hp2Dedge::Edge< F > Class Template Reference

#include <quad.hh>

Inheritance diagram for hp2Dedge::Edge< F >:

Public Types
typedef F	type

Public Member Functions
	Edge (const Quad< F > &elm, const ushort k)
concepts::Real2d	vertex (uint i) const
virtual const concepts::Edge &	support () const
const ushort	edge () const
	Returns number of the edge.
const Quad< F > &	elm () const
	Returns element.
const ushort	direction () const
	Returns direction of edge on reference quad [0,1]^2, 0 - x, 1 - y.
const Real	sign () const
	Returns sign of outer normal vector, e.g. left edge -1, right edge +1.
const hp2D::KarniadakisDeriv2 *	shpfct () const
const concepts::QuadratureRule1d *	integration () const
	Returns the integration rule.
concepts::Real2d	localCoords (const Real t) const
	coordinate of point on the edge inside reference element [0,1]^2
concepts::Real2d	chi (const Real t) const
concepts::MapReal2d	jacobian (const Real t) const
concepts::MapReal2d	jacobianInverse (const Real t) const
	Computes the inverse of the Jacobian.
Real	jacobianDeterminant (const Real t) const
	Computes the determinant of the Jacobian.
Real	diffElement (const Real t) const
	Computes the differential element for integration over [-1,1].
virtual const concepts::TMatrixBase< F > &	T () const
	T-Matrix of the appropiate Quad, not used.
virtual const ElementGraphics< F > *	graphics () const
uint &	tag ()
	Returns the tag.

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

template<class F = Real>
class hp2Dedge::Edge< F >

An edge of a 2D FEM edge element quad.

Useful for integration over the edge, in a bilinearform or linearform. E.g. hp2Dedge::Dirichlet need it to calculate the local coefficients.

Definition at line 162 of file quad.hh.

Member Typedef Documentation

type

template<class F >

typedef F concepts::Element< F >::type

inherited

Definition at line 54 of file element.hh.

Constructor & Destructor Documentation

Edge()

template<class F = Real>

hp2Dedge::Edge< F >::Edge	(	const Quad< F > &	elm,
		const ushort	k
	)

Constructor

Parameters

elm	element, on which the edge lies
k	number of edge, 0 - left, 1 - upper, 2 - right, 3 - bottom

Member Function Documentation

chi()

template<class F = Real>

concepts::Real2d hp2Dedge::Edge< F >::chi ( const Real  t ) const

inline

Computes the element map. The reference element is [0,1]

Definition at line 232 of file quad.hh.

diffElement()

template<class F = Real>

Real hp2Dedge::Edge< F >::diffElement ( const Real  t ) const

inline

Computes the differential element for integration over [-1,1].

Definition at line 260 of file quad.hh.

direction()

template<class F = Real>

const ushort hp2Dedge::Edge< F >::direction ( ) const

inline

Returns direction of edge on reference quad [0,1]^2, 0 - x, 1 - y.

Definition at line 197 of file quad.hh.

edge()

template<class F = Real>

const ushort hp2Dedge::Edge< F >::edge ( ) const

inline

Returns number of the edge.

Definition at line 185 of file quad.hh.

elm()

template<class F = Real>

const Quad< F > & hp2Dedge::Edge< F >::elm ( ) const

inline

Returns element.

Definition at line 191 of file quad.hh.

graphics()

template<class F >

virtual const ElementGraphics< F > * concepts::Element< F >::graphics ( ) const

inlinevirtualinherited

Reimplemented in hp1D::BaseElement< F >, hp1D::BaseElement< Real >, hp2D::Quad< F >, hp2D::Quad< H >, hp2D::Quad< Real >, hp2Dedge::Quad< F >, linDG2D::Triangle, linDG3D::FvdgP0TetElem, linDG3D::FvdgP1TetElem, hp2D::BaseQuad< F >, linDG3D::FvdgElement, hp2D::BaseQuad< H >, and hp2D::BaseQuad< Real >.

Definition at line 63 of file element.hh.

info()

template<class F = Real>

virtual std::ostream & hp2Dedge::Edge< F >::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

integration()

template<class F = Real>

const concepts::QuadratureRule1d * hp2Dedge::Edge< F >::integration ( ) const

inline

Returns the integration rule.

Definition at line 216 of file quad.hh.

jacobian()

template<class F = Real>

concepts::MapReal2d hp2Dedge::Edge< F >::jacobian ( const Real  t ) const

inline

Computes the Jacobian matrix of element transformation on the edge

Definition at line 241 of file quad.hh.

jacobianDeterminant()

template<class F = Real>

Real hp2Dedge::Edge< F >::jacobianDeterminant ( const Real  t ) const

inline

Computes the determinant of the Jacobian.

Definition at line 254 of file quad.hh.

jacobianInverse()

template<class F = Real>

concepts::MapReal2d hp2Dedge::Edge< F >::jacobianInverse ( const Real  t ) const

inline

Computes the inverse of the Jacobian.

Definition at line 248 of file quad.hh.

localCoords()

template<class F = Real>

concepts::Real2d hp2Dedge::Edge< F >::localCoords ( const Real  t ) const

inline

coordinate of point on the edge inside reference element [0,1]^2

Definition at line 222 of file quad.hh.

shpfct()

template<class F = Real>

const hp2D::KarniadakisDeriv2 * hp2Dedge::Edge< F >::shpfct ( ) const

inline

Definition at line 211 of file quad.hh.

sign()

template<class F = Real>

const Real hp2Dedge::Edge< F >::sign ( ) const

inline

Returns sign of outer normal vector, e.g. left edge -1, right edge +1.

Definition at line 203 of file quad.hh.

support()

template<class F = Real>

virtual const concepts::Edge & hp2Dedge::Edge< F >::support ( ) const

inlinevirtual

Definition at line 179 of file quad.hh.

T()

template<class F = Real>

virtual const concepts::TMatrixBase< F > & hp2Dedge::Edge< F >::T ( ) const

inlinevirtual

T-Matrix of the appropiate Quad, not used.

Implements concepts::Element< F >.

Definition at line 268 of file quad.hh.

tag()

template<class F >

uint & concepts::Element< F >::tag ( )

inlineinherited

Returns the tag.

Definition at line 66 of file element.hh.

vertex()

template<class F = Real>

concepts::Real2d hp2Dedge::Edge< F >::vertex ( uint  i ) const

inline

Definition at line 173 of file quad.hh.

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

• hp2Dedge/bf_graduv.hh
• hp2Dedge/quad.hh