dune-functions
2.7.1
|
Implementations of the GlobalBasis concept. More...
Classes | |
class | Dune::Functions::BSplineLocalBasis< GV, R, MI > |
LocalBasis class in the sense of dune-localfunctions, presenting the restriction of a B-spline patch to a knot span. More... | |
class | Dune::Functions::BSplineLocalCoefficients< dim > |
Attaches a shape function to an entity. More... | |
class | Dune::Functions::BSplineLocalInterpolation< dim, LB > |
Local interpolation in the sense of dune-localfunctions, for the B-spline basis on tensor-product grids. More... | |
class | Dune::Functions::BSplineLocalFiniteElement< GV, R, MI > |
LocalFiniteElement in the sense of dune-localfunctions, for the B-spline basis on tensor-product grids. More... | |
class | Dune::Functions::BSplinePreBasis< GV, MI > |
Pre-basis for B-spline basis. More... | |
class | Dune::Functions::CompositePreBasis< MI, IMS, SPB > |
A pre-basis for composite bases. More... | |
class | Dune::Functions::LagrangePreBasis< GV, k, MI, R > |
A pre-basis for a PQ-lagrange bases with given order. More... | |
class | Dune::Functions::RannacherTurekPreBasis< GV, MI > |
Pre-basis for a Rannacher-Turek basis. More... | |
class | Dune::Functions::TaylorHoodPreBasis< GV, MI, HI > |
Pre-basis for lowest order Taylor-Hood basis. More... | |
Typedefs | |
template<typename GV > | |
using | Dune::Functions::BSplineBasis = DefaultGlobalBasis< BSplinePreBasis< GV, FlatMultiIndex< std::size_t > > > |
A global B-spline basis. More... | |
template<typename GV , int k = -1, typename R = double> | |
using | Dune::Functions::LagrangeBasis = DefaultGlobalBasis< LagrangePreBasis< GV, k, FlatMultiIndex< std::size_t >, R > > |
Nodal basis of a scalar k-th-order Lagrangean finite element space. More... | |
template<typename GV , int k> | |
using | Dune::Functions::LagrangeDGBasis = DefaultGlobalBasis< LagrangeDGPreBasis< GV, k, FlatMultiIndex< std::size_t > > > |
Basis of a scalar k-th-order Lagrangean-DG finite element space. More... | |
template<typename GV > | |
using | Dune::Functions::RannacherTurekBasis = DefaultGlobalBasis< RannacherTurekPreBasis< GV, FlatMultiIndex< std::size_t > > > |
Rannacher-Turek basis. More... | |
template<typename GV > | |
using | Dune::Functions::TaylorHoodBasis = DefaultGlobalBasis< TaylorHoodPreBasis< GV, Dune::ReservedVector< std::size_t, 2 > > > |
Nodal basis for a lowest order Taylor-Hood Lagrangean finite element space. More... | |
Functions | |
template<std::size_t k> | |
auto | Dune::Functions::BasisFactory::brezziDouglasMarini () |
Create a pre-basis factory that can create a Brezzi-Douglas-Marini pre-basis. More... | |
auto | Dune::Functions::BasisFactory::bSpline (const std::vector< double > &knotVector, unsigned int order, bool makeOpen=true) |
Create a pre-basis factory that can create a B-spline pre-basis. More... | |
template<typename... Args, std::enable_if_t< Concept::isIndexMergingStrategy< typename LastType< Args... >::type >(), int > = 0> | |
auto | Dune::Functions::BasisFactory::composite (Args &&... args) |
Create a factory builder that can build a CompositePreBasis. More... | |
template<std::size_t k, typename R = double> | |
auto | Dune::Functions::BasisFactory::lagrange () |
Create a pre-basis factory that can create a Lagrange pre-basis. More... | |
template<typename R = double> | |
auto | Dune::Functions::BasisFactory::lagrange (int order) |
Create a pre-basis factory that can create a Lagrange pre-basis with a run-time order. More... | |
template<std::size_t k> | |
auto | Dune::Functions::BasisFactory::lagrangeDG () |
Create a pre-basis factory that can create a LagrangeDG pre-basis. More... | |
template<std::size_t k, class ChildPreBasisFactory , class IndexMergingStrategy > | |
auto | Dune::Functions::BasisFactory::power (ChildPreBasisFactory &&childPreBasisFactory, const IndexMergingStrategy &ims) |
Create a pre-basis factory that can build a PowerPreBasis. More... | |
template<std::size_t k, class ChildPreBasisFactory > | |
auto | Dune::Functions::BasisFactory::power (ChildPreBasisFactory &&childPreBasisFactory) |
Create a factory builder that can build a PowerPreBasis. More... | |
template<class Dummy = void> | |
auto | Dune::Functions::BasisFactory::rannacherTurek () |
Create a pre-basis factory that can create a Rannacher-Turek pre-basis. More... | |
template<std::size_t k> | |
auto | Dune::Functions::BasisFactory::raviartThomas () |
Create a pre-basis factory that can create a Raviart-Thomas pre-basis. More... | |
auto | Dune::Functions::BasisFactory::taylorHood () |
Create a pre-basis factory that can create a Taylor-Hood pre-basis. More... | |
Implementations of the GlobalBasis concept.
using Dune::Functions::BSplineBasis = typedef DefaultGlobalBasis<BSplinePreBasis<GV, FlatMultiIndex<std::size_t> > > |
A global B-spline basis.
GV | The GridView that the space is defined on |
using Dune::Functions::LagrangeBasis = typedef DefaultGlobalBasis<LagrangePreBasis<GV, k, FlatMultiIndex<std::size_t>, R> > |
Nodal basis of a scalar k-th-order Lagrangean finite element space.
All arguments passed to the constructor will be forwarded to the constructor of LagrangePreBasis.
GV | The GridView that the space is defined on |
k | The order of the basis; -1 means 'order determined at run-time' |
R | The range type of the local basis |
using Dune::Functions::LagrangeDGBasis = typedef DefaultGlobalBasis<LagrangeDGPreBasis<GV, k, FlatMultiIndex<std::size_t> > > |
Basis of a scalar k-th-order Lagrangean-DG finite element space.
GV | The GridView that the space is defined on |
k | The order of the basis |
using Dune::Functions::RannacherTurekBasis = typedef DefaultGlobalBasis<RannacherTurekPreBasis<GV, FlatMultiIndex<std::size_t> > > |
Rannacher-Turek basis.
These are Crouzeix-Raviart-elements for quadrilateral elements. See Rolf Rannacher and Stefan Turek. Simple nonconforming quadrilateral Stokes element. Numerical Methods for Partial Differential Equations, 8:97–111, 1992.
GV | The GridView that the space is defined on |
using Dune::Functions::TaylorHoodBasis = typedef DefaultGlobalBasis<TaylorHoodPreBasis<GV, Dune::ReservedVector<std::size_t, 2> > > |
Nodal basis for a lowest order Taylor-Hood Lagrangean finite element space.
GV | The GridView that the space is defined on. |
auto Dune::Functions::BasisFactory::brezziDouglasMarini | ( | ) |
Create a pre-basis factory that can create a Brezzi-Douglas-Marini pre-basis.
k | Order of the Brezzi-Douglas-Marini element |
auto Dune::Functions::BasisFactory::bSpline | ( | const std::vector< double > & | knotVector, |
unsigned int | order, | ||
bool | makeOpen = true |
||
) |
Create a pre-basis factory that can create a B-spline pre-basis.
auto Dune::Functions::BasisFactory::composite | ( | Args &&... | args | ) |
Create a factory builder that can build a CompositePreBasis.
Args | Types of child factory builders and IndexMergingStrategy type |
args | Child factory builder objects and an IndexMergingStrategy |
This is the overload used if the last argument is an IndexMergingStrategy.
Args | Types of child factory builders |
args | Child factory builder objects |
This is the overload used if no IndexMergingStrategy is supplied. In this case the BasisFactory::BlockedLexicographic strategy is used.
auto Dune::Functions::BasisFactory::lagrange | ( | ) |
Create a pre-basis factory that can create a Lagrange pre-basis.
k | The polynomial order of the ansatz functions; -1 means 'order determined at run-time' |
R | The range type of the local basis |
auto Dune::Functions::BasisFactory::lagrange | ( | int | order | ) |
Create a pre-basis factory that can create a Lagrange pre-basis with a run-time order.
R | The range type of the local basis |
auto Dune::Functions::BasisFactory::lagrangeDG | ( | ) |
Create a pre-basis factory that can create a LagrangeDG pre-basis.
k | The polynomial order of the ansatz functions |
auto Dune::Functions::BasisFactory::power | ( | ChildPreBasisFactory && | childPreBasisFactory | ) |
Create a factory builder that can build a PowerPreBasis.
ChildPreBasisFactory | Types of child pre-basis factory |
childPreBasisFactory | Child pre-basis factory |
This overload will select the BasisFactory::BlockedInterleaved strategy.
auto Dune::Functions::BasisFactory::power | ( | ChildPreBasisFactory && | childPreBasisFactory, |
const IndexMergingStrategy & | ims | ||
) |
Create a pre-basis factory that can build a PowerPreBasis.
ChildPreBasisFactory | Types of child pre-basis factory |
IndexMergingStrategy | An IndexMergingStrategy type |
childPreBasisFactory | Child pre-basis factory |
ims | IndexMergingStrategy to be used |
This overload can be used to explicitly supply an IndexMergingStrategy.
auto Dune::Functions::BasisFactory::rannacherTurek | ( | ) |
Create a pre-basis factory that can create a Rannacher-Turek pre-basis.
auto Dune::Functions::BasisFactory::raviartThomas | ( | ) |
Create a pre-basis factory that can create a Raviart-Thomas pre-basis.
k | Order of the Raviart-Thomas element |
auto Dune::Functions::BasisFactory::taylorHood | ( | ) |
Create a pre-basis factory that can create a Taylor-Hood pre-basis.