Dune::Fem::BasicGridFunctionAdapter< FunctionImp, GridPartImp > Class Template Reference

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

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

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 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 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
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)
	obtain a local function for an entity (read-write) More...
const LocalFunctionType	localFunction (const EntityType &entity) const
	obtain a local function for an entity (read-write) More...
const std::string &	name () const
	obtain the name of the discrete function More...
const DiscreteFunctionSpaceType &	space () const
	obtain a reference to the corresponding DiscreteFunctionSpace More...
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 More...
void	operator() (const DomainType &arg, RangeType &dest) const
	Application operator that applies all operators in the linear combination stack. More...
void	evaluate (const DomainType &x, RangeType &value) const
	evaluate the function More...
void	jacobian (const DomainType &x, JacobianRangeType &jacobian) const
	evaluate the Jacobian of the function More...
void	hessian (const DomainType &x, HessianRangeType &hessian) const
	evaluate the hessian of the function More...

Related Functions
(Note that these are not member functions.)
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator+ (const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &a, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &b)
	add two mappings More...
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator- (const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &a, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &b)
	substract two mappings More...
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator* (const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &mapping, const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &factor)
	scale mapping with factor More...
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator* (const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &factor, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &mapping)
	scale mapping with factor More...
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator/ (const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &mapping, const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &factor)
	operator / for mappings More...
static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >	operator/ (const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &factor, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType, std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType, std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &mapping)
	operator / for mappings More...

Detailed Description

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

BasicGridFunctionAdapter provides local functions for a Function.

Member Function Documentation

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]

void Dune::Fem::Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType >::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

Friends And Related Function Documentation

operator*() [1/2]

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator* ( const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  mapping, const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &  factor  )

related

scale mapping with factor

Parameters

[in]	mapping	Mapping which is scaled
[in]	factor	factor with which mapping is scaled

Returns

new object mapping

operator*() [2/2]

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator* ( const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &  factor, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  mapping  )

related

scale mapping with factor

Parameters

[in]	factor	factor with which mapping is scaled
[in]	mapping	Mapping which is scaled

Returns

new object mapping

operator+()

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator+ ( const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  a, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  b  )

related

add two mappings

Parameters

[in]	a	mapping 1
[in]	b	mapping 2

Returns

new object mapping

operator-()

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator- ( const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  a, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  b  )

related

substract two mappings

Parameters

[in]	a	mapping 1
[in]	b	mapping 2

Returns

new object mapping

operator/() [1/2]

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator/ ( const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  mapping, const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &  factor  )

related

operator / for mappings

Parameters

[in]	mapping	mapping which is divided
[in]	factor	f factor by which result of mapping is divided

Returns

new object mapping

operator/() [2/2]

static Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > operator/ ( const std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType &  factor, const Mapping< std::decay_t< FunctionImp >::FunctionSpaceType ::DomainFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeFieldType , std::decay_t< FunctionImp >::FunctionSpaceType ::DomainType , std::decay_t< FunctionImp >::FunctionSpaceType ::RangeType > &  mapping  )

related

operator / for mappings

Parameters

[in]	factor	by which result of mapping is divided
[in]	mapping	which is divided

Returns

new object mapping

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

• dune/fem/function/common/gridfunctionadapter.hh