concepts::Edge1d Class Reference

#include <cell1D.hh>

Inheritance diagram for concepts::Edge1d:

Public Types
typedef uint	index_type

Public Member Functions
	Edge1d (Edge &cntr, const MapEdge1d &map)
virtual Edge1d *	child (uint i)
virtual const Edge1d *	child (uint i) const
virtual uint	dim () const
	Returns the dimension of the space, i.e. N.
Real	chi (Real xi) const
virtual concepts::Real3d	elemMap (const Real xi) const
	Element map from point local coordinates in 1D.
virtual concepts::Real3d	elemMap (const Real1d &xi) const
virtual concepts::Real3d	elemMap (const Real2d &xi) const
	Element map from point local coordinates in 2D.
virtual concepts::Real3d	elemMap (const Real3d &xi) const
	Element map from point local coordinates in 3D.
Real	jacobianDeterminant (const Real x) const
Real	jacobian (Real x) const
Real	jacobian (concepts::Point< Real, 1 > &x) const
Real	size () const
	Returns the size of the element.
Real	jacobianInverse (const Real x) const
const MapEdge1d *	map () const
const Level< 1 > &	level () const
Edge1d *	clone (Edge &cntr, MapEdge1d *map) const
	Returns a copy of itself.
Edge &	connector () const
	Returns the connector (topology)
virtual Real3d	vertex (const uint i) const
	Returns the coordinates of the ith vertex.
virtual Real3d	center () const
	Returns the center of the cell.
bool	hasChildren () const
	Returns true if there is a least one child.

Static Public Attributes
static uint	MAX_LEVEL

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

Protected Attributes
Edge &	cntr_
	Reference to the edge (topology)

Detailed Description

A 1D cell: edge.

Author

Philipp Frauenfelder, 2001

Examples

meshes.cc.

Definition at line 83 of file cell1D.hh.

Member Typedef Documentation

index_type

typedef uint concepts::EdgeNd::index_type

inherited

Definition at line 40 of file cell1D.hh.

Constructor & Destructor Documentation

Edge1d()

concepts::Edge1d::Edge1d	(	Edge &	cntr,
		const MapEdge1d &	map
	)

Constructor.

Parameters

cntr	The edge which should be represented
map	Element map of the edge

Member Function Documentation

center()

virtual Real3d concepts::EdgeNd::center ( ) const

virtualinherited

Returns the center of the cell.

Implements concepts::Cell1.

chi()

Real concepts::Edge1d::chi

(

Real

xi

)

const

The element map. Maps a point from the unit intervall [0,1] onto the element.

Returns

Point in 1D in physical coordinates.

Parameters

xi

Examples

linearFEM1d-simple.cc, and linearFEM1d.cc.

child() [1/2]

virtual Edge1d * concepts::Edge1d::child ( uint  i )

virtual

Returns a child. If no children exist, two new children are created. The edge is cut in the middle.

Parameters

i	Index of the child to be returned.

Implements concepts::EdgeNd.

child() [2/2]

virtual const Edge1d * concepts::Edge1d::child ( uint  i ) const

virtual

Returns a pointer to the ith child. Children are not created if they do not already exist, instead 0 is returned.

Implements concepts::EdgeNd.

clone()

Edge1d * concepts::Edge1d::clone ( Edge &  cntr, MapEdge1d *  map  ) const

inline

Returns a copy of itself.

Definition at line 150 of file cell1D.hh.

connector()

Edge & concepts::EdgeNd::connector ( ) const

inlinevirtualinherited

Returns the connector (topology)

Implements concepts::Cell1.

Definition at line 59 of file cell1D.hh.

dim()

virtual uint concepts::Edge1d::dim ( ) const

inlinevirtual

Returns the dimension of the space, i.e. N.

Implements concepts::EdgeNd.

Definition at line 100 of file cell1D.hh.

elemMap() [1/4]

virtual concepts::Real3d concepts::Edge1d::elemMap ( const Real  coord_local ) const

virtual

Element map from point local coordinates in 1D.

Reimplemented from concepts::Cell.

elemMap() [2/4]

virtual concepts::Real3d concepts::Edge1d::elemMap ( const Real1d &  xi ) const

inlinevirtual

Definition at line 113 of file cell1D.hh.

elemMap() [3/4]

virtual concepts::Real3d concepts::Edge1d::elemMap ( const Real2d &  coord_local ) const

virtual

Element map from point local coordinates in 2D.

Reimplemented from concepts::Cell.

elemMap() [4/4]

virtual concepts::Real3d concepts::Edge1d::elemMap ( const Real3d &  coord_local ) const

virtual

Element map from point local coordinates in 3D.

Reimplemented from concepts::Cell.

hasChildren()

bool concepts::Cell::hasChildren ( ) const

inlineinherited

Returns true if there is a least one child.

Definition at line 50 of file cell.hh.

info()

virtual std::ostream & concepts::Edge1d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::EdgeNd.

jacobian()

Real concepts::Edge1d::jacobian

(

Real

x

)

const

Returns the Jacobian.

Parameters

x

jacobianDeterminant()

Real concepts::Edge1d::jacobianDeterminant ( const Real  x ) const

inlinevirtual

Returns the determinant of the Jacobian.

See also

jacobian

Implements concepts::EdgeNd.

Definition at line 120 of file cell1D.hh.

jacobianInverse()

Real concepts::Edge1d::jacobianInverse ( const Real  x ) const

inline

Returns the inverse of the Jacobian

See also

jacobian

Definition at line 137 of file cell1D.hh.

level()

const Level< 1 > & concepts::Edge1d::level ( ) const

inline

Definition at line 145 of file cell1D.hh.

map()

const MapEdge1d * concepts::Edge1d::map ( ) const

inline

Definition at line 141 of file cell1D.hh.

vertex()

virtual Real3d concepts::EdgeNd::vertex ( const uint  i ) const

virtualinherited

Returns the coordinates of the ith vertex.

Implements concepts::Cell1.

Member Data Documentation

cntr_

Edge& concepts::EdgeNd::cntr_

protectedinherited

Reference to the edge (topology)

Definition at line 74 of file cell1D.hh.

MAX_LEVEL

uint concepts::EdgeNd::MAX_LEVEL

staticinherited

Definition at line 44 of file cell1D.hh.

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

• geometry/cell1D.hh