linearFEM::Line Class Reference

#include <element1D.hh>

Inheritance diagram for linearFEM::Line:

Public Types
typedef Real	type

Public Member Functions
	Line (const concepts::Edge1d &cell, uint idx[])
	Line (const concepts::Edge1d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
virtual const concepts::Edge &	support () const
	Returns the support of this element.
virtual const concepts::Edge1d &	cell () const
	Returns the cell of this element.
Real	shapefct (const uint i, const Real xi) const
Real	shapefctD (const uint i) const
virtual const concepts::ElementGraphics< Real > *	graphics () const
virtual const concepts::TMatrixBase< Real > &	T () const
	Returns the T matrix of this element.
Real3d	elemMap (const Real coord_local) const
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
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::unique_ptr< concepts::TMatrixBase< Real > >	T_
	T matrix of this element.

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 34 of file element1D.hh.

Member Typedef Documentation

type

typedef Real concepts::ElementWithCell< Real >::type

inherited

Definition at line 81 of file element.hh.

Constructor & Destructor Documentation

Line() [1/2]

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 41 of file element1D.hh.

Line() [2/2]

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 49 of file element1D.hh.

Member Function Documentation

cell()

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

inlinevirtual

Returns the cell of this element.

Implements linearFEM::Element.

Examples

linearFEM1d-simple.cc, and linearFEM1d.cc.

Definition at line 53 of file element1D.hh.

elemMap() [1/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real  coord_local ) const

inlineinherited

Definition at line 86 of file element.hh.

elemMap() [2/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real2d &  coord_local ) const

inlineinherited

Definition at line 90 of file element.hh.

elemMap() [3/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real3d &  coord_local ) const

inlineinherited

Definition at line 94 of file element.hh.

graphics()

virtual const concepts::ElementGraphics< Real > * linearFEM::Line::graphics ( ) const

virtual

Reimplemented from concepts::Element< F >.

info()

virtual std::ostream & linearFEM::Line::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

shapefct()

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.

shapefctD()

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)

support()

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

inlinevirtual

Returns the support of this element.

Implements linearFEM::Element.

Definition at line 52 of file element1D.hh.

T()

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

inlinevirtualinherited

Returns the T matrix of this element.

Implements concepts::ElementWithCell< Real >.

Definition at line 47 of file element.hh.

tag()

template<class F >

uint & concepts::Element< F >::tag ( )

inlineinherited

Returns the tag.

Definition at line 66 of file element.hh.

Member Data Documentation

T_

std::unique_ptr<concepts::TMatrixBase<Real> > linearFEM::Element::T_

protectedinherited

T matrix of this element.

Definition at line 50 of file element.hh.

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

• linearFEM/element1D.hh