hp2D::QuadEdgeBase Class Referenceabstract

Static class to construct an element hp1D::Element out of an hp2D::Quad. More...

#include <edge.hh>

Inheritance diagram for hp2D::QuadEdgeBase:

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. More...
	QuadEdgeBase (const concepts::EdgeNormalVectorRule &normalVectorRule=concepts::EdgeNormalVectorRule())
	Constructor. More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...
virtual Real	weight_ (bool first, Z2 dir) const =0
	Returns the weight of the contribution of this cell to the edge. More...

Protected Attributes
std::unique_ptr< const concepts::EdgeNormalVectorRule >	normalVectorRule_
	Rule for defining the direction of the normal vector for new edges. More...

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. More...
template<class F >
void	transferDof_ (const ushort *p, const ushort k, const bool rho, const bool first, const Z2 dir, const concepts::TMatrix< F > &T, hp1D::Element< F > &edge)
	Transfer the quad dof on the particular edge to edge dof. More...

Detailed Description

Static class to construct an element hp1D::Element 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 48 of file edge.hh.

Constructor & Destructor Documentation

QuadEdgeBase()

hp2D::QuadEdgeBase::QuadEdgeBase ( const concepts::EdgeNormalVectorRule &  normalVectorRule = concepts::EdgeNormalVectorRule() )

inline

Constructor.

Parameters

normalVectorRule

Rule for defining the direction of the normal vector for new edges

Definition at line 55 of file edge.hh.

Member Function Documentation

edge()

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)

edgeDof_()

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 on edge (in local coordinate system of the edge)

Returns

true, if dof is on the particular edge

info()

virtual std::ostream& hp2D::QuadEdgeBase::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

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

transferDof_()

template<class F >

void hp2D::QuadEdgeBase::transferDof_ ( const ushort *  p, const ushort  k, const bool  rho, const bool  first, const Z2  dir, 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
dir	direction of the normal vector looking from the cell dir = 0 : outwards pointing dir = 1 : inwards pointing
first	flag if this is first contribution for this edge
T	T-matrix of quad
edge	the element

weight_()

virtual Real hp2D::QuadEdgeBase::weight_ ( bool  first, Z2  dir  ) const

protectedpure virtual

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

Parameters

first	flag if this is first contribution for this edge
dir	direction of the normal vector looking from the cell dir = 0 : outwards pointing dir = 1 : inwards pointing

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

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

Member Data Documentation

normalVectorRule_

std::unique_ptr<const concepts::EdgeNormalVectorRule> hp2D::QuadEdgeBase::normalVectorRule_

protected

Rule for defining the direction of the normal vector for new edges.

Definition at line 85 of file edge.hh.

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

• hp2D/edge.hh