Abstract base class for triangular elements in 2D DGFEM. More...

#include <triangle.hh>

Inheritance diagram for linDG2D::Triangle:

Collaboration diagram for linDG2D::Triangle:

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 =0
	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 =0
	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.
	Triangle (const concepts::Triangle2d &cell, uint nDoF, 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.
Private Attributes
const concepts::Triangle2d &	cell_
	Cell under this element.
Static Private Attributes
static std::auto_ptr < TriangleGraphics >	graphics_
	Graphics object of this element.

Detailed Description

Abstract base class for triangular elements in 2D DGFEM.

Author:: Christoph Winkelmann, 2003

Definition at line 27 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::Triangle::Triangle	(	const concepts::Triangle2d &	cell,
		uint	nDoF,
		uint	idx[]
	)		`[inline]`

Constructor.

Creates a T matrix out of idx.

See also:: concepts::TIndex

Parameters:

cell	Cell of the element
nDoF	Number of degrees of freedom per element
idx	Describes the map local / global dof

Definition at line 35 of file triangle.hh.

Member Function Documentation

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

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]

Returns the element graphics object.

Reimplemented from concepts::Element< Real >.

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

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in linDG2D::TriangleP1, and linDG2D::TriangleP0.

virtual Real linDG2D::Triangle::shapeFct	(	const uint	i,
		const Real	xi1,
		const Real	xi2
	)		const `[pure 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

Implemented in linDG2D::TriangleP1, and linDG2D::TriangleP0.

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

Implemented in linDG2D::TriangleP1, and linDG2D::TriangleP0.

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

Returns the topological triangle supporting the element.

Implements linearFEM::Element.

Definition at line 38 of file triangle.hh.

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