linearFEM::Triangle Class Reference

Triangular element with linear shape functions in 2D. More...

#include <element2D.hh>

Inheritance diagram for linearFEM::Triangle:

Collaboration diagram for linearFEM::Triangle:

List of all members.

Public Types
typedef Real	type
Public Member Functions
virtual const concepts::Triangle2d &	cell () const
	Returns the cell of this element.
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
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).
concepts::Real2d	shapefctD (const uint i) const
	Returns the gradient of the ith shape function.
virtual const concepts::Triangle &	support () const
	Returns the support of this 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 idx[])
	Constructor.
	Triangle (const concepts::Triangle2d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
	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 of the element.
Static Private Attributes
static std::auto_ptr < TriangleGraphics >	graphics_

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Detailed Description

Triangular element with linear shape functions in 2D.

In 2D, two different elements are possible: triangles and quadrilaterals.

Author:

Philipp Frauenfelder, 2002

Definition at line 26 of file element2D.hh.

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Member Typedef Documentation

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

Definition at line 53 of file element.hh.

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Constructor & Destructor Documentation

linearFEM::Triangle::Triangle	(	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 33 of file element2D.hh.

linearFEM::Triangle::Triangle	(	const concepts::Triangle2d &	cell,
		concepts::TColumn< Real > *	T0,
		concepts::TColumn< Real > *	T1 = 0
	)		[inline]

Constructor.

Creates a T matrix out of T0 and T1

See also:

concepts::TMatrix

Parameters:

cell	Cell of the element
T0	Contains T columns
T1	Contains T columns

Definition at line 41 of file element2D.hh.

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Member Function Documentation

virtual const concepts::Triangle2d& linearFEM::Triangle::cell

(

)

const [inline, virtual]

Returns the cell of this element.

Implements linearFEM::Element.

Definition at line 46 of file element2D.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>* linearFEM::Triangle::graphics

(

)

const [virtual]

Reimplemented from concepts::Element< Real >.

virtual std::ostream& linearFEM::Triangle::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Real linearFEM::Triangle::shapefct	(	const uint	i,
		const Real	xi1,
		const Real	xi2
	)		const

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

concepts::Real2d linearFEM::Triangle::shapefctD

(

const uint

i

)

const

Returns the gradient of the ith shape function.

The shape functions are linear and the gradient is constant. Therefore, no coordinates are necessary.

Parameters:

i	Index of the shape fct. (0, 1, 2)

virtual const concepts::Triangle& linearFEM::Triangle::support

(

)

const [inline, virtual]

Returns the support of this element.

Implements linearFEM::Element.

Definition at line 44 of file element2D.hh.

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virtual const concepts::TMatrixBase<Real>& linearFEM::Element::T

(

)

const [inline, virtual, inherited]

Returns the T matrix of this element.

Implements concepts::Element< Real >.

Definition at line 44 of file element.hh.

uint& concepts::Element< Real >::tag

(

)

[inline, inherited]

Returns the tag.

Definition at line 65 of file element.hh.

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Member Data Documentation

const concepts::Triangle2d& linearFEM::Triangle::cell_ [private]

Cell of the element.

Definition at line 66 of file element2D.hh.

std::auto_ptr<TriangleGraphics> linearFEM::Triangle::graphics_ [static, private]

Definition at line 67 of file element2D.hh.

std::auto_ptr<concepts::TMatrixBase<Real> > linearFEM::Element::T_ [protected, inherited]

T matrix of this element.

Definition at line 47 of file element.hh.

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

• linearFEM/element2D.hh