linearFEM::Line Class Reference

Line element with linear shape function in 1D. More...

#include <element1D.hh>

Inheritance diagram for linearFEM::Line:

Collaboration diagram for linearFEM::Line:

List of all members.

Public Types
typedef Real	type
Public Member Functions
virtual const concepts::Edge1d &	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
	Line (const concepts::Edge1d &cell, uint idx[])
	Constructor.
	Line (const concepts::Edge1d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
	Constructor.
Real	shapefct (const uint i, const Real xi) const
	Computes the value of the ith shape function in the point xi.
Real	shapefctD (const uint i) const
	Returns the derivative of the ith shape function.
virtual const concepts::Edge &	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.
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::Edge1d &	cell_
	Cell of the element.
Static Private Attributes
static std::auto_ptr < LineGraphics >	graphics_

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Detailed Description

Line element with linear shape function in 1D.

The cell which is contained in this element is responsible for the topology (connectivity) and the geometry. The shape functions can be evaluated with the shapefct and shapefctD members. The information in the T matrix is generated in the space and stored here.

Author:

Philipp Frauenfelder, 2002

Examples:

linearFEM1d-simple.cc, and linearFEM1d.cc.

Definition at line 31 of file element1D.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::Line::Line	(	const concepts::Edge1d &	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 38 of file element1D.hh.

linearFEM::Line::Line	(	const concepts::Edge1d &	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 46 of file element1D.hh.

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Member Function Documentation

virtual const concepts::Edge1d& linearFEM::Line::cell

(

)

const [inline, virtual]

Returns the cell of this element.

Implements linearFEM::Element.

Examples:

linearFEM1d-simple.cc, and linearFEM1d.cc.

Definition at line 50 of file element1D.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::Line::graphics

(

)

const [virtual]

Reimplemented from concepts::Element< Real >.

virtual std::ostream& linearFEM::Line::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Real linearFEM::Line::shapefct	(	const uint	i,
		const Real	xi
	)		const

Computes the value of the ith shape function in the point xi.

Precondition:

xi >= -1 and xi <= 1

Parameters:

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

Examples:

linearFEM1d-simple.cc, and linearFEM1d.cc.

Real linearFEM::Line::shapefctD

(

const uint

i

)

const

Returns the derivative of the ith shape function.

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

Parameters:

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

virtual const concepts::Edge& linearFEM::Line::support

(

)

const [inline, virtual]

Returns the support of this element.

Implements linearFEM::Element.

Definition at line 49 of file element1D.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::Edge1d& linearFEM::Line::cell_ [private]

Cell of the element.

Definition at line 68 of file element1D.hh.

std::auto_ptr<LineGraphics> linearFEM::Line::graphics_ [static, private]

Definition at line 69 of file element1D.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/element1D.hh