Classes to define finite element spaces and functions on them. More...

Modules
	Working with finite element functions
	Tools for representing and working with finite element functions.

	Grid Management
	Tools for managing grids and their refinement, and for iterating over grids.

Classes
class	Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >
	A class for representing displaced/deformed boundary faces. More...

class	Kaskade::BoundaryLocator< GridView, Function, dimw >

class	Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >
	A local to global mapper implementation for boundary spaces, with functions defined on the domain boundary (or parts of it) only. More...

struct	Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::Element< m >
	Type of the FunctionSpaceElement, associated to the FEFunctionSpace. More...

class	Kaskade::CellLocator< GridView, dimw >

class	Kaskade::DiagonalCombiner< Scalar >
	A base class for implementing combiners with diagonal structure. More...

struct	Kaskade::SpaceType< Spaces, Idx >
	Extracts the type of FE space with given index from set of spaces. More...

class	Kaskade::FunctionSpaceElement< FunctionSpace, m >
	A class for representing finite element functions. More...

class	Kaskade::FEFunctionSpace< LocalToGlobalMapper >
	A representation of a finite element function space defined over a domain covered by a grid. More...

class	Kaskade::HierarchicSimplexShapeFunction< ctype, dimension, Scalar >
	Scalar hierarchic shape functions on the unit simplex. More...

class	Kaskade::DiscontinuousHierarchicMapper< Scalar, GV >
	A degrees of freedom manager for FEFunctionSpace s of piecewise polynomials of order Order. More...

class	Kaskade::ContinuousHierarchicMapper< Scalar, GV >
	A degrees of freedom manager for globally continuous FEFunctionSpace s of piecewise polynomials. More...

class	Kaskade::DiscontinuousHierarchicExtensionMapper< Scalar, GV >
	A degrees of freedom manager for FEFunctionSpace s of piecewise polynomials of given order. More...

class	Kaskade::ContinuousHierarchicExtensionMapper< Scalar, GV >
	A degrees of freedom manager for globally continuous FEFunctionSpace s of piecewise polynomials. More...

class	Kaskade::EquidistantLagrange< dim, Real >
	Lagrange shape functions on an equidistant grid over the simplex. These are polynomial basis functions \( p_i \) over the unit simplex, together with interpolation nodes \( \xi_j \), such that \( p_i(\xi_j) = \delta_{ij} \) holds. More...

class	Kaskade::DiscontinuousLagrangeMapper< ScalarType, GV >
	A degrees of freedom manager for FEFunctionSpace s of piecewise polynomials of order Order. More...

class	Kaskade::ContinuousLagrangeMapper< ScalarType, GV >
	A degrees of freedom manager for globally continuous FEFunctionSpace s of piecewise polynomials. More...

class	Kaskade::ContinuousLagrangeMapperSubdomain< GV, SupportOracle, ScalarType >
	A local-to-global mapper for continuous finite elements on a subdomain. More...

class	Kaskade::MorleyMapper< ScalarType, GV >
	Degrees of freedom manager for Morley nonconforming elements. More...

class	Kaskade::VectorialConverterBase< GridView >
	A class mapping local vectorial shape function values and gradients to global shape function values and gradients. More...

class	Kaskade::HcurlConverter< GridView >
	A class mapping local vectorial shape function values and gradients to global shape function values and gradients in \( H(\text{curl}) \) conforming FE spaces. More...

class	Kaskade::HdivConverter< GridView >
	A class mapping local vectorial shape function values and gradients to global shape function values and gradients in \( H(\text{div}) \) conforming FE spaces. More...

class	Kaskade::HdivMapper< ScalarType, GV >
	Degrees of freedom manager for H(div) conforming elements. More...

class	Kaskade::NedelecMapper< ScalarType, GV >
	Degrees of freedom manager for Nedelec edge elements. More...

class	Kaskade::UniformPartitionedMapper< Implementation, Tagger, SFData >
	Base class for piecewise continuous mappers. More...

class	Kaskade::PiecewiseContinuousLagrangeMapper< Tagger, GV, ScalarType >
	A degrees of freedom manager for piecewise continuous FEFunctionSpace s of local polynomials. More...

class	Kaskade::ShapeFunction< ctype, dim, T, comp >
	Shape functions. More...

class	Kaskade::ShapeFunctionSet< ctype, dimension, T, comp >
	A set of shape functions. More...

struct	Kaskade::QuadratureTraits< QuadRule >
	A cache that stores suitable quadrature rules for quick retrieval. More...

struct	Kaskade::QuadratureTraits< Dune::QuadratureRule< ctype, dim > >
	A cache that stores suitable quadrature rules for quick retrieval. More...

class	Kaskade::UniformScalarMapper< Implementation, SFData >
	Base class for uniform scalar local to global mappers. More...

struct	Kaskade::VariationalArg< Scalar, dim, components >
	A class that stores values, gradients, and Hessians of evaluated shape functions. More...

class	Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >
	This class caches values and derivatives of shape functions at quadrature points. More...

Typedefs
template<class Spaces >
using	Kaskade::Evaluators = typename boost::fusion::result_of::as_vector< typename boost::fusion::result_of::transform< Spaces, GetEvaluatorTypes >::type >::type
	the heterogeneous sequence type of Evaluators for the given spaces More...

template<int m>
using	Kaskade::DiscontinuousLagrangeMapperSubdomain< ScalarType, GV >::Element_t = FunctionSpaceElement< FEFunctionSpace< Self >, m >
	Type of the FunctionSpaceElement, associated to the FEFunctionSpace. More...

template<int m>
using	Kaskade::ContinuousLagrangeMapperSubdomain< GV, SupportOracle, ScalarType >::Element_t = FunctionSpaceElement< FEFunctionSpace< ContinuousLagrangeMapperSubdomain >, m >
	Type of the FunctionSpaceElement, associated to the FEFunctionSpace. More...

template<class Grid , class Scalar = double>
using	Kaskade::ConstantSpace = FEFunctionSpace< ConstantMapper< Scalar, typename Grid::LeafGridView > >
	A finite element space of globally constant functions on the leaf grid view. More...

template<class Grid , class Scalar = double>
using	Kaskade::H1Space = FEFunctionSpace< ContinuousLagrangeMapper< Scalar, typename Grid::LeafGridView > >
	An \( H^1 \) conforming finite element space on the leaf grid view with Lagrange basis. More...

template<class Grid , class Scalar = double>
using	Kaskade::H1HierarchicSpace = FEFunctionSpace< ContinuousHierarchicMapper< Scalar, typename Grid::LeafGridView > >
	An \( H^1 \) conforming finite element space on the leaf grid view with hierarchic basis. More...

template<class Grid , class Scalar = double>
using	Kaskade::H1HierarchicExtensionSpace = FEFunctionSpace< ContinuousHierarchicExtensionMapper< Scalar, typename Grid::LeafGridView > >
	An \( H^1 \) conforming finite element extension space on the leaf grid view with hierarchic basis. More...

template<class Grid , class Scalar = double>
using	Kaskade::L2Space = FEFunctionSpace< DiscontinuousLagrangeMapper< Scalar, typename Grid::LeafGridView > >
	An \( L^2 \) conforming finite element space on the leaf grid view with Lagrange basis. More...

template<class Grid , class Scalar = double>
using	Kaskade::L2HierarchicSpace = FEFunctionSpace< DiscontinuousHierarchicMapper< Scalar, typename Grid::LeafGridView > >
	An \( L^2 \) conforming finite element space on the leaf grid view with hierarchic basis. More...

template<class Grid , class Scalar = double>
using	Kaskade::L2HierarchicExtensionSpace = FEFunctionSpace< DiscontinuousHierarchicExtensionMapper< Scalar, typename Grid::LeafGridView > >
	An \( L^2 \) conforming finite element extension space on the leaf grid view with hierarchic basis. More...

Functions
template<size_t dim>
std::array< int, dim+1 >	Kaskade::barycentric (std::array< int, dim > const &x, int bsum)
	Converts integer coordinate index to barycentric indices. More...

template<class Scalar , int dim>
Vector< Scalar, dim >	Kaskade::Simplex::cellInterpolation (VertexPositions< Scalar, dim > const &vertices, EdgeDirections< Scalar, dim > const &boundaryEdges, FaceFlags< dim > const &isBoundaryFace, Barycentric< Scalar, dim > b)
	Computes a boundary displacement based on blended cubic rational Bezier curves. More...

	Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::BoundaryMapper (GridView const &gridView, int order)
	BoundaryMapper: Create a boundary mapper over the entire boundary. More...

	Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::BoundaryMapper (GridView const &gridView, int order, std::vector< int > const &boundaryIds_, std::vector< int > const &usedIds_)
	BoundaryMapper: Create a boundary mapper over parts of the boundary. More...

int	Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::numFaces ()
	numFaces: Counts number of faces on which this boundaryMapper is defined. This costs some time so use with care. More...

template<class Evaluator , class QuadratureRule >
void	Kaskade::useQuadratureRuleInEvaluators (Evaluator &evals, QuadratureRule const &qr, int subId)
	Tells all evaluators to use the given quadrature rule on the given subentity. More...

template<class Evaluators , class CoordType , int dim, int subDim>
void	Kaskade::moveEvaluatorsToIntegrationPoint (Evaluators &evals, Dune::FieldVector< CoordType, dim > const &x, Dune::QuadratureRule< CoordType, subDim > const &qr, int ip, int subId)
	Moves all provided evaluators to the given integration point, evaluating the shape functions there. More...

template<class Evaluators , class CoordType , int dim>
void	Kaskade::moveEvaluatorsToIntegrationPoint (Evaluators &evals, Dune::FieldVector< CoordType, dim > const &x)
	Moves all provided evaluators to the given integration point, evaluating the shape functions there. More...

template<class Evaluators >
int	Kaskade::maxOrder (Evaluators const &evals)
	Computes the maximum ansatz order used in a collection of evaluators. More...

template<class Map , class IndexSet , class LocalDofs >
size_t	Kaskade::computeDofStartIndices (int dim, Map &map, IndexSet const &is, LocalDofs &localDof)
	For each codimension (i.e., type of subentity) computes the number of global ansatz functions as well as an accumulated index into an array of all ansatz functions. More...

template<class FEFunction >
FEFunction::ValueType	Kaskade::integrateOverBoundary (FEFunction const &function)
	integrateOverBoundary computes the integral of an FE function over the whole boundary of the underlying grid. More...

template<template< class, class > class DomainMapper, typename Scalar , typename GridView , int m>
FunctionSpaceElement< FEFunctionSpace< BoundaryMapper< DomainMapper, Scalar, GridView > >, m >::ValueType	Kaskade::integrateOverBoundary (FunctionSpaceElement< FEFunctionSpace< BoundaryMapper< DomainMapper, Scalar, GridView > >, m > const &function)
	integrateOverBoundary computes the integral of an FE function which is restricted to (parts of) the boundary over the boundary of the underlying grid. More...

template<class Space , class Range >
std::vector< size_t >	Kaskade::algebraicPatch (Space const &space, Range const &cells)
	Computes the global indices of all ansatz functions whose support is a subset of the union of given cells. More...

template<class Space , class Range >
std::vector< size_t >	Kaskade::algebraicPatch (Space const &space, Range const &cells, size_t vertexIdx, std::vector< std::vector< size_t > > const &indicesOnFacets)
	Computes the global indices of all ansatz functions whose support is a subset of the union of given cells. More...

template<class GridView >
auto	Kaskade::computePatches (GridView const &gridview)
	Computes the patches around vertices of the grid view. More...

template<class Space , int m, class OutIter >
OutIter	vectorToSequence (FunctionSpaceElement< Space, m > const &v, OutIter iter)
	Writes the coefficients into a flat sequence. <Space,m> More...

template<class Spaces , class ShapeFunctionCache >
auto	getEvaluators (Spaces const &spaces, ShapeFunctionCache cache, std::map< void const , int > const &deriv=std::map< void const *, int >())
	returns a heterogeneous sequence of evaluators for the given spaces More...

Detailed Description

Classes to define finite element spaces and functions on them.

In this group the problem is addressed of creating and maintaining finite element spaces and functions that live there. The following tasks are fulfilled:

Finite Element Space: FEFunctionSpace
Functions on a FEMSpace: FunctionSpaceElement
Grid consistency issues: GridManager

Objects of these classes are connected by a boost::signal in case that the grid is modified (adapted)

Standard FEM spaces are implemented:

DiscontinuousLagrangeMapper
DiscontinuousHierarchicMapper
ContinuousLagrangeMapper
ContinuousHierarchicMapper
NedelecMapper
ConstantMapper

Access to shape functions

ShapeFunction
ShapeFunctionSet

Typedef Documentation

◆ ConstantSpace

template<class Grid , class Scalar = double>

using Kaskade::ConstantSpace = typedef FEFunctionSpace<ConstantMapper<Scalar,typename Grid::LeafGridView> >

A finite element space of globally constant functions on the leaf grid view.

Definition at line 37 of file spaces.hh.

◆ Element_t [1/2]

template<class ScalarType , class GV >

template<int m>

using Kaskade::DiscontinuousLagrangeMapperSubdomain< ScalarType, GV >::Element_t = FunctionSpaceElement<FEFunctionSpace<Self>,m>

Type of the FunctionSpaceElement, associated to the FEFunctionSpace.

Template Parameters

m	number of components

Definition at line 364 of file lagrangespace.hh.

◆ Element_t [2/2]

template<class GV , class SupportOracle , class ScalarType = double>

template<int m>

using Kaskade::ContinuousLagrangeMapperSubdomain< GV, SupportOracle, ScalarType >::Element_t = FunctionSpaceElement<FEFunctionSpace<ContinuousLagrangeMapperSubdomain>,m>

Type of the FunctionSpaceElement, associated to the FEFunctionSpace.

Template Parameters

m	number of components

Definition at line 701 of file lagrangespace.hh.

◆ Evaluators

template<class Spaces >

using Kaskade::Evaluators = typedef typename boost::fusion::result_of::as_vector< typename boost::fusion::result_of::transform<Spaces,GetEvaluatorTypes>::type >::type

the heterogeneous sequence type of Evaluators for the given spaces

Template Parameters

Spaces a heterogeneous sequence type of FEFunctionSpace s

Definition at line 1856 of file functionspace.hh.

◆ H1HierarchicExtensionSpace

template<class Grid , class Scalar = double>

using Kaskade::H1HierarchicExtensionSpace = typedef FEFunctionSpace<ContinuousHierarchicExtensionMapper<Scalar,typename Grid::LeafGridView> >

An \( H^1 \) conforming finite element extension space on the leaf grid view with hierarchic basis.

Definition at line 58 of file spaces.hh.

◆ H1HierarchicSpace

template<class Grid , class Scalar = double>

using Kaskade::H1HierarchicSpace = typedef FEFunctionSpace<ContinuousHierarchicMapper<Scalar,typename Grid::LeafGridView> >

An \( H^1 \) conforming finite element space on the leaf grid view with hierarchic basis.

Definition at line 51 of file spaces.hh.

◆ H1Space

template<class Grid , class Scalar = double>

using Kaskade::H1Space = typedef FEFunctionSpace<ContinuousLagrangeMapper<Scalar,typename Grid::LeafGridView> >

An \( H^1 \) conforming finite element space on the leaf grid view with Lagrange basis.

Definition at line 44 of file spaces.hh.

◆ L2HierarchicExtensionSpace

template<class Grid , class Scalar = double>

using Kaskade::L2HierarchicExtensionSpace = typedef FEFunctionSpace<DiscontinuousHierarchicExtensionMapper<Scalar,typename Grid::LeafGridView> >

An \( L^2 \) conforming finite element extension space on the leaf grid view with hierarchic basis.

Definition at line 79 of file spaces.hh.

◆ L2HierarchicSpace

template<class Grid , class Scalar = double>

using Kaskade::L2HierarchicSpace = typedef FEFunctionSpace<DiscontinuousHierarchicMapper<Scalar,typename Grid::LeafGridView> >

An \( L^2 \) conforming finite element space on the leaf grid view with hierarchic basis.

Definition at line 72 of file spaces.hh.

◆ L2Space

template<class Grid , class Scalar = double>

using Kaskade::L2Space = typedef FEFunctionSpace<DiscontinuousLagrangeMapper<Scalar,typename Grid::LeafGridView> >

An \( L^2 \) conforming finite element space on the leaf grid view with Lagrange basis.

Definition at line 65 of file spaces.hh.

Function Documentation

◆ algebraicPatch() [1/2]

template<class Space , class Range >

std::vector< size_t > Kaskade::algebraicPatch	(	Space const &	space,
		Range const &	cells
	)

Computes the global indices of all ansatz functions whose support is a subset of the union of given cells.

These ansatz functions span the space of FE functions on the patch with zero trace.

Template Parameters

Space	a FEFunctionSpace instatiation
Range	an STL range type with grid cells as value type

Parameters

space	the FE space considered
cells	the cells forming the patch

Definition at line 42 of file supports.hh.

Referenced by Kaskade::TaylorHoodPreconditioner< X >::TaylorHoodPreconditioner().

◆ algebraicPatch() [2/2]

template<class Space , class Range >

std::vector< size_t > Kaskade::algebraicPatch	(	Space const &	space,
		Range const &	cells,
		size_t	vertexIdx,
		std::vector< std::vector< size_t > > const &	indicesOnFacets
	)

Computes the global indices of all ansatz functions whose support is a subset of the union of given cells.

These ansatz functions span the space of FE functions on the patch with zero trace. This version also treats patches that touch the domain boundary correctly (the above version takes more indices on these patches).

Template Parameters

Space	a FEFunctionSpace instatiation
Range	an STL range type with grid cells as value type

Parameters

vertexIdx	the global index of patch middle vertex
indicesOnFacets	contains for each facet (by global facet index) the indices of all ansatz function that do not vanish on that facet

Definition at line 105 of file supports.hh.

◆ barycentric()

template<size_t dim>

std::array< int, dim+1 > Kaskade::barycentric	(	std::array< int, dim > const &	x,
		int	bsum
	)

Converts integer coordinate index to barycentric indices.

Template Parameters

dim	the spatial dimension

Parameters

x	the coordinate index
bsum	the barycentric sum

The entries of x need to be between 0 and bsum, and their sum shall not exceed bsum. Then the returned index contains in the first dim entries just x, and in the last one bsum-sum.

Definition at line 148 of file barycentric.hh.

◆ BoundaryMapper() [1/2]

template<template< class, class > class Implementation_, class Scalar_ , class GridView_ >

Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::BoundaryMapper	(	GridView const &	gridView,
		int	order
	)

inline

BoundaryMapper: Create a boundary mapper over the entire boundary.

Parameters

gridView	The corresponding grid view.
order	Order of the underlying FE mapper.

Definition at line 193 of file boundaryspace.hh.

◆ BoundaryMapper() [2/2]

template<template< class, class > class Implementation_, class Scalar_ , class GridView_ >

Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::BoundaryMapper	(	GridView const &	gridView,
		int	order,
		std::vector< int > const &	boundaryIds_,
		std::vector< int > const &	usedIds_
	)

inline

BoundaryMapper: Create a boundary mapper over parts of the boundary.

Parameters

gridView	The corresponding grid view.
order	Order of the underlying FE mapper.
boundaryIds_	Container which maps each boundary segment index, which occurs in the grid (consecutive from zero to #(boundary segments in level 0 grid view)-1) to an int property value.
usedIds_	States by int property value which boundary faces belong to the desired part of the boundary.

Definition at line 207 of file boundaryspace.hh.

◆ cellInterpolation()

template<class Scalar , int dim>

Vector< Scalar, dim > Kaskade::Simplex::cellInterpolation	(	VertexPositions< Scalar, dim > const &	vertices,
		EdgeDirections< Scalar, dim > const &	boundaryEdges,
		FaceFlags< dim > const &	isBoundaryFace,
		Barycentric< Scalar, dim >	b
	)

Computes a boundary displacement based on blended cubic rational Bezier curves.

This allows to define a G1 continuous boundary surface. On each vertex \( x_i \) of a single simplicial surface patch, i.e. a triangle in 3D and a line in 2D, a unit normal vector \( n_i \) is given.

Parameters

vertices	the boundary simplex's vertices, as columns of this matrix
normals	the unit normal vectors at the vertices, as columns of this matrix
b	the barycentric coordinates of the point to interpolate, i.e. the weight of the corresponding vertices/normals. The entries in b shall sum up to 1.

Returns: the displacement vector for the point b

Referenced by Kaskade::BoundaryInterpolationDetail::getChildVertexDisplacements(), and Kaskade::BoundaryInterpolationDisplacement< GridView >::value().

◆ computeDofStartIndices()

template<class Map , class IndexSet , class LocalDofs >

size_t Kaskade::computeDofStartIndices	(	int	dim,
		Map &	map,
		IndexSet const &	is,
		LocalDofs &	localDof
	)

For each codimension (i.e., type of subentity) computes the number of global ansatz functions as well as an accumulated index into an array of all ansatz functions.

Parameters

dim	the dimension of the grid
map	an associative container with key type Dune::GeometryType and int values.
is	the index set defining the entities
localDof	a callable object returning the number of local dofs associated to an entity of given geometry type

Definition at line 41 of file gridcombinatorics.hh.

◆ computePatches()

template<class GridView >

auto Kaskade::computePatches ( GridView const & gridview )

Computes the patches around vertices of the grid view.

Returns: a random access sequence (indexed by vertex index) containing a sequence of cells forming the patch around that cell

Definition at line 165 of file supports.hh.

Referenced by Kaskade::PatchDomainDecompositionPreconditioner< Space, m, StorageTag, SparseMatrixIndex >::PatchDomainDecompositionPreconditioner(), and Kaskade::TaylorHoodPreconditioner< X >::TaylorHoodPreconditioner().

◆ getEvaluators()

template<class Spaces , class ShapeFunctionCache >

auto getEvaluators	(	Spaces const &	spaces,
		ShapeFunctionCache *	cache,
		std::map< void const *, int > const &	deriv = `std::map<void const*,int>()`
	)

Template Parameters

Spaces	a heterogeneous sequence of FEFunctionSpace s
ShapeFunctionCache	a type for caching shape function values

Parameters

cache	pointer to a shape function cache - if null, no cache is used
deriv	a map from space addresses to highest derivatives requested

Definition at line 1838 of file functionspace.hh.

◆ integrateOverBoundary() [1/2]

template<class FEFunction >

FEFunction::ValueType Kaskade::integrateOverBoundary ( FEFunction const & function )

integrateOverBoundary computes the integral of an FE function over the whole boundary of the underlying grid.

Parameters

function is the FE function to be integrated.

Template Parameters

FEFunction is the type of the integrand.

Returns: value of integral

Definition at line 211 of file integration.hh.

Referenced by Kaskade::boundaryL2Norm().

◆ integrateOverBoundary() [2/2]

template<template< class, class > class DomainMapper, typename Scalar , typename GridView , int m>

FunctionSpaceElement< FEFunctionSpace< BoundaryMapper< DomainMapper, Scalar, GridView > >, m >::ValueType Kaskade::integrateOverBoundary ( FunctionSpaceElement< FEFunctionSpace< BoundaryMapper< DomainMapper, Scalar, GridView > >, m > const & function )

integrateOverBoundary computes the integral of an FE function which is restricted to (parts of) the boundary over the boundary of the underlying grid.

This specialized overload does integration only on those faces where the boundary FE function is nonzero.

Parameters

function is the FE function to be integrated.

Returns: value of integral

Definition at line 236 of file integration.hh.

◆ maxOrder()

template<class Evaluators >

int Kaskade::maxOrder ( Evaluators const & evals )

Computes the maximum ansatz order used in a collection of evaluators.

Definition at line 1954 of file functionspace.hh.

Referenced by Kaskade::edgeAveragingFull(), Kaskade::GridIterateDetail::gridIterateRange(), Kaskade::HierarchicExtensionShapeFunctionSetContainer< ctype, dimension, Scalar, restricted >::HierarchicExtensionShapeFunctionSetContainer(), and Kaskade::HierarchicShapeFunctionSetContainer< ctype, dimension, Scalar, restricted >::HierarchicShapeFunctionSetContainer().

◆ moveEvaluatorsToIntegrationPoint() [1/2]

template<class Evaluators , class CoordType , int dim>

void Kaskade::moveEvaluatorsToIntegrationPoint	(	Evaluators &	evals,
		Dune::FieldVector< CoordType, dim > const &	x
	)

Moves all provided evaluators to the given integration point, evaluating the shape functions there.

Parameters

evals	the evaluators to be moved
x	the evaluation point (local coordinates)

Definition at line 1942 of file functionspace.hh.

◆ moveEvaluatorsToIntegrationPoint() [2/2]

template<class Evaluators , class CoordType , int dim, int subDim>

void Kaskade::moveEvaluatorsToIntegrationPoint	(	Evaluators &	evals,
		Dune::FieldVector< CoordType, dim > const &	x,
		Dune::QuadratureRule< CoordType, subDim > const &	qr,
		int	ip,
		int	subId
	)

Moves all provided evaluators to the given integration point, evaluating the shape functions there.

Parameters

evals	the evaluators to be moved
x	the evaluation point (local coordinates)
qr	the quadrature rule defining the integration point x
ip	the number of the integration point in the quadrature rule qr
subId	the sub-id of the entity on which the quadrature rule lives, w.r.t. the current cell

Definition at line 1929 of file functionspace.hh.

Referenced by PointwiseCorrection< PolyEquation >::correct(), corrTangent(), Kaskade::edgeAveragingFull(), Kaskade::ErrorDistribution< Functional, ExtendedAnsatzVars >::BoundaryCache::evaluateAt(), Kaskade::ErrorDistribution< Functional, ExtendedAnsatzVars >::DomainCache::evaluateAt(), and Kaskade::GridIterateDetail::gridIterateRange().

◆ numFaces()

template<template< class, class > class Implementation_, class Scalar_ , class GridView_ >

int Kaskade::BoundaryMapper< Implementation_, Scalar_, GridView_ >::numFaces ( )

inline

numFaces: Counts number of faces on which this boundaryMapper is defined. This costs some time so use with care.

Returns: number of faces

Definition at line 230 of file boundaryspace.hh.

◆ useQuadratureRuleInEvaluators()

template<class Evaluator , class QuadratureRule >

void Kaskade::useQuadratureRuleInEvaluators	(	Evaluator &	evals,
		QuadratureRule const &	qr,
		int	subId
	)

Tells all evaluators to use the given quadrature rule on the given subentity.

Definition at line 1912 of file functionspace.hh.

Referenced by Kaskade::ErrorDistribution< Functional, ExtendedAnsatzVars >::BoundaryCache::evaluateAt(), Kaskade::ErrorDistribution< Functional, ExtendedAnsatzVars >::DomainCache::evaluateAt(), and Kaskade::GridIterateDetail::gridIterateRange().

◆ vectorToSequence()

template<class Space , int m, class OutIter >

OutIter vectorToSequence	(	FunctionSpaceElement< Space, m > const &	v,
		OutIter	iter
	)

Definition at line 1039 of file functionspace.hh.

Modules

Classes

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ ConstantSpace

◆ Element_t [1/2]

◆ Element_t [2/2]

◆ Evaluators

◆ H1HierarchicExtensionSpace

◆ H1HierarchicSpace

◆ H1Space

◆ L2HierarchicExtensionSpace

◆ L2HierarchicSpace

◆ L2Space

Function Documentation

◆ algebraicPatch() [1/2]

◆ algebraicPatch() [2/2]

◆ barycentric()

◆ BoundaryMapper() [1/2]

◆ BoundaryMapper() [2/2]

◆ cellInterpolation()

◆ computeDofStartIndices()

◆ computePatches()

◆ getEvaluators()

◆ integrateOverBoundary() [1/2]

◆ integrateOverBoundary() [2/2]

◆ maxOrder()

◆ moveEvaluatorsToIntegrationPoint() [1/2]

◆ moveEvaluatorsToIntegrationPoint() [2/2]

◆ numFaces()

◆ useQuadratureRuleInEvaluators()

◆ vectorToSequence()