Tetrahedral element with linear shapefunctions. More...

#include <element.hh>

Inheritance diagram for linDG3D::FvdgP1TetElem:

Collaboration diagram for linDG3D::FvdgP1TetElem:

Public Types
typedef Real	type
Public Member Functions
virtual const concepts::Tetrahedron3d &	cell () const
	Returns the geometrical cell of this element.
concepts::Real3d	edgeCenter (uint edgeIdx) const
	Returns the real world coordinates of the center of the edge with index `edgeIdx`.
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
Real3d	elemMap (const Real coord_local) const
	FvdgP1TetElem (const concepts::Tetrahedron3d &cell, uint idx[])
	Constructor.
const concepts::ElementGraphics < Real > *	graphics () const
	Returns the graphics object for the element.
Real	shapeFct (const uint fctIdx, const concepts::Real3d xi) const
	Shape function.
Real	shapeFctEdgeCenter (const uint fctIdx, const uint edgeIdx) const
	Shapefunction at edge center.
concepts::Real3d	shapeFctGradient (const uint fctIdx) const
	Gradient of shape function.
Real	shapeFctVertex (const uint fctIdx, const uint vtxIdx) const
	Shapefunction at vertex.
Real	solution (const concepts::Vector< Real > &sol, const concepts::Real3d xi) const
	Returns the value of the solution `sol` at the reference element coordinate `xi`.
Real	solutionEdgeCenter (const concepts::Vector< Real > &sol, const uint edgeIdx) const
	Returns the value of the solution `sol` at the center of edge `edgeIdx` of this tetrahedron.
Real	solutionVertex (const concepts::Vector< Real > &sol, const uint vertexIdx) const
	Returns the value of the solution `sol` at vertex `vertexIdx` of this tetrahedron.
const concepts::Tetrahedron &	support () const
	Returns the topological support of this element.
const concepts::TMatrixBase < Real > &	T () const
	Returns the T matrix of this element.
uint &	tag ()
	Returns the tag.
const concepts::Real3d	vertex (const uint i) const
	Returns the vertex with local index `i` in this element.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns cell and T matrix of this element.
Protected Attributes
const concepts::Tetrahedron3d &	cell_
std::auto_ptr < concepts::TMatrixBase< Real > >	T_
Static Protected Attributes
static Real	eta_ [6][3]
static std::auto_ptr < FvdgP1TetGraphics >	graphics_
	Graphics object of the element.
static uint	nonVanishingNbr_ [6]
	Number of non vanishing shape function at edge centers.
static Real	nonVanishingSign_ [6]
	Value of non vanishing shape function at edge centers.
static Real	shapeFctEdgeCenter_ [6][4]
	Values of shape functions at edge centers.
static Real	shapeFctGradient_ [3][4]
	Values of shape function gradients.
static Real	shapeFctVertex_ [4][4]
	Values of shape functions at vertices.

Detailed Description

Tetrahedral element with linear shapefunctions.

Author:: Christoph Winkelmann, 2002

Definition at line 177 of file element.hh.

Member Typedef Documentation

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

Definition at line 53 of file element.hh.

Constructor & Destructor Documentation

linDG3D::FvdgP1TetElem::FvdgP1TetElem	(	const concepts::Tetrahedron3d &	cell,
		uint	idx[]
	)

Constructor.

Creates a T matrix of type TIndex from idx.

Parameters:

cell	The Cell the element lives on
idx	Describes the map local / global dof

Member Function Documentation

virtual const concepts::Tetrahedron3d& linDG3D::FvdgElement::cell ( ) const [inline, virtual, inherited]

Returns the geometrical cell of this element.

Implements concepts::ElementWithCell< Real >.

Definition at line 42 of file element.hh.

concepts::Real3d linDG3D::FvdgElement::edgeCenter ( uint edgeIdx ) const [inherited]

Returns the real world coordinates of the center of the edge with index edgeIdx.

Parameters:

edgeIdx Edge index

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real2d & coord_local ) const [inline, inherited]

Definition at line 87 of file element.hh.

Here is the call graph for this function:

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real3d & coord_local ) const [inline, inherited]

Definition at line 91 of file element.hh.

Here is the call graph for this function:

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real coord_local ) const [inline, inherited]

Definition at line 83 of file element.hh.

Here is the call graph for this function:

const concepts::ElementGraphics<Real>* linDG3D::FvdgP1TetElem::graphics ( ) const [virtual]

Returns the graphics object for the element.

Implements linDG3D::FvdgElement.

virtual std::ostream& linDG3D::FvdgP1TetElem::info ( std::ostream & os ) const [protected, virtual]

Returns cell and T matrix of this element.

Reimplemented from linDG3D::FvdgElement.

Real linDG3D::FvdgP1TetElem::shapeFct	(	const uint	fctIdx,
		const concepts::Real3d	xi
	)		const `[virtual]`

Shape function.

Returns the value of a shape function

Parameters:

fctIdx	number of the shape function
xi	reference coordinate to evaluate the shape function at

Implements linDG3D::FvdgElement.

Real linDG3D::FvdgP1TetElem::shapeFctEdgeCenter	(	const uint	fctIdx,
		const uint	edgeIdx
	)		const `[inline, virtual]`

Shapefunction at edge center.

Returns the value of shape function fctIdx at center of edge edgeIdx of this tetrahedron

Parameters:

fctIdx	number of the shape function
edgeIdx	number of edge

Implements linDG3D::FvdgElement.

Definition at line 194 of file element.hh.

concepts::Real3d linDG3D::FvdgP1TetElem::shapeFctGradient ( const uint fctIdx ) const [virtual]

Gradient of shape function.

Returns the gradient of shape function fctIdx

Parameters:

fctIdx number of the shape function

Implements linDG3D::FvdgElement.

Real linDG3D::FvdgP1TetElem::shapeFctVertex	(	const uint	fctIdx,
		const uint	vtxIdx
	)		const `[inline, virtual]`

Shapefunction at vertex.

Returns the value of shape function fctIdx at vertex vtxIdx of this tetrahedron

Parameters:

fctIdx	number of the shape function
vtxIdx	number of vertex

Implements linDG3D::FvdgElement.

Definition at line 204 of file element.hh.

Real linDG3D::FvdgElement::solution	(	const concepts::Vector< Real > &	sol,
		const concepts::Real3d	xi
	)		const `[inherited]`

Returns the value of the solution sol at the reference element coordinate xi.

Parameters:

sol	solution vector
xi	reference element coordinate to get solution at

Real linDG3D::FvdgP1TetElem::solutionEdgeCenter	(	const concepts::Vector< Real > &	sol,
		const uint	edgeIdx
	)		const `[virtual]`

Returns the value of the solution sol at the center of edge edgeIdx of this tetrahedron.

Parameters:

sol	solution vector
edgeIdx	number of edge

Implements linDG3D::FvdgElement.

Real linDG3D::FvdgP1TetElem::solutionVertex	(	const concepts::Vector< Real > &	sol,
		const uint	vertexIdx
	)		const `[virtual]`

Returns the value of the solution sol at vertex vertexIdx of this tetrahedron.

Parameters:

sol	solution vector
vertexIdx	number of vertex

Implements linDG3D::FvdgElement.

const concepts::Tetrahedron& linDG3D::FvdgElement::support ( ) const [inline, inherited]

Returns the topological support of this element.

Definition at line 34 of file element.hh.

Here is the call graph for this function:

const concepts::TMatrixBase<Real>& linDG3D::FvdgElement::T ( ) const [inline, virtual, inherited]

Returns the T matrix of this element.

Implements concepts::Element< Real >.

Definition at line 36 of file element.hh.

uint& concepts::Element< Real >::tag ( ) [inline, inherited]

Returns the tag.

Definition at line 65 of file element.hh.

const concepts::Real3d linDG3D::FvdgElement::vertex ( const uint i ) const [inline, inherited]

Returns the vertex with local index i in this element.

Definition at line 38 of file element.hh.

Here is the call graph for this function:

Member Data Documentation

const concepts::Tetrahedron3d& linDG3D::FvdgElement::cell_ [protected, inherited]

Definition at line 101 of file element.hh.

Real linDG3D::FvdgElement::eta_[6][3] [static, protected, inherited]

Definition at line 102 of file element.hh.

std::auto_ptr<FvdgP1TetGraphics> linDG3D::FvdgP1TetElem::graphics_ [static, protected]

Graphics object of the element.

Definition at line 244 of file element.hh.

uint linDG3D::FvdgP1TetElem::nonVanishingNbr_[6] [static, protected]

Number of non vanishing shape function at edge centers.

Definition at line 238 of file element.hh.

Real linDG3D::FvdgP1TetElem::nonVanishingSign_[6] [static, protected]

Value of non vanishing shape function at edge centers.

Definition at line 240 of file element.hh.

Real linDG3D::FvdgP1TetElem::shapeFctEdgeCenter_[6][4] [static, protected]

Values of shape functions at edge centers.

Definition at line 234 of file element.hh.

Real linDG3D::FvdgP1TetElem::shapeFctGradient_[3][4] [static, protected]

Values of shape function gradients.

Definition at line 236 of file element.hh.

Real linDG3D::FvdgP1TetElem::shapeFctVertex_[4][4] [static, protected]

Values of shape functions at vertices.

Definition at line 242 of file element.hh.

std::auto_ptr<concepts::TMatrixBase<Real> > linDG3D::FvdgElement::T_ [protected, inherited]

Definition at line 100 of file element.hh.

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

linDG3D/element.hh

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation