concepts::ElementFunction< F, G > Class Template Reference

#include <function.hh>

Inheritance diagram for concepts::ElementFunction< F, G >:

Public Member Functions
virtual uint	n () const =0
	Number of components.
virtual void	operator() (const Element< G > &elm, const Array< F > &coeff, Array< F > &val, const uint *i) const =0
virtual void	operator() (const Element< G > &elm, const uint *j, Array< F > &val, const uint *i) const =0
virtual void	operator() (const Element< G > &elm, const Array< F > &coeff, Array< F > &val, const Real p, const Real t=0.0) const =0
virtual void	operator() (const Element< G > &elm, const Array< F > &coeff, Array< F > &val, const Real2d &p, const Real t=0.0) const =0
virtual void	operator() (const Element< G > &elm, const Array< F > &coeff, Array< F > &val, const Real3d &p, const Real t=0.0) const =0
virtual ElementFunction< F, G > *	clone () const =0

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

template<class F, class G = typename Realtype<F>::type>
class concepts::ElementFunction< F, G >

An abstract class for a function in a FE space.

Author

Kersten Schmidt, 2004

Definition at line 24 of file function.hh.

Member Function Documentation

info()

template<class F , class G = typename Realtype<F>::type>

virtual std::ostream & concepts::ElementFunction< F, G >::info ( std::ostream &  os ) const

inlineprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in hp1D::Value< F, G >, hp1D::Grad< F, G >, hp2D::Value< F, G >, hp2D::Grad< F >, hp2D::Grad< Cmplx >, hp2D::Laplacian< F, G >, hp2D::Partial_xx< F, Q >, hp2D::Partial_yy< F, Q >, hp2D::PlCurl< F >, hp2D::PlCurl< Cmplx >, hp2D::Trace< F, G >, hp2D::TraceDeriv< F, G >, hp2D::NeumannTrace< F, G >, hp2Dedge::Value< F, G, H >, hp2Dedge::Rot< F, G >, hp2Dedge::Rot< Cmplx >, hp2D::Eddy2D_eField, hp2D::Eddy2D_dissipation, hp2D::Maxwell2D_hField, hp2D::Maxwell2D_eField, hp2D::Maxwell2D_dissipation, mechanics::Stress3D< F, G >, concepts::Squared< F, G >, concepts::AbsoluteComp< F, G >, concepts::Absolute< F, G >, vectorial::ElementFunction< F, G >, vectorial::ElementFunctionComponent< F, G >, vectorial::ElementFunctionAllComponents< F, G >, and vectorial::SymmetrizeTensor< dim, F, G >.

Definition at line 67 of file function.hh.

n()

template<class F , class G = typename Realtype<F>::type>

virtual uint concepts::ElementFunction< F, G >::n ( ) const

pure virtual

Number of components.

Implemented in hp1D::Value< F, G >, hp1D::Grad< F, G >, hp2D::Value< F, G >, hp2D::Laplacian< F, G >, hp2D::ElementFunction< dim, F, Q >, hp2D::ElementFunction< 1, Cmplx >, hp2D::ElementFunction< 1, Cmplx, hp2Dedge::Quad<> >, hp2D::ElementFunction< 1, Cmplx, Quad< Real > >, hp2D::ElementFunction< 1, F, Quad< Real > >, hp2D::ElementFunction< 1, Real, hp1D::Element< typename concepts::Realtype< Real >::type > >, hp2D::ElementFunction< 1, Real, Quad< Real > >, hp2D::ElementFunction< 1, Real, Quad< typename concepts::Realtype< Real >::type > >, hp2D::ElementFunction< 2, Cmplx >, hp2D::ElementFunction< 2, Real >, hp2D::ElementFunction< 2, Real, Quad< typename concepts::Realtype< Real >::type > >, hp2D::ElementFunction< 1, F, Q >, hp3D::Value< F, G >, hp3D::Value< concepts::Cmplx, Real >, hp3D::Value< Real, Real >, hp3D::Grad< F, G >, mechanics::Stress3D< F, G >, concepts::Squared< F, G >, concepts::AbsoluteComp< F, G >, concepts::Absolute< F, G >, vectorial::ElementFunction< F, G >, vectorial::ElementFunctionComponent< F, G >, vectorial::ElementFunctionAllComponents< F, G >, vectorial::SymmetrizeTensor< dim, F, G >, and hp3D::Laplacian< F, G >.

operator()() [1/4]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::ElementFunction< F, G >::operator() ( const Element< G > &  elm, const Array< F > &  coeff, Array< F > &  val, const Real  p, const Real  t = 0.0  ) const

pure virtual

Evaluates the function value in an arbitrary point p of physical space

Parameters

elm	Element
coeff	Coefficients of local shape functions
val	Function value
p	Point in space in local element coordinates
t	Point in time

Implemented in hp3D::Laplacian< F, G >, concepts::Squared< F, G >, concepts::AbsoluteComp< F, G >, and concepts::Absolute< F, G >.

operator()() [2/4]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::ElementFunction< F, G >::operator() ( const Element< G > &  elm, const Array< F > &  coeff, Array< F > &  val, const Real2d &  p, const Real  t = 0.0  ) const

pure virtual

Implemented in hp3D::Laplacian< F, G >.

operator()() [3/4]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::ElementFunction< F, G >::operator() ( const Element< G > &  elm, const Array< F > &  coeff, Array< F > &  val, const uint *  i  ) const

pure virtual

Evaluates the function on precalculated quadrature points.

Parameters

elm	Element
coeff	Coefficients of local shape functions
val	Function value
i	multi-index of the quadrature point

Implemented in hp1D::Value< F, G >, hp1D::Grad< F, G >, hp2D::Value< F, G >, hp2D::Laplacian< F, G >, hp3D::Value< F, G >, hp3D::Grad< F, G >, mechanics::Stress3D< F, G >, vectorial::ElementFunction< F, G >, vectorial::ElementFunctionComponent< F, G >, vectorial::ElementFunctionAllComponents< F, G >, vectorial::SymmetrizeTensor< dim, F, G >, hp3D::Laplacian< F, G >, concepts::Squared< F, G >, concepts::AbsoluteComp< F, G >, and concepts::Absolute< F, G >.

operator()() [4/4]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::ElementFunction< F, G >::operator() ( const Element< G > &  elm, const uint *  j, Array< F > &  val, const uint *  i  ) const

pure virtual

Evaluates the given function on a specific shape function j (on precalculated quadrature points).

Parameters

elm	Element
j	multi-index of a shapefunction
val	Function value
i	multi-index of the quadrature point

Implemented in hp1D::Value< F, G >, hp1D::Grad< F, G >, hp2D::Value< F, G >, hp2D::Laplacian< F, G >, hp3D::Value< F, G >, hp3D::Grad< F, G >, mechanics::Stress3D< F, G >, vectorial::ElementFunction< F, G >, vectorial::ElementFunctionComponent< F, G >, vectorial::ElementFunctionAllComponents< F, G >, vectorial::SymmetrizeTensor< dim, F, G >, hp3D::Laplacian< F, G >, concepts::Squared< F, G >, concepts::AbsoluteComp< F, G >, and concepts::Absolute< F, G >.

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

• function/elementFormula.hh
• space/function.hh