linearFEM::Quad Class Reference

#include <element2D.hh>

Inheritance diagram for linearFEM::Quad:

Public Types
typedef Real	type

Public Member Functions
	Quad (const concepts::Quad2d &cell, uint idx[])
	Quad (const concepts::Quad2d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
virtual const concepts::Quad &	support () const
	Returns the support of this element.
virtual const concepts::Quad2d &	cell () const
	Returns the cell of this element.
void	evaluate (Real *res, const Real *x, const uint n) const
void	evaluateD (concepts::Real2d *res, const Real *x, const uint n) 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

Quadrilateral element with bilinear shape functions in 2D. In 2D, two different elements are possible: triangles and quadrilaterals.

Author

Philipp Frauenfelder, 2002

Definition at line 79 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

Quad() [1/2]

linearFEM::Quad::Quad ( const concepts::Quad2d &  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 86 of file element2D.hh.

Quad() [2/2]

linearFEM::Quad::Quad ( const concepts::Quad2d &  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 94 of file element2D.hh.

Member Function Documentation

cell()

virtual const concepts::Quad2d & linearFEM::Quad::cell ( ) const

inlinevirtual

Returns the cell of this element.

Implements linearFEM::Element.

Definition at line 97 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.

evaluate()

void linearFEM::Quad::evaluate	(	Real *	res,
		const Real *	x,
		const uint	n
	)		const

Evaluates the shape functions in the given one dimensional points. The points in x have to be between -1 and 1 and are tensorised to get two dimensional points.

Precondition

res has to allocated, size: 4*n*n

Parameters

res	Values of the shapefunctions with index k in the points (x_i, x_j) with j running fastest and k running slowest
x	Points in 1D where the shape functions have to be evaluated. Size: n
n	Number of points in x

evaluateD()

void linearFEM::Quad::evaluateD	(	concepts::Real2d *	res,
		const Real *	x,
		const uint	n
	)		const

Evaluates the derivatives of the shape functions in the given one dimensional points. The points in x have to be between -1 and 1 and are tensorised to get two dimensional points.

Precondition

res has to allocated, size: 4*n*n

Parameters

res	Values of the shapefunctions with index k in the points (x_i, x_j) with j running fastest and k running slowest
x	Points in 1D where the shape functions have to be evaluated. Size: n
n	Number of points in x

graphics()

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

virtual

Reimplemented from concepts::Element< F >.

info()

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

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

support()

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

inlinevirtual

Returns the support of this element.

Implements linearFEM::Element.

Definition at line 96 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.

---

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

• linearFEM/element2D.hh