Part of a edge mapping. More...

#include <elementMaps.hh>

Inheritance diagram for concepts::PartMappingEdge2d:
concepts::MappingEdge2d concepts::Cloneable concepts::Map1d concepts::OutputOperator

Public Member Functions

virtual PartMappingEdge2dclone () const
 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
 Returns the n-th derivative. More...
 
virtual PartMappingEdge2dinverse () const
 Returns the mapping of the edge in inverse direction. 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
 Application operator. More...
 
virtual MappingEdge2dpart (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...
 
 PartMappingEdge2d (const MappingEdge2d &edgemap, const Real t0, const Real t1)
 Constructor. More...
 
 PartMappingEdge2d (const PartMappingEdge2d &edgemap)
 Copy Constructor. More...
 
const Real2dvtx (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...
 

Private Member Functions

const Real t_ (const Real t) const
 Returns the parameter in the original mapping. More...
 

Private Attributes

std::unique_ptr< const MappingEdge2dedgemap_
 Original edge map. More...
 
const Real t0_
 Parameter of the vertices in the original mapping. More...
 
const Real t1_
 

Detailed Description

Part of a edge mapping.

Author
, Kersten Schmidt, 2006

Definition at line 137 of file elementMaps.hh.

Constructor & Destructor Documentation

◆ PartMappingEdge2d() [1/2]

concepts::PartMappingEdge2d::PartMappingEdge2d ( const MappingEdge2d edgemap,
const Real  t0,
const Real  t1 
)

Constructor.

Parameters
edgemaporiginal edge mapping
t0,t1restriction

◆ PartMappingEdge2d() [2/2]

concepts::PartMappingEdge2d::PartMappingEdge2d ( const PartMappingEdge2d edgemap)

Copy Constructor.

Member Function Documentation

◆ clone()

virtual PartMappingEdge2d* concepts::PartMappingEdge2d::clone ( ) const
virtual

Virtual copy constructor.

Implements concepts::MappingEdge2d.

◆ curvature()

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

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::PartMappingEdge2d::derivative ( const Real  t,
const uint  n = 1 
) const
virtual

Returns the n-th derivative.

Implements concepts::MappingEdge2d.

◆ info()

virtual std::ostream& concepts::PartMappingEdge2d::info ( std::ostream &  os) const
protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::MappingEdge2d.

◆ inverse()

virtual PartMappingEdge2d* concepts::PartMappingEdge2d::inverse ( ) const
virtual

Returns the mapping of the edge in inverse direction.

Reimplemented from concepts::MappingEdge2d.

◆ n0()

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

Returns the normalised right normal vector.

Definition at line 107 of file elementMaps.hh.

◆ normal()

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

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

◆ operator()()

virtual Real2d concepts::PartMappingEdge2d::operator() ( const Real  t) const
virtual

Application operator.

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

Implements concepts::MappingEdge2d.

◆ part()

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

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.

◆ t_()

const Real concepts::PartMappingEdge2d::t_ ( const Real  t) const
inlineprivate

Returns the parameter in the original mapping.

Definition at line 167 of file elementMaps.hh.

◆ vtx()

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

Spit out one vertex of the edge.

Definition at line 124 of file elementMaps.hh.

Member Data Documentation

◆ edgemap_

std::unique_ptr<const MappingEdge2d> concepts::PartMappingEdge2d::edgemap_
private

Original edge map.

Definition at line 162 of file elementMaps.hh.

◆ t0_

const Real concepts::PartMappingEdge2d::t0_
private

Parameter of the vertices in the original mapping.

Definition at line 164 of file elementMaps.hh.

◆ t1_

const Real concepts::PartMappingEdge2d::t1_
private

Definition at line 164 of file elementMaps.hh.

◆ vtx_

Real2d concepts::MappingEdge2d::vtx_[2]
protectedinherited

Coordinates of the vertices at either end of the edge.

Definition at line 128 of file elementMaps.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich