dune-localfunctions  2.9.0
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 // SPDX-FileCopyrightInfo: Copyright (C) DUNE Project contributors, see file LICENSE.md in module root
4 // SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5 #ifndef DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
6 
7 #define DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
8 
9 #include <fstream>
10 #include <dune/common/exceptions.hh>
11 
15 
16 namespace Dune
17 {
18  /*
19  * `NedelecPreBasisFactory` provides a basis for the Nedelec function space.
20  * `NedelecL2InterpolationFactory` provides the linear functionals.
21  *
22  * `Defaultbasisfactory::create` first builds the function space and the linear functionals.
23  * Then the constructor of `BasisMatrix` gets called. There the matrix
24  *
25  * \begin{equation}
26  * A_{i,j} := N_j(\phi_i)
27  * \end{equation}
28  *
29  * with linear functionals $N_j$ and basisfunctions $\phi_i$ gets assembled.
30  * Then the matrix gets inverted and is then used as a coefficent matrix for the standard monomial basis.
31  *
32  * For more details on the theory see the first chapter "Construction of Local Finite Element Spaces Using the Generic Reference Elements"
33  * of the book "Advances in Dune" by Dedner, Flemisch and Klöfkorn published in 2012.
34  */
35 
36  template< unsigned int dim, class SF, class CF >
38  : public DefaultBasisFactory< NedelecPreBasisFactory<dim,CF>,
39  NedelecL2InterpolationFactory<dim,CF>,
40  dim,dim,SF,CF >
41  {};
42 }
43 
44 #endif // #ifndef DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
Definition: bdfmcube.hh:18
Definition: nedelecsimplexbasis.hh:41
Definition: defaultbasisfactory.hh:38