Dune::Fem::LocalFunctionAdapter< LocalFunctionImpl > Class Template Reference

LocalFunctionAdapter wrapped a class with a local evaluate method into a grid function. More...

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

Public Types
typedef LocalFunctionImpl	LocalFunctionImplType
	Evaluate class.
typedef BaseType::FunctionType	FunctionType
	type of function
typedef LocalFunctionAdapterTraits< LocalFunctionImplType >	Traits
	traits class
typedef Traits::GridPartType	GridPartType
	type of grid part
typedef Traits::DiscreteFunctionSpaceType	DiscreteFunctionSpaceType
	type of discrete function space
typedef Traits::GridType	GridType
	type of grid
typedef Traits::DomainFieldType	DomainFieldType
	domain type
typedef Traits::RangeFieldType	RangeFieldType
	range type
typedef Traits::DomainType	DomainType
	domain type
typedef Traits::RangeType	RangeType
	range type
typedef Traits::JacobianRangeType	JacobianRangeType
	jacobian type
typedef Traits::EntityType	EntityType
	type of codim 0 entity
typedef Traits::LocalFunctionType	LocalFunctionType
	type of local function to export
typedef LocalFunctionImpl::FunctionSpaceType	FunctionSpaceType
	type of function space this function belongs to
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian type
typedef Mapping< DomainFieldType, RangeFieldType, DomainType, RangeType >	MappingType
	type of mapping base class

Public Member Functions
	LocalFunctionAdapter (const std::string &name, LocalFunctionImplType &localFunctionImpl, const GridPartType &gridPart, unsigned int order=DiscreteFunctionSpaceType::polynomialOrder)
	LocalFunctionAdapter (const std::string &name, const LocalFunctionImplType &localFunctionImpl, const GridPartType &gridPart, unsigned int order=DiscreteFunctionSpaceType::polynomialOrder)
	constructor taking a const reference instance of the local function class
	LocalFunctionAdapter (const std::string &name, LocalFunctionImplType &&localFunctionImpl, const GridPartType &gridPart, unsigned int order=DiscreteFunctionSpaceType::polynomialOrder)
	constructor taking a r-value reference instance of the local function class
template<class ... Args>
	LocalFunctionAdapter (const std::string &name, const GridPartType &gridPart, unsigned int order, Args &... args)
template<class ... Args>
	LocalFunctionAdapter (const std::string &name, const GridPartType &gridPart, const std::tuple< Args &... > &args, unsigned int order=DiscreteFunctionSpaceType::polynomialOrder)
unsigned int	order () const
	return the order of the space
bool	continuous () const
	return true, probably
const LocalFuncStorageType &	localFunctionImpl () const
	return local function implementation
LocalFuncStorageType &	localFunctionImpl ()
	return local function implementation
void	evaluate (const DomainType &global, RangeType &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...
template<class DFType >
DiscreteFunctionType &	operator+= (const DFType &g)
template<class DFType >
DiscreteFunctionType &	operator-= (const DFType &g)
	substract all degrees of freedom from given discrete function using the dof iterators More...
DiscreteFunctionType &	operator*= (const RangeFieldType &scalar)
	multiply all DoFs with a scalar factor More...
DiscreteFunctionType &	operator/= (const RangeFieldType &scalar)
	devide all DoFs by a scalar factor More...
template<class ArgumentType >
void	initialize (const ArgumentType &arg, double time)
	initialize local function with argument and time
void	registerLocalFunction (LocalFunctionType *lf) const
	add LocalFunction to list of local functions
void	deleteLocalFunction (LocalFunctionType *lf) const
	remove LocalFunction to list of local functions
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	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< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator+ (const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &a, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &b)
	add two mappings More...
static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator- (const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &a, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &b)
	substract two mappings More...
static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator* (const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &mapping, const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &factor)
	scale mapping with factor More...
static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator* (const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &factor, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &mapping)
	scale mapping with factor More...
static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator/ (const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &mapping, const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &factor)
	operator / for mappings More...
static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType >	operator/ (const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &factor, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType, LocalFunctionImpl::FunctionSpaceType ::RangeFieldType, LocalFunctionImpl::FunctionSpaceType ::DomainType, LocalFunctionImpl::FunctionSpaceType ::RangeType > &mapping)
	operator / for mappings More...

Detailed Description

template<class LocalFunctionImpl>
class Dune::Fem::LocalFunctionAdapter< LocalFunctionImpl >

LocalFunctionAdapter wrapped a class with a local evaluate method into a grid function.

The class takes one template argument LocalFunctionImpl which holds the method evaluate(...) to evaluate the local function

template<class PointType> LocalFunctionImpl::evaluate(const PointType& x,RangeType& val)

and a method init(...)

LocalFunctionImpl::init(const EntityType& entity)

to set the entity.

It is important to know that the point x it is not necessary of type DomainType. More precisely, if the evaluate(...) is used with a caching quadrature point the type is different. Indeed floating point coordinates are not very well suited to address the cache therefore quadrature[i] return a QuadraturePointWrapper (which simply stores a reference to the quadrature and the index i).

In order to be sure that the point x is of type DomainType, you can use the function coordinate(x) which can be also called with a DomainType.

Therefore, the local implementation should be something like

template<class PointType> LocalFunctionImpl::evaluate(const PointType& x,RangeType& val) { const DomainType xDomain(coordiante(x)); // do stuff with xDomain }

to avoid type conflicts.

Required type in LocalFunctionImpl are:

FunctionSpaceType GridPartType EntityType DomainType RangeType

An instance of the LocalFunctionImpl class is passed to the constructor.

In order to adapt a lambda or a plain C++ function, you can directly use the LocalAnalyticalFunctionBinder which provides all the necessary types and methods.

Member Function Documentation

hessian()

void Dune::Fem::Function< LocalFunctionImpl::FunctionSpaceType , LocalFunctionAdapter< LocalFunctionImpl > >::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< LocalFunctionImpl::FunctionSpaceType , LocalFunctionAdapter< LocalFunctionImpl > >::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< LocalFunctionImpl::FunctionSpaceType , LocalFunctionAdapter< LocalFunctionImpl > >::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< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::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< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > operator* ( const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &  factor, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::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*() [2/2]

static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > operator* ( const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > &  mapping, const LocalFunctionImpl::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+()

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

related

add two mappings

Parameters

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

Returns

new object mapping

operator-()

static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > operator- ( const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > &  a, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::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< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > operator/ ( const LocalFunctionImpl::FunctionSpaceType ::RangeFieldType &  factor, const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::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

operator/() [2/2]

static Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > operator/ ( const Mapping< LocalFunctionImpl::FunctionSpaceType ::DomainFieldType , LocalFunctionImpl::FunctionSpaceType ::RangeFieldType , LocalFunctionImpl::FunctionSpaceType ::DomainType , LocalFunctionImpl::FunctionSpaceType ::RangeType > &  mapping, const LocalFunctionImpl::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

---

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

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