dune-localfunctions 2.8.0
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nedelecsimplexbasis.hh
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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
14namespace 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