linearFEM::Triangle Class Reference

#include <element2D.hh>

Inheritance diagram for linearFEM::Triangle:

Public Types
typedef Real	type

Public Member Functions
	Triangle (const concepts::Triangle2d &cell, uint idx[])
	Triangle (const concepts::Triangle2d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
virtual const concepts::Triangle &	support () const
	Returns the support of this element.
virtual const concepts::Triangle2d &	cell () const
	Returns the cell of this element.
Real	shapefct (const uint i, const Real xi1, const Real xi2) const
concepts::Real2d	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

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 29 of file element2D.hh.

Member Typedef Documentation

type

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

inherited

Definition at line 81 of file element.hh.

Constructor & Destructor Documentation

Triangle() [1/2]

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 36 of file element2D.hh.

Triangle() [2/2]

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 44 of file element2D.hh.

Member Function Documentation

cell()

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

inlinevirtual

Returns the cell of this element.

Implements linearFEM::Element.

Definition at line 49 of file element2D.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::Triangle::graphics ( ) const

virtual

Reimplemented from concepts::Element< F >.

info()

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

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

shapefct()

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

shapefctD()

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)

support()

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

inlinevirtual

Returns the support of this element.

Implements linearFEM::Element.

Definition at line 47 of file element2D.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/element2D.hh