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

#include <spaceTransition.hh>

Inheritance diagram for hp3D::SpaceTransition:
concepts::Operator< Real >

Public Types

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

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) 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< Real > &fncY, concepts::Function< Real > &fncX)
 
void operator() (const concepts::Vector< Real > &fncY, concepts::Vector< Real > &fncX)
 
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< Real > &fncX)
 Application operator for real function fncY. More...
 
virtual void show_messages ()
 
 SpaceTransition (const Space &spaceX, const Space &spaceY)
 Constructor. More...
 
virtual const SpacespaceX () const
 
virtual const SpacespaceY () const
 

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 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. More...
 

Private Attributes

concepts::ElementPairList< Real > elmPairs_
 List of element pairs. More...
 
const SpacespcX_
 The spaces. More...
 
const SpacespcY_
 

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 42 of file spaceTransition.hh.

Member Typedef Documentation

◆ c_type

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

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ r_type

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

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ type

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

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ SpaceTransition()

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

Constructor.

A list of ElementPairs is constructed.

Parameters
spaceX
spaceY

Member Function Documentation

◆ dimX()

virtual const uint concepts::Operator< Real >::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()

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

◆ findChildPath_()

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
levelLevel difference between large and small
largeLarge cell
smallSmall cell (is a descendant of large)
childrenArray to store the path in

◆ info()

virtual std::ostream& hp3D::SpaceTransition::info ( std::ostream &  os) const
protectedvirtual

Reimplemented from concepts::Operator< Real >.

◆ operator()() [1/5]

virtual void concepts::Operator< Real >::operator() ( )
virtualinherited

Application operator without argument.

Reimplemented in concepts::VecOperator< Real >.

◆ operator()() [2/5]

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

◆ operator()() [3/5]

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

◆ operator()() [4/5]

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

◆ operator()() [5/5]

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

◆ show_messages()

virtual void concepts::Operator< Real >::show_messages ( )
inlinevirtualinherited

Definition at line 100 of file compositions.hh.

◆ spaceX()

virtual const Space& hp3D::SpaceTransition::spaceX ( ) const
inlinevirtual

Definition at line 53 of file spaceTransition.hh.

◆ spaceY()

virtual const Space& hp3D::SpaceTransition::spaceY ( ) const
inlinevirtual

Definition at line 54 of file spaceTransition.hh.

Member Data Documentation

◆ dimX_

uint concepts::Operator< Real >::dimX_
protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

uint concepts::Operator< Real >::dimY_
protectedinherited

Definition at line 104 of file compositions.hh.

◆ elmPairs_

concepts::ElementPairList<Real> hp3D::SpaceTransition::elmPairs_
private

List of element pairs.

Definition at line 61 of file spaceTransition.hh.

◆ spcX_

const Space& hp3D::SpaceTransition::spcX_
private

The spaces.

Definition at line 59 of file spaceTransition.hh.

◆ spcY_

const Space & hp3D::SpaceTransition::spcY_
private

Definition at line 59 of file spaceTransition.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