hp2D::Element< F > Class Template Referenceabstract

Abstract class for a 2D FEM element. More...

#include <element.hh>

Inheritance diagram for hp2D::Element< F >:

Public Types
typedef F	type

Public Member Functions
void	appendT (concepts::TColumn< F > *T)
	Appends the T columns to the T matrix. More...
virtual const concepts::Cell2 &	cell () const =0
	Returns the cell on which the element is built. More...
	Element (concepts::TColumn< F > *T)
	Constructor. More...
Real3d	elemMap (const Real coord_local) const
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
virtual const concepts::Connector2 &	support () const =0
	Returns the topological support of the element. More...
virtual const concepts::TMatrix< F > &	T () const
	Returns the T matrix of the element. More...
virtual concepts::Real3d	vertex (uint i) const =0
	Returns the coordinates of the ith vertex of this element. More...

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

Protected Attributes
concepts::TMatrix< F >	T_
	T matrix of the element. More...

Detailed Description

template<class F>
class hp2D::Element< F >

Abstract class for a 2D FEM element.

All FEM elements have to be derived from this class. It prescribes the interface for querying the support of the element and it has a polynomials degree (ie. hp).

Author

Philipp Frauenfelder, 2001

Definition at line 28 of file element.hh.

Member Typedef Documentation

type

template<typename F >

typedef F concepts::ElementWithCell< F >::type

inherited

Definition at line 81 of file element.hh.

Constructor & Destructor Documentation

Element()

template<class F >

hp2D::Element< F >::Element ( concepts::TColumn< F > *  T )

inline

Constructor.

Parameters

T	List of T columns for this element

Definition at line 33 of file element.hh.

Member Function Documentation

appendT()

template<class F >

void hp2D::Element< F >::appendT ( concepts::TColumn< F > *  T )

inline

Appends the T columns to the T matrix.

Definition at line 43 of file element.hh.

cell()

template<class F >

virtual const concepts::Cell2& hp2D::Element< F >::cell ( ) const

pure virtual

Returns the cell on which the element is built.

Implements concepts::ElementWithCell< F >.

elemMap() [1/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real  coord_local ) const

inlineinherited

Definition at line 86 of file element.hh.

elemMap() [2/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real2d &  coord_local ) const

inlineinherited

Definition at line 90 of file element.hh.

elemMap() [3/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real3d &  coord_local ) const

inlineinherited

Definition at line 94 of file element.hh.

info()

template<class F >

virtual std::ostream& hp2D::Element< F >::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented in hp2D::InfiniteLaguerreQuad, and hp2D::InfiniteQuad.

support()

template<class F >

virtual const concepts::Connector2& hp2D::Element< F >::support ( ) const

pure virtual

Returns the topological support of the element.

Possible supports for an element are quadrilaterals and triangles.

T()

template<class F >

virtual const concepts::TMatrix<F>& hp2D::Element< F >::T ( ) const

inlinevirtual

Returns the T matrix of the element.

Implements concepts::ElementWithCell< F >.

Definition at line 40 of file element.hh.

vertex()

template<class F >

virtual concepts::Real3d hp2D::Element< F >::vertex ( uint  i ) const

pure virtual

Returns the coordinates of the ith vertex of this element.

Parameters

i	Index of the vertex

Implemented in hp2D::InfiniteQuad.

Member Data Documentation

T_

template<class F >

concepts::TMatrix<F> hp2D::Element< F >::T_

protected

T matrix of the element.

Definition at line 57 of file element.hh.

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

• hp2D/element.hh