#include <constantspace.hh>

Detailed Description

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

A FE mapper class for FE spaces of globally constant functions. These can be interpreted as scalar variables as well, but the interpretation as constant functions allows for easy integration into the usual assembly framework. Since the FE space has dimension 1, there is exactly one degree of freedom.

Definition at line 33 of file constantspace.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...

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

struct	Element

Public Types
typedef ScalarType	Scalar

typedef GV	GridView

typedef GridView::Grid	Grid

typedef GridView::IndexSet	IndexSet

using	ctype = typename GridView::ctype

using	Cell = Kaskade::Cell< GridView >

typedef LagrangeSimplexShapeFunctionSet< ctype, dim, ScalarType >	ShapeFunctionSetImplementation

typedef LagrangeShapeFunctionSetContainer< ctype, dim, ScalarType >::value_type	ShapeFunctionSet

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

Public Member Functions
	ConstantMapper (GridView const &gridView)

virtual	~ConstantMapper ()

ShapeFunctionSet const &	shapefunctions (Cell const &cell) const

ShapeFunctionSet const &	shapefunctions (size_t) const

int	maxOrder () const
	Returns the maximal polynomial order of shape functions encountered in any cell. More...

GlobalIndexRange	initGlobalIndexRange () const
	Returns an empty range just for initialization purposes, since RangeView is not default constructible. More...

GlobalIndexRange	globalIndices (typename Grid::template Codim< 0 >::Entity const &) const
	Returns a const sequence containing the global indices of the shape functions associated to this cell. More...

GlobalIndexRange	globalIndices (size_t) const
	Returns a const sequence containing the global indices of the shape functions associated to this cell. More...

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

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

size_t	size () const
	Returns the number of global degrees of freedom managed. More...

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

void	update ()
	Recomputes the internal information after grid changes. Since there is no internal state of this trivial mapper, this method does exactly nothing. 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 int const	maxLocalSize = 1

static int const	continuity = std::numeric_limits<int>::max()-1
	Continuity index. Since constant functions are \( C^\infty \), even analytic, this is infinity (or as close as int comes to infinity). More...

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

Member Typedef Documentation

◆ Cell

template<class ScalarType , class GV >

using Kaskade::ConstantMapper< ScalarType, GV >::Cell = Kaskade::Cell<GridView>

Definition at line 48 of file constantspace.hh.

◆ ctype

template<class ScalarType , class GV >

using Kaskade::ConstantMapper< ScalarType, GV >::ctype = typename GridView::ctype

Definition at line 43 of file constantspace.hh.

◆ GlobalIndexRange

template<class ScalarType , class GV >

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

Definition at line 51 of file constantspace.hh.

◆ Grid

template<class ScalarType , class GV >

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

Definition at line 41 of file constantspace.hh.

◆ GridView

template<class ScalarType , class GV >

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

Definition at line 40 of file constantspace.hh.

◆ IndexPair

template<class ScalarType , class GV >

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

Definition at line 53 of file constantspace.hh.

◆ IndexSet

template<class ScalarType , class GV >

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

Definition at line 42 of file constantspace.hh.

◆ Scalar

template<class ScalarType , class GV >

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

Definition at line 38 of file constantspace.hh.

◆ ShapeFunctionSet

template<class ScalarType , class GV >

typedef LagrangeShapeFunctionSetContainer<ctype,dim,ScalarType>::value_type Kaskade::ConstantMapper< ScalarType, GV >::ShapeFunctionSet

Definition at line 50 of file constantspace.hh.

◆ ShapeFunctionSetImplementation

template<class ScalarType , class GV >

typedef LagrangeSimplexShapeFunctionSet<ctype,dim,ScalarType> Kaskade::ConstantMapper< ScalarType, GV >::ShapeFunctionSetImplementation

Definition at line 49 of file constantspace.hh.

◆ SortedIndexIterator

template<class ScalarType , class GV >

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

Definition at line 54 of file constantspace.hh.

◆ SortedIndexRange

template<class ScalarType , class GV >

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

Definition at line 55 of file constantspace.hh.

Constructor & Destructor Documentation

◆ ConstantMapper()

template<class ScalarType , class GV >

Kaskade::ConstantMapper< ScalarType, GV >::ConstantMapper ( GridView const & gridView )

inline

Definition at line 74 of file constantspace.hh.

◆ ~ConstantMapper()

template<class ScalarType , class GV >

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

inlinevirtual

Definition at line 82 of file constantspace.hh.

Member Function Documentation

◆ combiner()

template<class ScalarType , class GV >

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

inline

Returns a combiner for the given cell.

Definition at line 246 of file constantspace.hh.

◆ globalIndices() [1/2]

template<class ScalarType , class GV >

GlobalIndexRange Kaskade::ConstantMapper< ScalarType, GV >::globalIndices ( size_t ) 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 130 of file constantspace.hh.

◆ globalIndices() [2/2]

template<class ScalarType , class GV >

GlobalIndexRange Kaskade::ConstantMapper< ScalarType, GV >::globalIndices ( typename Grid::template Codim< 0 >::Entity const & ) 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 119 of file constantspace.hh.

◆ initGlobalIndexRange()

template<class ScalarType , class GV >

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

inline

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

Definition at line 108 of file constantspace.hh.

◆ initSortedIndexRange()

template<class ScalarType , class GV >

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

inlinestatic

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

Definition at line 138 of file constantspace.hh.

◆ maxOrder()

template<class ScalarType , class GV >

int Kaskade::ConstantMapper< ScalarType, GV >::maxOrder ( ) const

inline

Returns the maximal polynomial order of shape functions encountered in any cell.

Definition at line 99 of file constantspace.hh.

◆ shapefunctions() [1/2]

template<class ScalarType , class GV >

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

inline

Definition at line 84 of file constantspace.hh.

◆ shapefunctions() [2/2]

template<class ScalarType , class GV >

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

inline

Definition at line 89 of file constantspace.hh.

◆ size()

template<class ScalarType , class GV >

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

inline

Returns the number of global degrees of freedom managed.

Definition at line 163 of file constantspace.hh.

◆ sortedIndices() [1/2]

template<class ScalarType , class GV >

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

inline

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

Definition at line 147 of file constantspace.hh.

◆ sortedIndices() [2/2]

template<class ScalarType , class GV >

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

inline

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

Definition at line 155 of file constantspace.hh.

◆ update()

template<class ScalarType , class GV >

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

inline

Recomputes the internal information after grid changes. Since there is no internal state of this trivial mapper, this method does exactly nothing.

Definition at line 255 of file constantspace.hh.

Member Data Documentation

◆ continuity

template<class ScalarType , class GV >

int const Kaskade::ConstantMapper< ScalarType, GV >::continuity = std::numeric_limits<int>::max()-1

static

Continuity index. Since constant functions are \( C^\infty \), even analytic, this is infinity (or as close as int comes to infinity).

Definition at line 61 of file constantspace.hh.

◆ dim

template<class ScalarType , class GV >

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

static

Definition at line 45 of file constantspace.hh.

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

◆ globalSupport

template<class ScalarType , class GV >

bool const Kaskade::ConstantMapper< ScalarType, GV >::globalSupport = true

static

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

Definition at line 66 of file constantspace.hh.

◆ maxLocalSize

template<class ScalarType , class GV >

int const Kaskade::ConstantMapper< ScalarType, GV >::maxLocalSize = 1

static

Definition at line 46 of file constantspace.hh.

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

constantspace.hh

Detailed Description

Classes

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Cell

◆ ctype

◆ GlobalIndexRange

◆ Grid

◆ GridView

◆ IndexPair

◆ IndexSet

◆ Scalar

◆ ShapeFunctionSet

◆ ShapeFunctionSetImplementation

◆ SortedIndexIterator

◆ SortedIndexRange

Constructor & Destructor Documentation

◆ ConstantMapper()

◆ ~ConstantMapper()

Member Function Documentation

◆ combiner()

◆ globalIndices() [1/2]

◆ globalIndices() [2/2]

◆ initGlobalIndexRange()

◆ initSortedIndexRange()

◆ maxOrder()

◆ shapefunctions() [1/2]

◆ shapefunctions() [2/2]

◆ size()

◆ sortedIndices() [1/2]

◆ sortedIndices() [2/2]

◆ update()

Member Data Documentation

◆ continuity

◆ dim

◆ globalSupport

◆ maxLocalSize