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concepts::MappingStraightEdge2d Class Reference

A 2D element map for an edge of a straight line. More...

#include <elementMaps.hh>

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List of all members.

Public Member Functions

virtual MappingStraightEdge2dclone () const
 Virtual copy constructor.
virtual Real curvature (const Real t, uint n=0) const
 Returns the n-th derivative of the curvature.
virtual Real2d derivative (const Real t, const uint n=1) const
 Returns the n-th derivative.
virtual MappingStraightEdge2dinverse () const
 Returns the mapping of the edge in inverse direction.
 MappingStraightEdge2d (const MappingStraightEdge2d &edgemap)
 Copy Constructor.
 MappingStraightEdge2d (const Real2d vtx0, const Real2d vtx1)
 Constructor.
Real2d n0 (const Real t) const
 Returns the normalised right normal vector.
virtual Real2d normal (const Real t) const
 Returns the right normal vector, length is that of the derivative.
virtual Real2d operator() (const Real t) const
 Application operator.
MappingStraightEdge2dpart (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.
const Real2dvtx (uint i) const
 Spit out one vertex of the edge.

Protected Member Functions

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

Protected Attributes

Real2d delta_
 Vector from first to second vertex.
Real2d vtx_ [2]
 Coordinates of the vertices at either end of the edge.

Detailed Description

A 2D element map for an edge of a straight line.

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

Author:
, Kersten Schmidt, 2004

Definition at line 216 of file elementMaps.hh.


Constructor & Destructor Documentation

concepts::MappingStraightEdge2d::MappingStraightEdge2d ( const Real2d  vtx0,
const Real2d  vtx1 
)

Constructor.

Parameters:
vtx0,vtx1coordinates of the vertices
concepts::MappingStraightEdge2d::MappingStraightEdge2d ( const MappingStraightEdge2d edgemap)

Copy Constructor.


Member Function Documentation

virtual MappingStraightEdge2d* concepts::MappingStraightEdge2d::clone ( ) const [virtual]

Virtual copy constructor.

Implements concepts::MappingEdge2d.

virtual Real concepts::MappingStraightEdge2d::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 from concepts::MappingEdge2d.

virtual Real2d concepts::MappingStraightEdge2d::derivative ( const Real  t,
const uint  n = 1 
) const [virtual]

Returns the n-th derivative.

Implements concepts::MappingEdge2d.

virtual std::ostream& concepts::MappingStraightEdge2d::info ( std::ostream &  os) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::MappingEdge2d.

virtual MappingStraightEdge2d* concepts::MappingStraightEdge2d::inverse ( ) const [inline, virtual]

Returns the mapping of the edge in inverse direction.

Reimplemented from concepts::MappingEdge2d.

Definition at line 227 of file elementMaps.hh.

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Real2d concepts::MappingEdge2d::n0 ( const Real  t) const [inline, inherited]

Returns the normalised right normal vector.

Reimplemented in concepts::MappingParallelEdge2d.

Definition at line 105 of file elementMaps.hh.

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virtual Real2d concepts::MappingEdge2d::normal ( const Real  t) const [virtual, inherited]

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

virtual Real2d concepts::MappingStraightEdge2d::operator() ( const Real  t) const [virtual]

Application operator.

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

Implements concepts::MappingEdge2d.

MappingStraightEdge2d* concepts::MappingStraightEdge2d::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 from concepts::MappingEdge2d.

const Real2d& concepts::MappingEdge2d::vtx ( uint  i) const [inline, inherited]

Spit out one vertex of the edge.

Definition at line 122 of file elementMaps.hh.


Member Data Documentation

Vector from first to second vertex.

Definition at line 241 of file elementMaps.hh.

Real2d concepts::MappingEdge2d::vtx_[2] [protected, inherited]

Coordinates of the vertices at either end of the edge.

Definition at line 126 of file elementMaps.hh.


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

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