#include <elementMaps.hh>

Inheritance diagram for concepts::VertexTriangle2d:

Public Member Functions
	VertexTriangle2d (Real2d vtx0, Real2d vtx1, Real2d vtx2)

	VertexTriangle2d (const VertexTriangle2d &map)
	Copy constructor.

virtual VertexTriangle2d *	clone () const

virtual bool	straight () const

virtual MapReal2d	jacobian (const Real x, const Real y) const
	Returns the Jacobian in a 2D linear map.

Real2d	operator() (const Real x, const Real y) const

virtual Real	jacobianDeterminant (const Real x, const Real y) const
	Returns determinant of the Jacobian.

virtual MapReal2d	jacobianInverse (const Real x, const Real y) const
	Returns the inverse of the Jacobian in a 2D linear map.

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

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 557 of file elementMaps.hh.

Constructor & Destructor Documentation

◆ VertexTriangle2d()

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 $B = [ (\mbox{vtx1} - \vec b) (\mbox{vtx2} - \mbox{vtx1}) ]$ .

Member Function Documentation

◆ clone()

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.

◆ info()

virtual std::ostream & concepts::VertexTriangle2d::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Map2d.

◆ jacobian()

virtual MapReal2d concepts::VertexTriangle2d::jacobian	(	const Real	x,
		const Real	y
	)		const

inlinevirtual

Returns the Jacobian in a 2D linear map.

Implements concepts::MappingTriangle2d.

Definition at line 580 of file elementMaps.hh.

◆ jacobianDeterminant()

virtual Real concepts::MappingTriangle2d::jacobianDeterminant	(	const Real	x,
		const Real	y
	)		const

virtualinherited

Returns determinant of the Jacobian.

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.

◆ operator()()

Real2d concepts::VertexTriangle2d::operator()	(	const Real	x,
		const Real	y
	)		const

inlinevirtual

Application operator. Maps the point from the parameter domain $\{(\xi,\eta) : 0 \leq \eta \leq \xi \leq 1\}$ onto a triangle in the 2D physical space.