linearFEM::Line Class Referenceabstract

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

#include <element1D.hh>

Inheritance diagram for linearFEM::Line:

Public Types
typedef Real	type

Public Member Functions
virtual const concepts::Edge1d &	cell () const
	Returns the cell of this element. More...
virtual const Cell &	cell () const=0
	Returns the cell on which the element is built. More...
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, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
	Constructor. More...
	Line (const concepts::Edge1d &cell, uint idx[])
	Constructor. More...
Real	shapefct (const uint i, const Real xi) const
	Computes the value of the ith shape function in the point xi. More...
Real	shapefctD (const uint i) const
	Returns the derivative of the ith shape function. More...
virtual const concepts::Edge &	support () const
	Returns the support of this element. More...
virtual const concepts::TMatrixBase< Real > &	T () const
	Returns the T matrix of this element. More...
virtual const TMatrixBase< Real > &	T () const=0
	Returns the T matrix of the element. More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Protected Attributes
std::unique_ptr< concepts::TMatrixBase< Real > >	T_
	T matrix of this element. More...

Private Attributes
const concepts::Edge1d &	cell_
	Cell of the element. More...

Static Private Attributes
static std::unique_ptr< LineGraphics >	graphics_

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() [1/2]

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.

cell() [2/2]

virtual const Cell& concepts::ElementWithCell< Real >::cell ( ) const

pure virtualinherited

Returns the cell on which the element is built.

Implemented in hp3D::Element< Real >, hp2D::Element< Real >, and hp1D::BaseElement< Real >.

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

info()

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

protectedvirtual

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() [1/2]

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

inlinevirtualinherited

Returns the T matrix of this element.

Definition at line 47 of file element.hh.

T() [2/2]

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

pure virtualinherited

Returns the T matrix of the element.

Implemented in hp3D::Element< Real >, and hp2D::Element< Real >.

Member Data Documentation

cell_

const concepts::Edge1d& linearFEM::Line::cell_

private

Cell of the element.

Definition at line 71 of file element1D.hh.

graphics_

std::unique_ptr<LineGraphics> linearFEM::Line::graphics_

staticprivate

Definition at line 72 of file element1D.hh.

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