Dune::Fufem::Forms::BoundUnaryOperator< Op, V > Class Template Reference

Wrapper binding a linear operator to a coefficient vector. More...

#include <dune/fufem/forms/boundunaryoperator.hh>

Inheritance diagram for Dune::Fufem::Forms::BoundUnaryOperator< Op, V >:

Classes
class	LocalOperator

Public Types
using	Basis = std::decay_t< decltype(std::get< 0 >(std::declval< UnaryOperator >().basis()))>
using	Vector = V
using	Coefficient = Dune::AutonomousValue< decltype(std::declval< Vector >()[std::declval< typename Basis::MultiIndex >()])>
using	GridView = typename Basis::GridView
using	EntitySet = typename Dune::Functions::GridViewEntitySet< GridView, 0 >
using	Domain = typename EntitySet::GlobalCoordinate
using	LocalDomain = typename EntitySet::LocalCoordinate
using	Element = typename EntitySet::Element
using	Range = std::decay_t< decltype(std::declval< Coefficient >() *std::declval< typename UnaryOperator::Range >())>

Public Member Functions
	BoundUnaryOperator (const UnaryOperator &unaryOperator, const Vector &coefficients)
	BoundUnaryOperator (const UnaryOperator &unaryOperator, Vector &&coefficients)
	BoundUnaryOperator (const UnaryOperator &unaryOperator, std::shared_ptr< const Vector > coefficients)
auto	basis () const
auto	treePath () const
Range	operator() (const Domain &x) const
	Evaluate function in global coordinates.
const EntitySet &	entitySet () const
	Get associated set of entities the local-function can be bound to.
const auto &	unaryOperator () const
const auto &	coefficients () const

Static Public Attributes
static constexpr std::size_t	arity

Friends
LocalOperator	localOperator (const BoundUnaryOperator &boundUnaryOperator)
template<bool dummy = true, std::enable_if_t< dummy and(BoundUnaryOperator::arity==0), int > = 0>
LocalFunctionAdaptor< LocalOperator >	localFunction (const BoundUnaryOperator &boundUnaryOperator)
auto	jacobian (const BoundUnaryOperator &f)
auto	gradient (const BoundUnaryOperator &f)
auto	grad (const BoundUnaryOperator &f)
auto	divergence (const BoundUnaryOperator &f)
auto	div (const BoundUnaryOperator &f)

Detailed Description

template<class Op, class V>
class Dune::Fufem::Forms::BoundUnaryOperator< Op, V >

Wrapper binding a linear operator to a coefficient vector.

Template Parameters

Op	Type of unary operator to be bound
V	Type of coefficient vector

Given a 1-linear operator on discrete function space associated to a basis, this returns the 0-linear operator obtained by application of the operator to the element of the function space represented by the coefficient vector.

The return value implements both, the Dune::Fufem::Forms interface of a 0-linear operator and the Dune::Functions interface of a GridFunction. Thus it can be used as coefficient in composed Dune::Fufem::Form expressions or in places requiring a GridFunction, e.g., for writing to vtk-files.

Member Typedef Documentation

Basis

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Basis = std::decay_t<decltype(std::get<0>(std::declval<UnaryOperator>().basis()))>

Coefficient

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Coefficient = Dune::AutonomousValue<decltype(std::declval<Vector>()[std::declval<typename Basis::MultiIndex>()])>

Domain

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Domain = typename EntitySet::GlobalCoordinate

Element

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Element = typename EntitySet::Element

EntitySet

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::EntitySet = typename Dune::Functions::GridViewEntitySet<GridView, 0>

GridView

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::GridView = typename Basis::GridView

LocalDomain

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::LocalDomain = typename EntitySet::LocalCoordinate

Range

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Range = std::decay_t<decltype(std::declval<Coefficient>() * std::declval<typename UnaryOperator::Range>())>

Vector

template<class Op , class V >

using Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::Vector = V

Constructor & Destructor Documentation

BoundUnaryOperator() [1/3]

template<class Op , class V >

Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::BoundUnaryOperator ( const UnaryOperator &  unaryOperator, const Vector &  coefficients  )

inline

BoundUnaryOperator() [2/3]

template<class Op , class V >

Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::BoundUnaryOperator ( const UnaryOperator &  unaryOperator, Vector &&  coefficients  )

inline

BoundUnaryOperator() [3/3]

template<class Op , class V >

Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::BoundUnaryOperator ( const UnaryOperator &  unaryOperator, std::shared_ptr< const Vector >  coefficients  )

inline

Member Function Documentation

basis()

template<class Op , class V >

auto Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::basis ( ) const

inline

coefficients()

template<class Op , class V >

const auto & Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::coefficients ( ) const

inline

entitySet()

template<class Op , class V >

const EntitySet & Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::entitySet ( ) const

inline

Get associated set of entities the local-function can be bound to.

operator()()

template<class Op , class V >

Range Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::operator() ( const Domain &  x ) const

inline

Evaluate function in global coordinates.

Note

This is not implemented and will throw an exception.

treePath()

template<class Op , class V >

auto Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::treePath ( ) const

inline

unaryOperator()

template<class Op , class V >

const auto & Dune::Fufem::Forms::BoundUnaryOperator< Op, V >::unaryOperator ( ) const

inline

Friends And Related Symbol Documentation

div

template<class Op , class V >

auto div ( const BoundUnaryOperator< Op, V > &  f )

friend

divergence

template<class Op , class V >

auto divergence ( const BoundUnaryOperator< Op, V > &  f )

friend

grad

template<class Op , class V >

auto grad ( const BoundUnaryOperator< Op, V > &  f )

friend

gradient

template<class Op , class V >

auto gradient ( const BoundUnaryOperator< Op, V > &  f )

friend

jacobian

template<class Op , class V >

auto jacobian ( const BoundUnaryOperator< Op, V > &  f )

friend

localFunction

template<class Op , class V >

template<bool dummy = true, std::enable_if_t< dummy and(BoundUnaryOperator::arity==0), int > = 0>

LocalFunctionAdaptor< LocalOperator > localFunction ( const BoundUnaryOperator< Op, V > &  boundUnaryOperator )

friend

localOperator

template<class Op , class V >

LocalOperator localOperator ( const BoundUnaryOperator< Op, V > &  boundUnaryOperator )

friend

Member Data Documentation

arity

constexpr std::size_t Dune::Fufem::Forms::MultilinearOperator< k >::arity

staticconstexprinherited

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

• boundunaryoperator.hh