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

#include <elementMaps.hh>

Inheritance diagram for concepts::MappingTriangle2d:

Public Member Functions
virtual MappingTriangle2d *	clone () const =0
	Creates a clone of itself and returns it. More...

std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

virtual MapReal2d	jacobian (const Real x, const Real y) const =0
	Returns the Jacobian in a 2D linear map. More...

virtual Real	jacobianDeterminant (const Real x, const Real y) const
	Returns true if the resulting triangle has curved edges. More...

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

virtual Real2d	operator() (const Real x, const Real y) const =0
	Application operator. More...

virtual bool	straight () const

Detailed Description

A 2D element map for a triangle.

The parameter domain is the triangle $\{(\xi,\eta) : 0 \leq \eta \leq \xi \leq 1\}$ .

Author: Philipp Frauenfelder, 2001.

Definition at line 520 of file elementMaps.hh.

Member Function Documentation

◆ clone()

virtual MappingTriangle2d* concepts::MappingTriangle2d::clone ( ) const

pure virtual

Creates a clone of itself and returns it.

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

Implemented in concepts::MapTriangle2d, and concepts::VertexTriangle2d.

◆ info()

std::ostream& concepts::Map2d::info ( std::ostream & os ) const

inlinevirtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in concepts::InverseVertexQuadSector2d, concepts::PartMappingQuad2d, concepts::BlendingQuad2d, concepts::VertexQuad2d, concepts::MapQuad2d, concepts::MappingQuad2d, concepts::MapTriangle2d, and concepts::VertexTriangle2d.

Definition at line 36 of file elementMaps.hh.

◆ jacobian()

virtual MapReal2d concepts::MappingTriangle2d::jacobian	(	const Real	x,
		const Real	y
	)		const

pure virtual

Returns the Jacobian in a 2D linear map.

Implemented in concepts::MapTriangle2d, and concepts::VertexTriangle2d.

◆ jacobianDeterminant()

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

virtual

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

◆ jacobianInverse()

virtual MapReal2d concepts::MappingTriangle2d::jacobianInverse	(	const Real	x,
		const Real	y
	)		const

virtual

Returns the inverse of the Jacobian in a 2D linear map.

◆ operator()()

virtual Real2d concepts::MappingTriangle2d::operator()	(	const Real	x,
		const Real	y
	)		const

pure virtual

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.

Implemented in concepts::MapTriangle2d, and concepts::VertexTriangle2d.

◆ straight()

virtual bool concepts::Map2d::straight ( ) const

inlinevirtualinherited

Reimplemented in concepts::VertexQuad2d, and concepts::VertexTriangle2d.

Definition at line 37 of file elementMaps.hh.

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

geometry/elementMaps.hh

concepts::MappingTriangle2d Class Referenceabstract

Public Member Functions

Detailed Description

Member Function Documentation

◆ clone()

◆ info()

◆ jacobian()

◆ jacobianDeterminant()

◆ jacobianInverse()

◆ operator()()

◆ straight()