dune-localfunctions  2.8.0
nedelecsimplexbasis.hh
Go to the documentation of this file.
1 // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 // vi: set et ts=4 sw=2 sts=2:
3 #ifndef DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
4 
5 #define DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
6 
7 #include <fstream>
8 #include <dune/common/exceptions.hh>
9 
13 
14 namespace Dune
15 {
16  /*
17  * `NedelecPreBasisFactory` provides a basis for the Nedelec function space.
18  * `NedelecL2InterpolationFactory` provides the linear functionals.
19  *
20  * `Defaultbasisfactory::create` first builds the function space and the linear functionals.
21  * Then the constructor of `BasisMatrix` gets called. There the matrix
22  *
23  * \begin{equation}
24  * A_{i,j} := N_j(\phi_i)
25  * \end{equation}
26  *
27  * with linear functionals $N_j$ and basisfunctions $\phi_i$ gets assembled.
28  * Then the matrix gets inverted and is then used as a coefficent matrix for the standard monomial basis.
29  *
30  * For more details on the theory see the first chapter "Construction of Local Finite Element Spaces Using the Generic Reference Elements"
31  * of the book "Advances in Dune" by Dedner, Flemisch and Klöfkorn published in 2012.
32  */
33 
34  template< unsigned int dim, class SF, class CF >
36  : public DefaultBasisFactory< NedelecPreBasisFactory<dim,CF>,
37  NedelecL2InterpolationFactory<dim,CF>,
38  dim,dim,SF,CF >
39  {};
40 }
41 
42 #endif // #ifndef DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
Definition: bdfmcube.hh:16
Definition: nedelecsimplexbasis.hh:39
Definition: defaultbasisfactory.hh:36