Degrees of freedom manager for Nedelec edge elements. More...

#include <nedelecspace.hh>

Detailed Description

template<class ScalarType, class GV>
class Kaskade::NedelecMapper< ScalarType, GV >

Degrees of freedom manager for Nedelec edge elements.

Template Parameters

ScalarType	scalar type
GV	grid view

Definition at line 523 of file nedelecspace.hh.

Classes
class	Combiner
	A class implementing a matrix \( K \) mapping a subset of global degrees of freedom (those given by globalIndices()) to local degrees of freedom (shape functions). More...

Public Types
typedef ScalarType RT	__attribute__((deprecated))

typedef ScalarType	Scalar

typedef GV	GridView

typedef GridView::Grid	Grid

typedef GridView::IndexSet	IndexSet

typedef bool	ConstructorArgument

typedef RangeView< std::vector< size_t >::const_iterator >	GlobalIndexRange

typedef std::pair< size_t, int >	IndexPair

typedef std::vector< IndexPair >::const_iterator	SortedIndexIterator

typedef RangeView< SortedIndexIterator >	SortedIndexRange

typedef Grid::template Codim< 0 >::Entity	Cell

typedef NedelecShapeFunctionSetContainer< typenameGrid::ctype, dim, Scalar >::value_type	ShapeFunctionSet

typedef HcurlConverter< Grid >	Converter
	A class mapping local shape function values and derivatives to global shape function values and derivatives. More...

Public Member Functions
	NedelecMapper (GridView const &gridView_, bool)
	Constructs a NedelecMapper for a given grid view. The second parameter is unused and only specified for interface consistency. More...

virtual	~NedelecMapper ()

ShapeFunctionSet const &	shapefunctions (Cell const &cell) const

ShapeFunctionSet const &	shapefunctions (size_t n) const

GlobalIndexRange	initGlobalIndexRange () const

GlobalIndexRange	globalIndices (Cell const &cell) const

GlobalIndexRange	globalIndices (size_t n) const

SortedIndexRange	sortedIndices (Cell const &cell) const
	Returns an immutable sequence of (global index, local index) pairs sorted in ascending global index order. More...

SortedIndexRange	sortedIndices (size_t n) const
	Returns an immutable sequence of (global index, local index) pairs sorted in ascending global index order. More...

size_t	size () const

Combiner	combiner (Cell const &cell, size_t index) const

void	update ()
	(Re)computes the internal data. More...

Static Public Member Functions
static SortedIndexRange	initSortedIndexRange ()
	Returns an empty range just for initialization, since RangeView is not default constructible. More...

Static Public Attributes
static int const	dim = Grid::dimension

static bool const	globalSupport = false
	Whether the ansatz functions have global support (i.e. lead to dense matrices). More...

static int const	continuity = -1

Member Typedef Documentation

◆ attribute

template<class ScalarType , class GV >

typedef ScalarType RT Kaskade::NedelecMapper< ScalarType, GV >::__attribute__((deprecated))

Definition at line 526 of file nedelecspace.hh.

◆ Cell

template<class ScalarType , class GV >

typedef Grid::template Codim<0>::Entity Kaskade::NedelecMapper< ScalarType, GV >::Cell

Definition at line 549 of file nedelecspace.hh.

◆ ConstructorArgument

template<class ScalarType , class GV >

typedef bool Kaskade::NedelecMapper< ScalarType, GV >::ConstructorArgument

Definition at line 541 of file nedelecspace.hh.

◆ Converter

template<class ScalarType , class GV >

typedef HcurlConverter<Grid> Kaskade::NedelecMapper< ScalarType, GV >::Converter

A class mapping local shape function values and derivatives to global shape function values and derivatives.

Definition at line 646 of file nedelecspace.hh.

◆ GlobalIndexRange

template<class ScalarType , class GV >

typedef RangeView<std::vector<size_t>::const_iterator> Kaskade::NedelecMapper< ScalarType, GV >::GlobalIndexRange

Definition at line 543 of file nedelecspace.hh.

◆ Grid

template<class ScalarType , class GV >

typedef GridView::Grid Kaskade::NedelecMapper< ScalarType, GV >::Grid

Definition at line 531 of file nedelecspace.hh.

◆ GridView

template<class ScalarType , class GV >

typedef GV Kaskade::NedelecMapper< ScalarType, GV >::GridView

Definition at line 530 of file nedelecspace.hh.

◆ IndexPair

template<class ScalarType , class GV >

typedef std::pair<size_t,int> Kaskade::NedelecMapper< ScalarType, GV >::IndexPair

Definition at line 545 of file nedelecspace.hh.

◆ IndexSet

template<class ScalarType , class GV >

typedef GridView::IndexSet Kaskade::NedelecMapper< ScalarType, GV >::IndexSet

Definition at line 532 of file nedelecspace.hh.

◆ Scalar

template<class ScalarType , class GV >

typedef ScalarType Kaskade::NedelecMapper< ScalarType, GV >::Scalar

Definition at line 527 of file nedelecspace.hh.

◆ ShapeFunctionSet

template<class ScalarType , class GV >

typedef NedelecShapeFunctionSetContainer<typenameGrid::ctype,dim,Scalar>::value_type Kaskade::NedelecMapper< ScalarType, GV >::ShapeFunctionSet

Definition at line 550 of file nedelecspace.hh.

◆ SortedIndexIterator

template<class ScalarType , class GV >

typedef std::vector<IndexPair>::const_iterator Kaskade::NedelecMapper< ScalarType, GV >::SortedIndexIterator

Definition at line 546 of file nedelecspace.hh.

◆ SortedIndexRange

template<class ScalarType , class GV >

typedef RangeView<SortedIndexIterator> Kaskade::NedelecMapper< ScalarType, GV >::SortedIndexRange

Definition at line 547 of file nedelecspace.hh.

Constructor & Destructor Documentation

◆ NedelecMapper()

template<class ScalarType , class GV >

Kaskade::NedelecMapper< ScalarType, GV >::NedelecMapper	(	GridView const &	gridView_,
		bool
	)

inline

Constructs a NedelecMapper for a given grid view. The second parameter is unused and only specified for interface consistency.

Definition at line 556 of file nedelecspace.hh.

◆ ~NedelecMapper()

template<class ScalarType , class GV >

virtual Kaskade::NedelecMapper< ScalarType, GV >::~NedelecMapper ( )

inlinevirtual

Definition at line 570 of file nedelecspace.hh.

Member Function Documentation

◆ combiner()

template<class ScalarType , class GV >

Combiner Kaskade::NedelecMapper< ScalarType, GV >::combiner	(	Cell const &	cell,
		size_t	index
	)		const

inline

Returns a combiner for the given cell.

Parameters

cell	the grid cell for which the combiner is requested
index	the index of the cell

Definition at line 744 of file nedelecspace.hh.

◆ globalIndices() [1/2]

template<class ScalarType , class GV >

GlobalIndexRange Kaskade::NedelecMapper< ScalarType, GV >::globalIndices ( Cell const & cell ) const

inline

Returns a const sequence containing the global indices of the shape functions associated to this cell. Global indices start at 0 and are consecutive.

Definition at line 598 of file nedelecspace.hh.

Referenced by Kaskade::NedelecMapper< ScalarType, GV >::globalIndices().

◆ globalIndices() [2/2]

template<class ScalarType , class GV >

GlobalIndexRange Kaskade::NedelecMapper< ScalarType, GV >::globalIndices ( size_t n ) const

inline

Returns a const sequence containing the global indices of the shape functions associated to this cell. Global indices start at 0 and are consecutive.

Definition at line 608 of file nedelecspace.hh.

◆ initGlobalIndexRange()

template<class ScalarType , class GV >

GlobalIndexRange Kaskade::NedelecMapper< ScalarType, GV >::initGlobalIndexRange ( ) const

inline

Returns an empty range just for initialization purposes, since RangeView is not default constructible.

Definition at line 588 of file nedelecspace.hh.

◆ initSortedIndexRange()

template<class ScalarType , class GV >

static SortedIndexRange Kaskade::NedelecMapper< ScalarType, GV >::initSortedIndexRange ( )

inlinestatic

Returns an empty range just for initialization, since RangeView is not default constructible.

Definition at line 616 of file nedelecspace.hh.

◆ shapefunctions() [1/2]

template<class ScalarType , class GV >

ShapeFunctionSet const & Kaskade::NedelecMapper< ScalarType, GV >::shapefunctions ( Cell const & cell ) const

inline

Definition at line 572 of file nedelecspace.hh.

Referenced by Kaskade::NedelecMapper< ScalarType, GV >::update().

◆ shapefunctions() [2/2]

template<class ScalarType , class GV >

ShapeFunctionSet const & Kaskade::NedelecMapper< ScalarType, GV >::shapefunctions ( size_t n ) const

inline

Definition at line 578 of file nedelecspace.hh.

◆ size()

template<class ScalarType , class GV >

size_t Kaskade::NedelecMapper< ScalarType, GV >::size ( ) const

inline

Returns the number of global degrees of freedom managed.

Definition at line 641 of file nedelecspace.hh.

◆ sortedIndices() [1/2]

template<class ScalarType , class GV >

SortedIndexRange Kaskade::NedelecMapper< ScalarType, GV >::sortedIndices ( Cell const & cell ) const

inline

Returns an immutable sequence of (global index, local index) pairs sorted in ascending global index order.

Definition at line 625 of file nedelecspace.hh.

Referenced by Kaskade::NedelecMapper< ScalarType, GV >::sortedIndices().

◆ sortedIndices() [2/2]

template<class ScalarType , class GV >

SortedIndexRange Kaskade::NedelecMapper< ScalarType, GV >::sortedIndices ( size_t n ) const

inline

Returns an immutable sequence of (global index, local index) pairs sorted in ascending global index order.

Definition at line 633 of file nedelecspace.hh.

◆ update()

template<class ScalarType , class GV >

void Kaskade::NedelecMapper< ScalarType, GV >::update ( )

inline

(Re)computes the internal data.

This has to be called after grid modifications.

Definition at line 755 of file nedelecspace.hh.

Referenced by Kaskade::NedelecMapper< ScalarType, GV >::NedelecMapper().

Member Data Documentation

◆ continuity

template<class ScalarType , class GV >

int const Kaskade::NedelecMapper< ScalarType, GV >::continuity = -1

static

Definition at line 542 of file nedelecspace.hh.

◆ dim

template<class ScalarType , class GV >

int const Kaskade::NedelecMapper< ScalarType, GV >::dim = Grid::dimension

static

Definition at line 534 of file nedelecspace.hh.

Referenced by Kaskade::NedelecMapper< ScalarType, GV >::Combiner::Combiner(), Kaskade::NedelecMapper< ScalarType, GV >::NedelecMapper(), Kaskade::NedelecMapper< ScalarType, GV >::shapefunctions(), Kaskade::NedelecMapper< ScalarType, GV >::size(), and Kaskade::NedelecMapper< ScalarType, GV >::update().

◆ globalSupport

template<class ScalarType , class GV >

bool const Kaskade::NedelecMapper< ScalarType, GV >::globalSupport = false

static

Whether the ansatz functions have global support (i.e. lead to dense matrices).

Definition at line 539 of file nedelecspace.hh.

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

nedelecspace.hh

Detailed Description

Classes

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ __attribute__

◆ Cell

◆ ConstructorArgument

◆ Converter

◆ GlobalIndexRange

◆ Grid

◆ GridView

◆ IndexPair

◆ IndexSet

◆ Scalar

◆ ShapeFunctionSet

◆ SortedIndexIterator

◆ SortedIndexRange

Constructor & Destructor Documentation

◆ NedelecMapper()

◆ ~NedelecMapper()

Member Function Documentation

◆ combiner()

◆ globalIndices() [1/2]

◆ globalIndices() [2/2]

◆ initGlobalIndexRange()

◆ initSortedIndexRange()

◆ shapefunctions() [1/2]

◆ shapefunctions() [2/2]

◆ size()

◆ sortedIndices() [1/2]

◆ sortedIndices() [2/2]

◆ update()

Member Data Documentation

◆ continuity

◆ dim

◆ globalSupport

◆ attribute