Dune::LevelDGFunction

Dune::LevelDGFunction< G, RT, o, SFSC > Class Template Reference
[Functions Hierarchy]

#include <dgfunction.hh>

Inheritance diagram for Dune::LevelDGFunction< G, RT, o, SFSC >:

Dune::DGFunction< G::LevelGridView, RT, o, SFSC > Dune::GridFunction< G, RT, m > Dune::GridFunctionDefault< G, RT, m > Dune::GridFunctionGlobalEvalDefault< GV, RT, m > Dune::FunctionDefault< DT, RT, n, m > Dune::H1Function< DT, RT, n, m > Dune::GridFunctionGlobalDifferentiationDefault< GV, RT, m > Dune::L2Function< DT, RT, n, m > Dune::FunctionBase< DT, RT, n, m > Dune::GridFunctionGlobalEvalDefault< GV, RT, m > Dune::DifferentiableGridFunction< GV::Grid, RT, m > Dune::L2Function< DT, RT, n, m > Dune::DifferentiableFunction< DT, RT, n, m > Dune::FunctionBase< DT, RT, n, m > Dune::GridFunction< G, RT, m > Dune::FunctionBase< G::ctype, RT, G::dimension, m > List of all members.

Detailed Description

template<class G, class RT, int o, template< class, class, int, int > class SFSC = MonomialShapeFunctionSetContainer>
class Dune::LevelDGFunction< G, RT, o, SFSC >

DG finite element function on a given level grid.

Parameters:
G The grid
RT The type used for the component values of the function
o The order of the monomial shapefunctions


Public Types

typedef SFSC< DT, RT, G::dimension,
o > 		ShapeFunctionSetContainer
 type of ShapeFunctionSetContainer
typedef ShapeFunctionSetContainer::ShapeFunctionSet ShapeFunctionSet
 type of ShapeFunctionSet
enum  
 export dimension of domain and range
enum  
 export dimension of domain and range
typedef G::ctype DomainFieldType
 export type for domain components
typedef DT DomainFieldType
 export type for domain components
typedef RT RangeFieldType
 export type for range components
typedef RT RangeFieldType
 export type for range components

Public Member Functions

virtual RT evallocal (int comp, const Entity &e, const Dune::FieldVector< DT, n > &xi) const
 evaluate single component comp in the entity e at local coordinates xi
virtual RT evallocal (int comp, const Entity &e, const Dune::FieldVector< DT, n > &xi) const =0
 evaluate single component comp in the entity e at local coordinates xi
RT evallocal (int comp, const Entity &e, const Dune::FieldVector< DT, n > &xi) const
 implement local evaluation with global evaluation
virtual RT evallocal (int comp, const Entity &e, const Dune::FieldVector< DT, n > &xi) const =0
 evaluate single component comp in the entity e at local coordinates xi
virtual RT derivativelocal (int comp, const Dune::FieldVector< int, n > &d, const Entity &e, const Dune::FieldVector< DT, n > &xi) const=0
 evaluate derivative in local coordinates
void interpolate (const C0Function< DT, RT, n, 1 > &u)
 interpolate nodal values from a grid function
const RepresentationType & operator * () const
 return const reference to coefficient vector
RepresentationType & operator * ()
 return reference to coefficient vector
void preAdapt ()
void postAdapt ()
 Initiate update process.
VTKWriter< G::LevelGridView
>::VTKFunction * 		vtkFunction (std::string s) const
 VTK output.
virtual void evalalllocal (const Entity &e, const Dune::FieldVector< DT, G::dimension > &xi, Dune::FieldVector< RT, m > &y) const=0
 evaluate all components in the entity e at local coordinates xi
void evalalllocal (const Entity &e, const Dune::FieldVector< DT, G::dimension > &xi, Dune::FieldVector< RT, m > &y) const
 does local evaluation via component-wise global evaluation
virtual void evalalllocal (const Entity &e, const Dune::FieldVector< DT, GV::Grid::dimension > &xi, Dune::FieldVector< RT, m > &y) const=0
 evaluate all components in the entity e at local coordinates xi
virtual RT eval (int comp, const Dune::FieldVector< G::ctype, n > &x) const=0
 evaluate single component comp at global point x
virtual RT eval (int comp, const Dune::FieldVector< DT, n > &xi) const
 implement global evaluation with local evaluation
virtual RT eval (int comp, const Dune::FieldVector< DT, n > &x) const=0
 evaluate single component comp at global point x
virtual void evalall (const Dune::FieldVector< G::ctype, n > &x, Dune::FieldVector< RT, m > &y) const=0
 evaluate all components at point x and store result in y
virtual void evalall (const Dune::FieldVector< DT, n > &x, Dune::FieldVector< RT, m > &y) const=0
 evaluate all components at point x and store result in y
virtual void evalall (const Dune::FieldVector< DT, n > &x, Dune::FieldVector< RT, m > &y) const
 default implemention for evaluation of all components
virtual int order () const
 returns order 1
virtual RT derivative (int comp, const Dune::FieldVector< int, n > &d, const Dune::FieldVector< DT, n > &x) const=0
 evaluate partial derivative
virtual RT derivative (int comp, const Dune::FieldVector< int, n > &d, const Dune::FieldVector< DT, n > &x) const

Protected Types

enum  
 get domain dimension from the grid
typedef G::ctype DT
 get domain field type from the grid
typedef G::template Codim<
0 >::Entity 		Entity
 get entity from the grid

Static Protected Attributes

static const int BlockSize
 size of local vector blocks

Member Function Documentation

virtual RT Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::evallocal ( int  comp,
const Entity &  e,
const Dune::FieldVector< DT, n > &  xi 
) const [inline, virtual, inherited]

evaluate single component comp in the entity e at local coordinates xi

Evaluate the function in an entity at local coordinates.

Parameters:
[in] comp number of component to be evaluated
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
Returns:
value of the component

template<class G, class RT, int m>
virtual RT Dune::GridFunction< G, RT, m >::evallocal ( int  comp,
const Entity &  e,
const Dune::FieldVector< DT, n > &  xi 
) const [pure virtual, inherited]

evaluate single component comp in the entity e at local coordinates xi

Evaluate the function in an entity at local coordinates.

Parameters:
[in] comp number of component to be evaluated
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
Returns:
value of the component

Implemented in Dune::GridFunctionDefault< G, RT, m >, and Dune::GridFunctionDefault< G, RT, G::dimension >.

template<class G, class RT, int m>
RT Dune::GridFunctionDefault< G, RT, m >::evallocal ( int  comp,
const Entity &  e,
const Dune::FieldVector< DT, n > &  xi 
) const [inline, virtual, inherited]

implement local evaluation with global evaluation

Parameters:
[in] comp number of component to be evaluated
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
Returns:
value of the component

Implements Dune::GridFunction< G, RT, m >.

virtual RT Dune::GridFunction< GV::Grid , RT , m >::evallocal ( int  comp,
const Entity &  e,
const Dune::FieldVector< DT, n > &  xi 
) const [pure virtual, inherited]

evaluate single component comp in the entity e at local coordinates xi

Evaluate the function in an entity at local coordinates.

Parameters:
[in] comp number of component to be evaluated
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
Returns:
value of the component

virtual RT Dune::DifferentiableGridFunction< GV::Grid , RT , m >::derivativelocal ( int  comp,
const Dune::FieldVector< int, n > &  d,
const Entity &  e,
const Dune::FieldVector< DT, n > &  xi 
) const [pure virtual, inherited]

evaluate derivative in local coordinates

Evaluate the partial derivative a the given position in local coordinates in an entity.

Parameters:
[in] comp number of component that should be differentiated
[in] d vector giving order of derivative for each variable
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
Returns:
value of the derivative

void Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::interpolate ( const C0Function< DT, RT , n, 1 > &  u  )  [inline, inherited]

interpolate nodal values from a grid function

L2 Projection of a C0 function

Parameters:
[in] u a continuous function

const RepresentationType& Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::operator * (  )  const [inline, inherited]

return const reference to coefficient vector

Dereferencing a finite element function returns the coefficient representation of the finite element function. This is the const version.

RepresentationType& Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::operator * (  )  [inline, inherited]

return reference to coefficient vector

Dereferencing a finite element function returns the coefficient representation of the finite element function. This is the non-const version.

void Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::preAdapt (  )  [inline, inherited]

empty method to maintain symmetry For vertex data nothing is required in preAdapt but for other finite element functions this method is necessary.

void Dune::DGFunction< G::LevelGridView , RT , o, SFSC >::postAdapt (  )  [inline, inherited]

Initiate update process.

Call this method after the grid has been adapted. The representation is now updated to the new grid and the finite element function can be used on the new grid. However the data is not initialized. The old representation (with respect to the old grid) can still be accessed if it has been saved. It is deleted in endUpdate().

template<class G, class RT, int m>
virtual void Dune::GridFunction< G, RT, m >::evalalllocal ( const Entity &  e,
const Dune::FieldVector< DT, G::dimension > &  xi,
Dune::FieldVector< RT, m > &  y 
) const [pure virtual, inherited]

evaluate all components in the entity e at local coordinates xi

Evaluates all components of a function at once.

Parameters:
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
[out] y vector with values to be filled

Implemented in Dune::GridFunctionDefault< G, RT, m >, and Dune::GridFunctionDefault< G, RT, G::dimension >.

template<class G, class RT, int m>
void Dune::GridFunctionDefault< G, RT, m >::evalalllocal ( const Entity &  e,
const Dune::FieldVector< DT, G::dimension > &  xi,
Dune::FieldVector< RT, m > &  y 
) const [inline, virtual, inherited]

does local evaluation via component-wise global evaluation

Parameters:
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
[out] y vector with values to be filled

Implements Dune::GridFunction< G, RT, m >.

virtual void Dune::GridFunction< GV::Grid , RT , m >::evalalllocal ( const Entity &  e,
const Dune::FieldVector< DT, GV::Grid ::dimension > &  xi,
Dune::FieldVector< RT , m > &  y 
) const [pure virtual, inherited]

evaluate all components in the entity e at local coordinates xi

Evaluates all components of a function at once.

Parameters:
[in] e reference to grid entity of codimension 0
[in] xi point in local coordinates of the reference element of e
[out] y vector with values to be filled

virtual RT Dune::FunctionBase< G::ctype , RT , n, m >::eval ( int  comp,
const Dune::FieldVector< G::ctype , n > &  x 
) const [pure virtual, inherited]

evaluate single component comp at global point x

Evaluate a single component of the vector-valued function.

Parameters:
[in] comp number of component to be evaluated
[in] x position to be evaluated
Returns:
value of the component

Implemented in Dune::GridFunctionAdapter< G, RT, m >, Dune::DifferentiableGridFunctionAdapter< G, RT, m >, Dune::GridLevelLeafFunctionAdapter< G, RT, m >, Dune::GridLeafFunctionAdapter< G, IS, RT, m >, Dune::GridFunctionGradient< G, RT >, Dune::GridFunctionMinus< G, RT, m >, Dune::GridFunctionGlobalEvalDefault< GV, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, m >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, m >, and Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, 1 >.

template<class GV, class RT, int m>
virtual RT Dune::GridFunctionGlobalEvalDefault< GV, RT, m >::eval ( int  comp,
const Dune::FieldVector< DT, n > &  xi 
) const [inline, virtual, inherited]

implement global evaluation with local evaluation

The local entity is searched via a hierarchic search

Parameters:
[in] comp number of component to be evaluated
[in] xi point in local coordinates of the reference element of e
Returns:
value of the component

template<class DT, class RT, int n, int m>
virtual RT Dune::FunctionBase< DT, RT, n, m >::eval ( int  comp,
const Dune::FieldVector< DT, n > &  x 
) const [pure virtual, inherited]

evaluate single component comp at global point x

Evaluate a single component of the vector-valued function.

Parameters:
[in] comp number of component to be evaluated
[in] x position to be evaluated
Returns:
value of the component

Implemented in Dune::GridFunctionAdapter< G, RT, m >, Dune::DifferentiableGridFunctionAdapter< G, RT, m >, Dune::GridLevelLeafFunctionAdapter< G, RT, m >, Dune::GridLeafFunctionAdapter< G, IS, RT, m >, Dune::GridFunctionGradient< G, RT >, Dune::GridFunctionMinus< G, RT, m >, Dune::GridFunctionGlobalEvalDefault< GV, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, m >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, m >, and Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, 1 >.

virtual void Dune::FunctionBase< G::ctype , RT , n, m >::evalall ( const Dune::FieldVector< G::ctype , n > &  x,
Dune::FieldVector< RT , m > &  y 
) const [pure virtual, inherited]

evaluate all components at point x and store result in y

Evaluation function for all components at once.

Parameters:
[in] x position to be evaluated
[out] y result vector to be filled

template<class DT, class RT, int n, int m>
virtual void Dune::FunctionBase< DT, RT, n, m >::evalall ( const Dune::FieldVector< DT, n > &  x,
Dune::FieldVector< RT, m > &  y 
) const [pure virtual, inherited]

evaluate all components at point x and store result in y

Evaluation function for all components at once.

Parameters:
[in] x position to be evaluated
[out] y result vector to be filled

Implemented in Dune::FunctionDefault< DT, RT, n, m >.

template<class DT, class RT, int n, int m>
virtual void Dune::FunctionDefault< DT, RT, n, m >::evalall ( const Dune::FieldVector< DT, n > &  x,
Dune::FieldVector< RT, m > &  y 
) const [inline, virtual, inherited]

default implemention for evaluation of all components

Evaluate all components at once using componentwise evaluation function

Parameters:
[in] x position to be evaluated
[out] y result vector to be filled

Implements Dune::FunctionBase< DT, RT, n, m >.

template<class DT, class RT, int n, int m>
virtual int Dune::H1Function< DT, RT, n, m >::order (  )  const [inline, virtual, inherited]

returns order 1

For H1 functions we can implement it here.

Implements Dune::DifferentiableFunction< DT, RT, n, m >.

Reimplemented in Dune::P1Function< GV, RT, LC, m >, Dune::P2Function< GridType, RT, IS, m >, Dune::P1Function< G::LevelGridView, RT, Dune::LevelCommunicate< G >, m >, Dune::P1Function< G::LeafGridView, RT, Dune::LeafCommunicate< G >, m >, Dune::P2Function< G, RT, G::template Codim< 0 >::LevelIndexSet, m >, and Dune::P2Function< G, RT, G::template Codim< 0 >::LeafIndexSet, m >.

template<class DT, class RT, int n, int m>
virtual RT Dune::DifferentiableFunction< DT, RT, n, m >::derivative ( int  comp,
const Dune::FieldVector< int, n > &  d,
const Dune::FieldVector< DT, n > &  x 
) const [pure virtual, inherited]

evaluate partial derivative

Evaluate partial derivative of a component of the vector-valued function.

Parameters:
[in] comp number of component that should be differentiated
[in] d vector giving order of derivative for each variable
[in] x position where derivative is to be evaluated
Returns:
value of the derivative

Implemented in Dune::DifferentiableGridFunctionAdapter< G, RT, m >, Dune::DifferentiableFunctionDefault< DT, RT, n, m >, Dune::P1Function< GV, RT, LC, m >, Dune::GridFunctionGlobalDifferentiationDefault< GV, RT, 1 >, Dune::GridFunctionGlobalDifferentiationDefault< G::LeafGridView, RT, 1 >, Dune::GridFunctionGlobalDifferentiationDefault< G::LevelGridView, RT, 1 >, Dune::P1Function< G::LevelGridView, RT, Dune::LevelCommunicate< G >, m >, and Dune::P1Function< G::LeafGridView, RT, Dune::LeafCommunicate< G >, m >.

template<class GV, class RT, int m>
virtual RT Dune::GridFunctionGlobalDifferentiationDefault< GV, RT, m >::derivative ( int  comp,
const Dune::FieldVector< int, n > &  d,
const Dune::FieldVector< DT, n > &  x 
) const [inline, virtual, inherited]

evaluate partial derivative

Evaluate partial derivative of a component of the vector-valued function.

Parameters:
[in] comp number of component that should be differentiated
[in] d vector giving order of derivative for each variable
[in] x position where derivative is to be evaluated
Returns:
value of the derivative

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

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