linearFEM::Quad Class Referenceabstract

Quadrilateral element with bilinear shape functions in 2D. More...

#include <element2D.hh>

Inheritance diagram for linearFEM::Quad:

Public Types
typedef Real	type

Public Member Functions
virtual const concepts::Quad2d &	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
void	evaluate (Real *res, const Real *x, const uint n) const
	Evaluates the shape functions in the given one dimensional points. More...
void	evaluateD (concepts::Real2d *res, const Real *x, const uint n) const
	Evaluates the derivatives of the shape functions in the given one dimensional points. More...
virtual const concepts::ElementGraphics< Real > *	graphics () const
	Quad (const concepts::Quad2d &cell, concepts::TColumn< Real > *T0, concepts::TColumn< Real > *T1=0)
	Constructor. More...
	Quad (const concepts::Quad2d &cell, uint idx[])
	Constructor. More...
virtual const concepts::Quad &	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::Quad2d &	cell_
	Cell of the element. More...

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

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() [1/2]

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.

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.

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

info()

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

protectedvirtual

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() [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::Quad2d& linearFEM::Quad::cell_

private

Cell of the element.

Definition at line 125 of file element2D.hh.

graphics_

std::unique_ptr<QuadGraphics> linearFEM::Quad::graphics_

staticprivate

Definition at line 126 of file element2D.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/element2D.hh