concepts::MappingEdge2d Class Referenceabstract

A 2D element map for an edge. More...

#include <elementMaps.hh>

Inheritance diagram for concepts::MappingEdge2d:

Public Member Functions
virtual MappingEdge2d *	clone () const =0
	Virtual copy constructor. More...
virtual Real	curvature (const Real t, uint n=0) const
	Returns the n-th derivative of the curvature. More...
virtual Real2d	derivative (const Real t, const uint n=1) const =0
	Returns the n-th derivative. More...
virtual MappingEdge2d *	inverse () const
	Returns the mapping of the edge in inverse direction. More...
	MappingEdge2d (const MappingEdge2d &edgemap)
	Copy Constructor. More...
	MappingEdge2d (const Real2d vtx0, const Real2d vtx1)
	Constructor. More...
Real2d	n0 (const Real t) const
	Returns the normalised right normal vector. More...
virtual Real2d	normal (const Real t) const
	Returns the right normal vector, length is that of the derivative. More...
virtual Real2d	operator() (const Real t) const =0
	Application operator. More...
virtual MappingEdge2d *	part (const Real t0, const Real t1) const
	Returns a new object of an element map for a rectangular part of the reference cell defined by the two points. More...
const Real2d &	vtx (uint i) const
	Spit out one vertex of the edge. More...

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

Protected Attributes
Real2d	vtx_ [2]
	Coordinates of the vertices at either end of the edge. More...

Detailed Description

A 2D element map for an edge.

The parameter domain is the unit intervall [0,1].

Abstract class. In derived classes for curved edges operator() and jacobian() has to be implemented.

Author

, Kersten Schmidt, 2004

Definition at line 84 of file elementMaps.hh.

Constructor & Destructor Documentation

MappingEdge2d() [1/2]

concepts::MappingEdge2d::MappingEdge2d	(	const Real2d	vtx0,
		const Real2d	vtx1
	)

Constructor.

Parameters

vtx0,vtx1

coordinates of the vertices

MappingEdge2d() [2/2]

concepts::MappingEdge2d::MappingEdge2d

(

const MappingEdge2d &

edgemap

)

Copy Constructor.

Member Function Documentation

clone()

virtual MappingEdge2d* concepts::MappingEdge2d::clone ( ) const

pure virtual

Virtual copy constructor.

Implements concepts::Cloneable.

Implemented in concepts::MappingQuadEdge2d, concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

curvature()

virtual Real concepts::MappingEdge2d::curvature ( const Real  t, uint  n = 0  ) const

virtual

Returns the n-th derivative of the curvature.

It's implemented in general for n = 0,1 and works with curved edges. Can be overwritten in derived classes for performance reasons.

Reimplemented in concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, concepts::MappingParallelEdge2d, and concepts::CircleMappingEdge2d.

derivative()

virtual Real2d concepts::MappingEdge2d::derivative ( const Real  t, const uint  n = 1  ) const

pure virtual

Returns the n-th derivative.

Implemented in concepts::MappingQuadEdge2d, concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

info()

virtual std::ostream& concepts::MappingEdge2d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Map1d.

Reimplemented in concepts::MappingQuadEdge2d, concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

inverse()

virtual MappingEdge2d* concepts::MappingEdge2d::inverse ( ) const

virtual

Returns the mapping of the edge in inverse direction.

Reimplemented in concepts::MappingQuadEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

n0()

Real2d concepts::MappingEdge2d::n0 ( const Real  t ) const

inline

Returns the normalised right normal vector.

Definition at line 107 of file elementMaps.hh.

normal()

virtual Real2d concepts::MappingEdge2d::normal ( const Real  t ) const

virtual

Returns the right normal vector, length is that of the derivative.

operator()()

virtual Real2d concepts::MappingEdge2d::operator() ( const Real  t ) const

pure virtual

Application operator.

Maps the point from the parameter domain onto the physical space.

Implemented in concepts::MappingQuadEdge2d, concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

part()

virtual MappingEdge2d* concepts::MappingEdge2d::part ( const Real  t0, const Real  t1  ) const

virtual

Returns a new object of an element map for a rectangular part of the reference cell defined by the two points.

Reimplemented in concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, and concepts::InverseMappingEdge2d.

vtx()

const Real2d& concepts::MappingEdge2d::vtx ( uint  i ) const

inline

Spit out one vertex of the edge.

Definition at line 124 of file elementMaps.hh.

Member Data Documentation

vtx_

Real2d concepts::MappingEdge2d::vtx_[2]

protected

Coordinates of the vertices at either end of the edge.

Definition at line 128 of file elementMaps.hh.

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

• geometry/elementMaps.hh