BasicGridFunctionAdapter provides local functions for a Function. More...

#include <dune/fem/function/common/gridfunctionadapter.hh>

Inheritance diagram for Dune::Fem::BasicGridFunctionAdapter< FunctionImp, GridPartImp >:

Classes
class	LocalFunction

Public Types
typedef BasicGridFunctionAdapterTraits< FunctionImp, GridPartImp >	Traits
	type of traits

typedef std::decay_t< FunctionImp >	FunctionType
	type of function

typedef GridPartImp	GridPartType
	type of grid part

typedef Traits::DiscreteFunctionSpaceType	DiscreteFunctionSpaceType
	type of discrete function space

typedef Traits::FunctionSpaceType	FunctionSpaceType

typedef DiscreteFunctionSpaceType::GridType	GridType
	type of grid

typedef DiscreteFunctionSpaceType::DomainFieldType	DomainFieldType
	domain type (from function space)

typedef DiscreteFunctionSpaceType::RangeFieldType	RangeFieldType
	range type (from function space)

typedef DiscreteFunctionSpaceType::DomainType	DomainType
	domain type (from function space)

typedef DiscreteFunctionSpaceType::RangeType	RangeType
	range type (from function space)

typedef DiscreteFunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian type (from function space)

typedef Traits::EntityType	EntityType
	type of codim 0 entity

typedef Traits::IntersectionType	IntersectionType

typedef LocalFunction	LocalFunctionType
	type of local function to export

typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian type

typedef Mapping< DomainFieldType, RangeFieldType, DomainType, RangeType >	MappingType
	type of mapping base class

Public Member Functions
	BasicGridFunctionAdapter (std::string name, FunctionImp f, const GridPartType &gridPart, unsigned int order=DiscreteFunctionSpaceType::polynomialOrder)

	BasicGridFunctionAdapter (const ThisType &other)

void	evaluate (const DomainType &global, RangeType &result) const
	evaluate function on local coordinate local

void	jacobian (const DomainType &global, JacobianRangeType &result) const
	evaluate function on local coordinate local

LocalFunctionType	localFunction (const EntityType &entity)

const LocalFunctionType	localFunction (const EntityType &entity) const

const std::string &	name () const
	obtain the name of the discrete function

const DiscreteFunctionSpaceType &	space () const
	obtain a reference to the corresponding DiscreteFunctionSpace

const GridPartType &	gridPart () const

int	order () const
	return true, probably

bool	continuous () const
	return true, probably

virtual void	operator() (const DomainType &arg, RangeType &dest) const
	application operator call evaluate

void	operator() (const DomainType &arg, RangeType &dest) const
	Application operator that applies all operators in the linear combination stack.

void	evaluate (const DomainType &x, RangeType &value) const
	evaluate the function

void	jacobian (const DomainType &x, JacobianRangeType &jacobian) const
	evaluate the Jacobian of the function

void	hessian (const DomainType &x, HessianRangeType &hessian) const
	evaluate the hessian of the function

Protected Member Functions
const Implementation &	asImp () const

Implementation &	asImp ()

Static Protected Member Functions
static const Implementation &	asImp (const ThisType &other)

static Implementation &	asImp (ThisType &other)

static const Implementation &	asImp (const ThisType &other)

static Implementation &	asImp (ThisType &other)

Protected Attributes
DiscreteFunctionSpaceType	space_

FunctionImp	function_

const std::string	name_

Related Functions
(Note that these are not member functions.)
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator+ (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
	add two mappings

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator- (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
	substract two mappings

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator* (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
	scale mapping with factor

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator* (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
	scale mapping with factor

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator/ (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
	operator / for mappings

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator/ (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
	operator / for mappings

Detailed Description

template<class FunctionImp, class GridPartImp>
class Dune::Fem::BasicGridFunctionAdapter< FunctionImp, GridPartImp >

BasicGridFunctionAdapter provides local functions for a Function.

Member Typedef Documentation

◆ HessianRangeType

typedef FunctionSpaceType::HessianRangeType Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::HessianRangeType

inherited

hessian type

◆ MappingType

typedef Mapping< DomainFieldType, RangeFieldType, DomainType, RangeType > Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::MappingType

inherited

type of mapping base class

Member Function Documentation

◆ asImp() [1/6]

Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( )

inlineprotectedinherited

◆ asImp() [2/6]

const Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( ) const

inlineprotectedinherited

◆ asImp() [3/6]

static const Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( const ThisType & other )

inlinestaticprotectedinherited

◆ asImp() [4/6]

template<class Interface , class Implementation >

static const Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( const ThisType & other )

inlinestaticprotectedinherited

◆ asImp() [5/6]

static Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( ThisType & other )

inlinestaticprotectedinherited

◆ asImp() [6/6]

template<class Interface , class Implementation >

static Implementation & Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( ThisType & other )

inlinestaticprotectedinherited

◆ evaluate()

void Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::evaluate	(	const DomainType &	x,
		RangeType &	value
	)		const

inlineinherited

evaluate the function

Parameters

[in]	x	evaluation point
[out]	value	value of the function in x

◆ hessian()

void Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::hessian	(	const DomainType &	x,
		HessianRangeType &	hessian
	)		const

inlineinherited

evaluate the hessian of the function

Parameters

[in]	x	evaluation point
[out]	hessian	value of the hessian in x

◆ jacobian()

void Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::jacobian	(	const DomainType &	x,
		JacobianRangeType &	jacobian
	)		const

inlineinherited

evaluate the Jacobian of the function

Parameters

[in]	x	evaluation point
[out]	jacobian	value of the Jacobian in x

◆ operator()() [1/2]

virtual void Dune::Fem::Function< std::decay_t< FunctionImp >::FunctionSpaceType , BasicGridFunctionAdapter< FunctionImp, GridPartImp > >::operator()	(	const DomainType &	arg,
		RangeType &	dest
	)		const

inlinevirtualinherited

application operator call evaluate

Parameters

[in]	arg	argument
[out]	dest	destination, i.e. f(arg)

◆ operator()() [2/2]

template<typename DFieldType , typename RFieldType , class DType , class RType >

void Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >::operator()	(	const DomainType &	arg,
		RangeType &	dest
	)		const

inlineinherited

Application operator that applies all operators in the linear combination stack.

Parameters

[in]	arg	argument
[out]	dest	destination