Triangular element with constant shape function in 2D. More...

#include <triangle.hh>

Inheritance diagram for linDG2D::TriangleP0:

Collaboration diagram for linDG2D::TriangleP0:

Public Types
typedef Real	type
Public Member Functions
virtual const concepts::Triangle2d &	cell () const
	Returns the underlying geometrical triangle.
Real3d	elemMap (const Real coord_local) const
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
virtual const concepts::ElementGraphics < Real > *	graphics () const
	Returns the element graphics object.
virtual Real	shapeFct (const uint i, const Real xi1, const Real xi2) const
	Computes the value of the ith shape function in the point (`xi1, xi2`).
virtual Real	solution (const concepts::Vector< Real > &coeffs, const Real xi1, const Real xi2) const
	Returns the value of a mesh function within this element.
virtual const concepts::Triangle &	support () const
	Returns the topological triangle supporting the element.
virtual const concepts::TMatrixBase< Real > &	T () const
	Returns the T matrix of this element.
uint &	tag ()
	Returns the tag.
	TriangleP0 (const concepts::Triangle2d &cell, uint *idx)
	Constructor.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
std::auto_ptr < concepts::TMatrixBase< Real > >	T_
	T matrix of this element.

Detailed Description

Triangular element with constant shape function in 2D.

Author:: Christoph Winkelmann, 2004

Definition at line 113 of file triangle.hh.

Member Typedef Documentation

typedef Real concepts::Element< Real >::type [inherited]

Definition at line 53 of file element.hh.

Constructor & Destructor Documentation

linDG2D::TriangleP0::TriangleP0	(	const concepts::Triangle2d &	cell,
		uint *	idx
	)		`[inline]`

Constructor.

Creates a T matrix out of idx.

See also:: concepts::TIndex

Parameters:

cell	Cell of the element
idx	Describes the map local / global dof

Definition at line 120 of file triangle.hh.

Member Function Documentation

virtual const concepts::Triangle2d& linDG2D::Triangle::cell ( ) const [inline, virtual, inherited]

Returns the underlying geometrical triangle.

Implements linearFEM::Element.

Definition at line 42 of file triangle.hh.

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real coord_local ) const [inline, inherited]

Definition at line 83 of file element.hh.

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Real3d concepts::ElementWithCell< Real >::elemMap ( const Real2d & coord_local ) const [inline, inherited]

Definition at line 87 of file element.hh.

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Real3d concepts::ElementWithCell< Real >::elemMap ( const Real3d & coord_local ) const [inline, inherited]

Definition at line 91 of file element.hh.

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virtual const concepts::ElementGraphics<Real>* linDG2D::Triangle::graphics ( ) const [virtual, inherited]

Returns the element graphics object.

Reimplemented from concepts::Element< Real >.

virtual std::ostream& linDG2D::TriangleP0::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from linDG2D::Triangle.

virtual Real linDG2D::TriangleP0::shapeFct	(	const uint	i,
		const Real	xi1,
		const Real	xi2
	)		const `[inline, virtual]`

Computes the value of the ith shape function in the point (xi1, xi2).

Precondition:: xi1, xi2 >= 0 and xi2 <= xi1 <= 1

Parameters:

i	Index of the shape fct. (0, 1, 2)
xi1	First coordinate
xi2	Second coordinate

Implements linDG2D::Triangle.

Definition at line 129 of file triangle.hh.

virtual Real linDG2D::TriangleP0::solution	(	const concepts::Vector< Real > &	coeffs,
		const Real	xi1,
		const Real	xi2
	)		const `[virtual]`

Returns the value of a mesh function within this element.

Parameters:

coeffs	Vector of coefficients representing the mesh function
xi1	first reference element coordinate, in [0,1]
xi2	second reference element coordinate, in [0,xi1]

Implements linDG2D::Triangle.

virtual const concepts::Triangle& linDG2D::Triangle::support ( ) const [inline, virtual, inherited]

Returns the topological triangle supporting the element.

Implements linearFEM::Element.

Definition at line 38 of file triangle.hh.

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