hp2D::QuadEdgeBase Class Reference

Static class to construct an element hp2D::Edge out of an hp2D::Quad. More...

#include <edge.hh>

Inheritance diagram for hp2D::QuadEdgeBase:

Collaboration diagram for hp2D::QuadEdgeBase:

List of all members.

Public Member Functions
template<class F >
std::pair< hp1D::Element< F > *, concepts::Edge2d * >	edge (const Quad< F > &elm, const ushort k, bool emptyElm=true, hp1D::Element< F > *edge=0)
	Returns the element and the geometrical cell as pair belonging to the k th edge in the quadrilateral element elm.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
virtual Real	weight_ (bool first, bool rho) const =0
	Returns the weight of the contribution of this cell to the edge.
Private Member Functions
bool	edgeDof_ (const ushort *p, const ushort k, const bool rho, const uint dofQuad, uint &dofEdge)
	Compute the index of a dof on an edge.
template<class F >
void	transferDof_ (const ushort *p, const ushort k, const bool rho, const bool first, const concepts::TMatrix< F > &T, hp1D::Element< F > &edge)
	Transfer the quad dof on the particular edge to edge dof.

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Detailed Description

Static class to construct an element hp2D::Edge out of an hp2D::Quad.

The basis functions over the edge might be discontinuous. In derived classes the actual action can be specified, like taken the mean or the jump between the right and left side w.r.t. to the direction of the edge.

Author:

Kersten Schmidt, 2006

Definition at line 46 of file edge.hh.

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Member Function Documentation

template<class F >

std::pair<hp1D::Element<F>*,concepts::Edge2d*> hp2D::QuadEdgeBase::edge	(	const Quad< F > &	elm,
		const ushort	k,
		bool	emptyElm = true,
		hp1D::Element< F > *	edge = 0
	)

Returns the element and the geometrical cell as pair belonging to the k th edge in the quadrilateral element elm.

The polynomial degree and the T matrix are set properly.

The geometrical cell is included in the element as reference, so it has to be deleted after deletion of the element.

If edge is given than degrees of freedom are added by adapting the T-matrix. This is the case when taking trace from both sides of an edge (e.g., mean or jump). In that case the cell is not returned in the pair, i.e., the returned pointer to the cell (Edge2d) is 0.

Parameters:

emptyElm	Incorporate also empty elements (no dof).
edge	Element to which dof are added (adaptation of T-matrix)

bool hp2D::QuadEdgeBase::edgeDof_	(	const ushort *	p,
		const ushort	k,
		const bool	rho,
		const uint	dofQuad,
		uint &	dofEdge
	)		[private]

Compute the index of a dof on an edge.

Parameters:

p	polynomial degrees of quad
k	number of edge, 0 - lower, 1 - right, 2 - upper, 3 - left
dofQuad	index of dof inside quad
dofEdge	index of dof in edge

Returns:

true, if dof is on the particular edge

virtual std::ostream& hp2D::QuadEdgeBase::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in hp2D::QuadEdgeFirst, hp2D::QuadEdgeMean, and hp2D::QuadEdgeJump.

template<class F >

void hp2D::QuadEdgeBase::transferDof_	(	const ushort *	p,
		const ushort	k,
		const bool	rho,
		const bool	first,
		const concepts::TMatrix< F > &	T,
		hp1D::Element< F > &	edge
	)		[private]

Transfer the quad dof on the particular edge to edge dof.

Parameters:

p	polynomial degrees of quad
k	number of edge, 0 - lower, 1 - right, 2 - upper, 3 - left
rho	orientation of the edge inside the quad
first	flag if this is first contribution for this edge
T	T-matrix of quad
edge	the element

virtual Real hp2D::QuadEdgeBase::weight_	(	bool	first,
		bool	rho
	)		const [protected, pure virtual]

Returns the weight of the contribution of this cell to the edge.

Parameters:

first	flag if this is first contribution for this edge
rho	orientation of the edge inside the quad (rho=1: clockwise)

Note, that in neighbouring cells the orientation of the edge is opposite.

Implemented in hp2D::QuadEdgeFirst, hp2D::QuadEdgeMean, and hp2D::QuadEdgeJump.

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

• hp2D/edge.hh