hp2D::NeumannTrace< F, G > Class Template Reference

#include <function.hh>

Inheritance diagram for hp2D::NeumannTrace< F, G >:

Public Types
typedef concepts::Element< typename Q::type >	Element

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

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

Detailed Description

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>
class hp2D::NeumannTrace< F, G >

The Neumann trace of the approximated function in a FE space.

It is evaluated on one quadrilateral element, and takes the value from one side (the side of the given quad). The Neumann trace is w.r.t. to the right (!) normal vector of the edge.

Author

Kersten Schmidt, 2007

Definition at line 355 of file function.hh.

Member Typedef Documentation

Element

template<uint dim, typename F = Real, typename Q = Quad<Real>>

typedef concepts::Element<typename Q::type> hp2D::ElementFunction< dim, F, Q >::Element

inherited

Definition at line 40 of file functionBase.hh.

Constructor & Destructor Documentation

NeumannTrace()

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

hp2D::NeumannTrace< F, G >::NeumannTrace ( )

inline

Constructor

Definition at line 359 of file function.hh.

Member Function Documentation

clone()

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

virtual NeumannTrace< F, G > * hp2D::NeumannTrace< F, G >::clone ( ) const

inlinevirtual

Implements concepts::ElementFunction< F, G >.

Definition at line 361 of file function.hh.

info()

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

virtual std::ostream & hp2D::NeumannTrace< F, G >::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::ElementFunction< F, G >.

n()

template<uint dim, typename F = Real, typename Q = Quad<Real>>

virtual uint hp2D::ElementFunction< dim, F, Q >::n ( ) const

inlinevirtualinherited

Number of components.

Implements concepts::ElementFunction< F, G >.

Definition at line 43 of file functionBase.hh.

operator()() [1/9]

template<uint dim, typename F , typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator() ( const Element &  elm, const concepts::Array< F > &  coeff, concepts::Array< F > &  val, const concepts::Real3d &  p, const Real  t = 0.0  ) const

virtualinherited

Definition at line 125 of file functionBase.hh.

operator()() [2/9]

template<uint dim, typename F , typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator() ( const Element &  elm, const concepts::Array< F > &  coeff, concepts::Array< F > &  val, const Real  p, const Real  t = 0.0  ) const

virtualinherited

Definition at line 101 of file functionBase.hh.

operator()() [3/9]

template<uint dim, typename F , typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator() ( const Element &  elm, const concepts::Array< F > &  coeff, concepts::Array< F > &  val, const Real2d &  p, const Real  t = 0.0  ) const

virtualinherited

Definition at line 114 of file functionBase.hh.

operator()() [4/9]

template<uint dim, typename F , typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator() ( const Element &  elm, const concepts::Array< F > &  coeff, concepts::Array< F > &  val, const uint *  i  ) const

virtualinherited

Definition at line 79 of file functionBase.hh.

operator()() [5/9]

template<uint dim, typename F , typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator() ( const Element &  elm, const uint *  j, concepts::Array< F > &  val, const uint *  i  ) const

virtualinherited

Definition at line 90 of file functionBase.hh.

operator()() [6/9]

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 virtualinherited

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()() [7/9]

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 virtualinherited

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

operator()() [8/9]

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 virtualinherited

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()() [9/9]

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 virtualinherited

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 file:

• hp2D/function.hh