hp3D::Element< F > Class Template Referenceabstract

Abstract class for a 3D FEM element. More...

#include <element.hh>

Inheritance diagram for hp3D::Element< F >:

Public Types
typedef F	type

Public Member Functions
void	appendT (concepts::TColumn< Real > *T)
	Appends the T columns to the T matrix. More...
virtual const concepts::Cell3 &	cell () const =0
	Returns the cell on which the element is built. More...
	Element (concepts::TColumn< Real > *T, const ushort *p)
	Constructor. More...
	Element (concepts::TColumn< Real > *T, uint p)
	Constructor. More...
Real3d	elemMap (const Real coord_local) const
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
virtual bool	operator< (const Element< F > &elm) const =0
	Comparison operator for elements. More...
const ushort *	p () const
	Returns the polynomial degree. More...
virtual const concepts::Connector3 &	support () const =0
	Returns the topolgical support of the element. More...
virtual const concepts::TMatrix< Real > &	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< Real >	T_
	T matrix of the element. More...

Private Attributes
ushort	p_ [3]
	Polynomial degree. More...

Detailed Description

template<class F>
class hp3D::Element< F >

Abstract class for a 3D 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 polynomial degree (ie. hp).

Author

Philipp Frauenfelder, 2001

Definition at line 29 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() [1/2]

template<class F >

hp3D::Element< F >::Element ( concepts::TColumn< Real > *  T, uint  p  )

inline

Constructor.

This constructor initializes an isotropic polynomial degree.

Parameters

T	List of T columns for this element
p	Polynomial degree of this element

Definition at line 36 of file element.hh.

Element() [2/2]

template<class F >

hp3D::Element< F >::Element ( concepts::TColumn< Real > *  T, const ushort *  p  )

inline

Constructor.

This constructor can initialize an anisotropic polynomial degree.

Parameters

T	List of T columns for this element
p	Polynomial degree in the three spatial directions

Definition at line 45 of file element.hh.

Member Function Documentation

appendT()

template<class F >

void hp3D::Element< F >::appendT ( concepts::TColumn< Real > *  T )

inline

Appends the T columns to the T matrix.

Definition at line 62 of file element.hh.

cell()

template<class F >

virtual const concepts::Cell3& hp3D::Element< F >::cell ( ) const

pure virtual

Returns the cell on which the element is built.

Possible are tetrahedrons, hexahedron, prims and pyramids.

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& hp3D::Element< F >::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented in hp3D::Hexahedron.

operator<()

template<class F >

virtual bool hp3D::Element< F >::operator< ( const Element< F > &  elm ) const

pure virtual

Comparison operator for elements.

Implemented in hp3D::Hexahedron.

p()

template<class F >

const ushort* hp3D::Element< F >::p ( ) const

inline

Returns the polynomial degree.

The returned array has 3 elements.

Definition at line 51 of file element.hh.

support()

template<class F >

virtual const concepts::Connector3& hp3D::Element< F >::support ( ) const

pure virtual

Returns the topolgical support of the element.

Possible supports for an element are hexahedrons, tetrahedrons, prisms and pyramids.

T()

template<class F >

virtual const concepts::TMatrix<Real>& hp3D::Element< F >::T ( ) const

inlinevirtual

Returns the T matrix of the element.

Implements concepts::ElementWithCell< F >.

Definition at line 59 of file element.hh.

vertex()

template<class F >

virtual concepts::Real3d hp3D::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 hp3D::Hexahedron.

Member Data Documentation

p_

template<class F >

ushort hp3D::Element< F >::p_[3]

private

Polynomial degree.

Definition at line 84 of file element.hh.

T_

template<class F >

concepts::TMatrix<Real> hp3D::Element< F >::T_

protected

T matrix of the element.

Definition at line 81 of file element.hh.

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

• hp3D/element.hh