const [inline, virtual]

Definition at line 50 of file spaceTransition.hh.

virtual const Space& hp3D::SpaceTransition::spaceY ( ) const [inline, virtual]

Definition at line 51 of file spaceTransition.hh.