A 2D element map for a triangle. More...

#include <elementMaps.hh>

Inheritance diagram for concepts::VertexTriangle2d:

Collaboration diagram for concepts::VertexTriangle2d:

Public Member Functions
virtual VertexTriangle2d *	clone () const
	Creates a clone of itself and returns it.
virtual MapReal2d	jacobian (const Real x, const Real y) const
	Returns the Jacobian in a 2D linear map.
virtual Real	jacobianDeterminant (const Real x, const Real y) const
	Returns true if the resulting triangle has curved edges.
virtual MapReal2d	jacobianInverse (const Real x, const Real y) const
	Returns the inverse of the Jacobian in a 2D linear map.
Real2d	operator() (const Real x, const Real y) const
	Application operator.
virtual bool	straight () const
	Returns true if the resulting triangle has straight edges.
	VertexTriangle2d (const VertexTriangle2d &map)
	Copy constructor.
	VertexTriangle2d (Real2d vtx0, Real2d vtx1, Real2d vtx2)
	Constructor.
virtual	~VertexTriangle2d ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
MapReal2d	jacobian_
	Jacobian.
Real2d	vtx0_
	Vertices of the triangle.
Real2d	vtx1_
Real2d	vtx2_

Detailed Description

A 2D element map for a triangle.

The map is specified by the three vertices.

Author:: Philipp Frauenfelder, 2001.

Examples:: meshes.cc.

Definition at line 552 of file elementMaps.hh.

Constructor & Destructor Documentation

concepts::VertexTriangle2d::VertexTriangle2d	(	Real2d	vtx0,
		Real2d	vtx1,
		Real2d	vtx2
	)

Constructor.

Takes the three physical corners of the triangle and computes the element map: $F_K : S \rightarrow K$ with $\vec x = F_K(\xi) = B \cdot \vec \xi + \vec b$ , where $\vec b = \mbox{vtx0}$ and $B = [ (\mbox{vtx1} - \vec b) (\mbox{vtx2} - \mbox{vtx1}) ]$ .

concepts::VertexTriangle2d::VertexTriangle2d ( const VertexTriangle2d & map )

Copy constructor.

virtual concepts::VertexTriangle2d::~VertexTriangle2d ( ) [virtual]

Member Function Documentation

virtual VertexTriangle2d* concepts::VertexTriangle2d::clone ( ) const [virtual]

Creates a clone of itself and returns it.

This clone function implements a virtual constructor (cf. Stroustrup p. 424).

Implements concepts::MappingTriangle2d.

virtual std::ostream& concepts::VertexTriangle2d::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::Map2d.

virtual MapReal2d concepts::VertexTriangle2d::jacobian	(	const Real	x,
		const Real	y
	)		const `[inline, virtual]`

Returns the Jacobian in a 2D linear map.

Implements concepts::MappingTriangle2d.

Definition at line 575 of file elementMaps.hh.

virtual Real concepts::MappingTriangle2d::jacobianDeterminant	(	const Real	x,
		const Real	y
	)		const `[virtual, inherited]`

Returns true if the resulting triangle has curved edges.

In this case the integration routines have to take into account that the Jacobian is changing. Otherwise, the Jacobian is a constant. Returns determinant of the Jacobian