hp1D::DualSpace Class Referenceabstract

Class for a dual space to a continuous FE space on edges. More...

#include <dualSpace.hh>

Inheritance diagram for hp1D::DualSpace:

Public Types
typedef concepts::Scan< BaseElement< Real > >	Scan
typedef Scan< ElementWithCell< Real > >	Scanner
typedef ElementWithCell< Real >	type

Public Member Functions
uint	dim () const
virtual uint	dim () const=0
	Returns the dimension of the space. More...
	DualSpace (Scan *scan)
	Constructor. More...
virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space. More...
uint	nelm () const
virtual uint	nelm () const=0
	Returns the number of elements in the space. More...
void	recomputeShapefunctions ()
	Recompute shape functions, e.g. More...
Scan *	scan () const
virtual Scanner *	scan () const=0
	Returns a scanner to iterate over the elements of the space. More...
virtual	~DualSpace ()

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

Private Attributes
concepts::HashMap< uint >	ctrl0_
	Hash table of the indices of the basis functions related to vertices. More...
uint	dim_
	Dimension of the FE space. More...
concepts::Joiner< BaseElement< Real > *, 1 > *	elm_
	Linked list of the elements. More...
uint	nelm_
	Number of elements currently active in the mesh. More...

Detailed Description

Class for a dual space to a continuous FE space on edges.

The duality is w.r.t. to the L^2-product.

Does not work with hanging nodes. For each element of given polynomial degree p it is assumed that there are (p-1) inner degrees of freedom. If the vertex degrees of freedom are passive (no entry in the T-matrix) there will be no dual function built.

Author

Kersten Schmidt, 2012

Examples

inhomDirichletBCsLagrange.cc.

Definition at line 29 of file dualSpace.hh.

Member Typedef Documentation

Scan

typedef concepts::Scan<BaseElement<Real> > hp1D::DualSpace::Scan

Definition at line 31 of file dualSpace.hh.

Scanner

typedef Scan<ElementWithCell<Real > > concepts::SpaceOnCells< Real >::Scanner

inherited

Definition at line 84 of file space.hh.

type

typedef ElementWithCell<Real > concepts::SpaceOnCells< Real >::type

inherited

Definition at line 83 of file space.hh.

Constructor & Destructor Documentation

DualSpace()

hp1D::DualSpace::DualSpace

(

Scan *

scan

)

Constructor.

Parameters

scan	Scanner of the elements of the original FE space

~DualSpace()

virtual hp1D::DualSpace::~DualSpace ( )

virtual

Member Function Documentation

dim() [1/2]

uint hp1D::DualSpace::dim ( ) const

inline

Examples

inhomDirichletBCsLagrange.cc.

Definition at line 39 of file dualSpace.hh.

dim() [2/2]

virtual uint concepts::SpaceOnCells< Real >::dim ( ) const

pure virtualinherited

Returns the dimension of the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

getOutputDimension()

virtual uint concepts::Space< Real >::getOutputDimension ( ) const

inlinevirtualinherited

Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Definition at line 50 of file space.hh.

info()

virtual std::ostream& hp1D::DualSpace::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented from concepts::SpaceOnCells< Real >.

nelm() [1/2]

uint hp1D::DualSpace::nelm ( ) const

inline

Definition at line 40 of file dualSpace.hh.

nelm() [2/2]

virtual uint concepts::SpaceOnCells< Real >::nelm ( ) const

pure virtualinherited

Returns the number of elements in the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

recomputeShapefunctions()

void hp1D::DualSpace::recomputeShapefunctions

(

)

Recompute shape functions, e.g.

for other abscissas redefined through IntegrableElm::rule().set(...)

scan() [1/2]

Scan* hp1D::DualSpace::scan ( ) const

inline

Definition at line 41 of file dualSpace.hh.

scan() [2/2]

virtual Scanner* concepts::SpaceOnCells< Real >::scan ( ) const

pure virtualinherited

Returns a scanner to iterate over the elements of the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

Member Data Documentation

ctrl0_

concepts::HashMap<uint> hp1D::DualSpace::ctrl0_

private

Hash table of the indices of the basis functions related to vertices.

Definition at line 62 of file dualSpace.hh.

dim_

uint hp1D::DualSpace::dim_

private

Dimension of the FE space.

Definition at line 53 of file dualSpace.hh.

elm_

concepts::Joiner<BaseElement<Real>*, 1>* hp1D::DualSpace::elm_

private

Linked list of the elements.

Definition at line 59 of file dualSpace.hh.

nelm_

uint hp1D::DualSpace::nelm_

private

Number of elements currently active in the mesh.

Definition at line 56 of file dualSpace.hh.

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

• hp1D/dualSpace.hh