hp2D::l2::Quad< F > Class Template Referenceabstract

A 2D FEM element: a quad. More...

#include <quad.hh>

Inheritance diagram for hp2D::l2::Quad< F >:

Public Member Functions
virtual const concepts::QuadNd &	cell () const
virtual const concepts::ElementGraphics< F > *	graphics () const
virtual const concepts::ElementGraphics< Real > *	graphics () const=0
	Returns element graphics class. More...
const ushort *	p () const
	Returns the polynomial degree. More...
	Quad (concepts::QuadNd &cell, const ushort *p, concepts::TColumn< F > *T0, concepts::TColumn< F > *T1)
	Constructor. More...
void	recomputeShapefunctions ()
	Recompute shape functions, e.g. More...
void	recomputeShapefunctions (const uint nq[2])
const KarniadakisDeriv2 *	shpfctX () const
	Returns the shape functions in x direction. More...
const KarniadakisDeriv2 *	shpfctY () const
	Returns the shape functions in y direction. More...
virtual const concepts::Quad &	support () const
virtual concepts::Real3d	vertex (uint i) const
virtual	~Quad ()

Protected Member Functions
void	computeShapefunctions_ (const concepts::QuadratureRule2d *intRule)
	gets the shapefunctions, used in both constructors More...
virtual std::ostream &	info (std::ostream &os) const

Private Attributes
ushort	p_ [2]
	Polynomial degree. More...
std::unique_ptr< KarniadakisDeriv2 >	shpfctX_
	The shape functions. More...
std::unique_ptr< KarniadakisDeriv2 >	shpfctY_

Static Private Attributes
static std::unique_ptr< concepts::ElementGraphics< F > >	graphics_
	Appropiate element graphics object. More...

Detailed Description

template<class F = Real>
class hp2D::l2::Quad< F >

A 2D FEM element: a quad.

The reference shape functions are products of the polynomials of Karniadakis and Sherwin. The index of the shape functions rises first over the polynomials in local x-direction.

Definition at line 595 of file quad.hh.

Constructor & Destructor Documentation

Quad()

template<class F = Real>

hp2D::l2::Quad< F >::Quad	(	concepts::QuadNd &	cell,
		const ushort *	p,
		concepts::TColumn< F > *	T0,
		concepts::TColumn< F > *	T1
	)

Constructor.

Parameters

cell	Cell on which the element is defined
p	Polynomial degree (might be anisotropic) take p = 1 for at most constant polynomials (shift according to deRham diagram)
T0	Part of the T matrix
T1	Part of the T matrix

~Quad()

template<class F = Real>

virtual hp2D::l2::Quad< F >::~Quad ( )

virtual

Member Function Documentation

cell()

virtual const concepts::QuadNd& hp2D::BaseQuad< Real >::cell

inlinevirtualinherited

Definition at line 197 of file quad.hh.

computeShapefunctions_()

void hp2D::l2::QuadShapeFunctions::computeShapefunctions_ ( const concepts::QuadratureRule2d *  intRule )

protectedinherited

gets the shapefunctions, used in both constructors

graphics() [1/2]

template<class F = Real>

virtual const concepts::ElementGraphics<F>* hp2D::l2::Quad< F >::graphics ( ) const

virtual

graphics() [2/2]

virtual const concepts::ElementGraphics<Real >* hp2D::BaseQuad< Real >::graphics

pure virtualinherited

Returns element graphics class.

info()

template<class F = Real>

virtual std::ostream& hp2D::l2::Quad< F >::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented from hp2D::BaseQuad< Real >.

p()

const ushort* hp2D::l2::QuadShapeFunctions::p ( ) const

inlineinherited

Returns the polynomial degree.

The returned array has 2 elements.

Definition at line 567 of file quad.hh.

recomputeShapefunctions() [1/2]

template<class F = Real>

void hp2D::l2::Quad< F >::recomputeShapefunctions

(

)

Recompute shape functions, e.g.

for other abscissas redefined through setIntegrationRule

recomputeShapefunctions() [2/2]

template<class F = Real>

void hp2D::l2::Quad< F >::recomputeShapefunctions

(

const uint

nq[2]

)

shpfctX()

const KarniadakisDeriv2* hp2D::l2::QuadShapeFunctions::shpfctX ( ) const

inlineinherited

Returns the shape functions in x direction.

Definition at line 570 of file quad.hh.

shpfctY()

const KarniadakisDeriv2* hp2D::l2::QuadShapeFunctions::shpfctY ( ) const

inlineinherited

Returns the shape functions in y direction.

Definition at line 574 of file quad.hh.

support()

virtual const concepts::Quad& hp2D::BaseQuad< Real >::support

inlinevirtualinherited

Definition at line 195 of file quad.hh.

vertex()

virtual concepts::Real3d hp2D::BaseQuad< Real >::vertex ( uint  i ) const

inlinevirtualinherited

Definition at line 196 of file quad.hh.

Member Data Documentation

graphics_

template<class F = Real>

std::unique_ptr<concepts::ElementGraphics<F> > hp2D::l2::Quad< F >::graphics_

staticprivate

Appropiate element graphics object.

Definition at line 620 of file quad.hh.

p_

ushort hp2D::l2::QuadShapeFunctions::p_[2]

privateinherited

Polynomial degree.

Definition at line 581 of file quad.hh.

shpfctX_

std::unique_ptr<KarniadakisDeriv2 > hp2D::l2::QuadShapeFunctions::shpfctX_

privateinherited

The shape functions.

Definition at line 583 of file quad.hh.

shpfctY_

std::unique_ptr<KarniadakisDeriv2 > hp2D::l2::QuadShapeFunctions::shpfctY_

privateinherited

Definition at line 583 of file quad.hh.

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

• hp2D/quad.hh