hp2Dedge::Edge< F > Class Template Reference

An edge of a 2D FEM edge element quad. More...

#include <quad.hh>

Inheritance diagram for hp2Dedge::Edge< F >:

Collaboration diagram for hp2Dedge::Edge< F >:

List of all members.

Public Types
typedef F	type
Public Member Functions
concepts::Real2d	chi (const Real t) const
	Computes the element map.
Real	diffElement (const Real t) const
	Computes the differential element for integration over [-1,1].
const ushort	direction () const
	Returns direction of edge on reference quad [0,1]^2, 0 - x, 1 - y.
const ushort	edge () const
	Returns number of the edge.
	Edge (const Quad< F > &elm, const ushort k)
	Constructor.
const Quad< F > &	elm () const
	Returns element.
virtual const ElementGraphics < F > *	graphics () const
const concepts::QuadratureRule *	integration () const
	Returns the integration rule.
concepts::MapReal2d	jacobian (const Real t) const
	Computes the Jacobian matrix of element transformation on the edge.
Real	jacobianDeterminant (const Real t) const
	Computes the determinant of the Jacobian.
concepts::MapReal2d	jacobianInverse (const Real t) const
	Computes the inverse of the Jacobian.
concepts::Real2d	localCoords (const Real t) const
	coordinate of point on the edge inside reference element [0,1]^2
const KarniadakisDeriv2 *	shpfct () const
const Real	sign () const
	Returns sign of outer normal vector, e.g. left edge -1, right edge +1.
virtual const concepts::Edge &	support () const
virtual const concepts::TMatrixBase< F > &	T () const
	T-Matrix of the appropiate Quad, not used.
uint &	tag ()
	Returns the tag.
concepts::Real2d	vertex (uint i) const
virtual	~Edge ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
const Quad< F > &	elm_
	The element.
const concepts::QuadratureRule *	int_
	The integration rule.
const ushort	k_
	The number of the edge.
const ushort	l_
	Direction of edge on reference element, 0 - x, 1 - y.
const KarniadakisDeriv2 *	shpfct_
	The shape functions.
const concepts::TMatrixBase< F > *	T_
	T matrix from edge dof to element dof.
concepts::Real	x_
	Local coordinate on the element, perpendicular to edge, e.g.

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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 175 of file quad.hh.

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Member Typedef Documentation

template<class F>

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

Definition at line 53 of file element.hh.

---

Constructor & Destructor Documentation

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

template<class F = Real>

virtual hp2Dedge::Edge< F >::~Edge

(

)

[virtual]

---

Member Function Documentation

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 224 of file quad.hh.

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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 246 of file quad.hh.

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 200 of file quad.hh.

template<class F = Real>

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

(

)

const [inline]

Returns number of the edge.

Definition at line 194 of file quad.hh.

template<class F = Real>

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

(

)

const [inline]

Returns element.

Definition at line 197 of file quad.hh.

template<class F>

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

(

)

const [inline, virtual, inherited]

Reimplemented in concepts::gfem::GfemQuad, concepts::gfem::GfemQuadFast, hp2D::ThinSheetQuad, TriangleP2, bem::Linear3d000< F >, bem::Constant3d000< F >, bem::Constant3d001< F >, bem::Constant3d002< F >, hp1D::Element< F >, hp2D::BaseQuad< F >, hp2D::Quad< F >, hp2D::InfiniteQuad, hp2D::InfiniteLaguerreQuad, hp2Dedge::Quad< F >, hp3D::Hexahedron, linDG2D::Triangle, linDG3D::FvdgElement, linDG3D::FvdgP0TetElem, linDG3D::FvdgP1TetElem, linearFEM::Line, linearFEM::Triangle, linearFEM::Quad, linearFEM::Tetrahedron, vectorial::Element< F >, hp1D::Element< Real >, hp2D::BaseQuad< Real >, and hp2D::Quad< Real >.

Definition at line 62 of file element.hh.

template<class F = Real>

virtual std::ostream& hp2Dedge::Edge< F >::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

template<class F = Real>

const concepts::QuadratureRule* hp2Dedge::Edge< F >::integration

(

)

const [inline]

Returns the integration rule.

Definition at line 211 of file quad.hh.

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 232 of file quad.hh.

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template<class F = Real>

Real hp2Dedge::Edge< F >::jacobianDeterminant

(

const Real

t

)

const [inline]

Computes the determinant of the Jacobian.

Definition at line 242 of file quad.hh.

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template<class F = Real>

concepts::MapReal2d hp2Dedge::Edge< F >::jacobianInverse

(

const Real

t

)

const [inline]

Computes the inverse of the Jacobian.

Definition at line 238 of file quad.hh.

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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 215 of file quad.hh.

template<class F = Real>

const KarniadakisDeriv2* hp2Dedge::Edge< F >::shpfct

(

)

const [inline]

Definition at line 208 of file quad.hh.

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.

template<class F = Real>

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

(

)

const [inline, virtual]

Definition at line 190 of file quad.hh.

template<class F = Real>

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

(

)

const [inline, virtual]

T-Matrix of the appropiate Quad, not used.

Implements concepts::Element< F >.

Definition at line 253 of file quad.hh.

template<class F>

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

(

)

[inline, inherited]

Returns the tag.

Definition at line 65 of file element.hh.

template<class F = Real>

concepts::Real2d hp2Dedge::Edge< F >::vertex

(

uint

i

)

const [inline]

Definition at line 185 of file quad.hh.

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Member Data Documentation

template<class F = Real>

const Quad<F>& hp2Dedge::Edge< F >::elm_ [private]

The element.

Definition at line 258 of file quad.hh.

template<class F = Real>

const concepts::QuadratureRule* hp2Dedge::Edge< F >::int_ [private]

The integration rule.

Definition at line 270 of file quad.hh.

template<class F = Real>

const ushort hp2Dedge::Edge< F >::k_ [private]

The number of the edge.

Definition at line 260 of file quad.hh.

template<class F = Real>

const ushort hp2Dedge::Edge< F >::l_ [private]

Direction of edge on reference element, 0 - x, 1 - y.

Definition at line 262 of file quad.hh.

template<class F = Real>

const KarniadakisDeriv2* hp2Dedge::Edge< F >::shpfct_ [private]

The shape functions.

Definition at line 268 of file quad.hh.

template<class F = Real>

const concepts::TMatrixBase<F>* hp2Dedge::Edge< F >::T_ [private]

T matrix from edge dof to element dof.

Definition at line 272 of file quad.hh.

template<class F = Real>

concepts::Real hp2Dedge::Edge< F >::x_ [private]

Local coordinate on the element, perpendicular to edge, e.g.

on left x_ = 0

Definition at line 266 of file quad.hh.

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

• hp2Dedge/quad.hh