hp2D::Partial_xx< F, Q > Class Template Reference

#include <function.hh>

Inheritance diagram for hp2D::Partial_xx< F, Q >:

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

Public Member Functions
virtual Partial_xx< F, Q > *	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, typename Q = Quad<Real>>
class hp2D::Partial_xx< F, Q >

Double partial derivative in x direction of the approximated function in a FE space.

Author

Robert Gruhlke, 2014

Definition at line 197 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.

Member Function Documentation

clone()

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

virtual Partial_xx< F, Q > * hp2D::Partial_xx< F, Q >::clone ( ) const

virtual

Implements concepts::ElementFunction< F, G >.

info()

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

virtual std::ostream & hp2D::Partial_xx< F, Q >::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