dune-fem
dune-fem-dg

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DUNE-FEM-DG
DUNE-FEM-DG is the implementation of Discontinuous Galerkin schemes
using the DUNE-FEM framework. Stabilized DG schemes for hyperbolic
as well as a wide range of different primal formulations
for elliptic/parabolic problems are implemented.
The operators can be used efficiently both in a
explicit/matrix free implementation or used to
setup a system matrix for use with the linear solvers available in DUNE-FEM.

License
The DUNE-FEM-DG module is available under
the GNU General Public License version 2, or (at your option),
any later version.

References
A detailed description of the schemes can be found
in the first two papers and an overview on performance of
the code is given in the third paper.


S. Brdar, A. Dedner, and R. Klöfkorn.
Compact and stable Discontinuous Galerkin methods for convection-diffusion problems.
SIAM J. Sci. Comput., 34(1):263-282, 2012. http://dx.doi.org/10.1137/100817528


A. Dedner and R. Klöfkorn. A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems.
J. Sci. Comput., 47(3):365-388, 2011. http://dx.doi.org/10.1007/s10915-010-9448-0


An overview on performance of the code is given in

R. Klöfkorn. Efficient Matrix-Free Implementation of Discontinuous Galerkin Methods for Compressible Flow Problems.
Proceedings of the ALGORITMY 2012. http://www.iam.fmph.uniba.sk/algoritmy2012/zbornik/2Kloefkornf.pdf


By using the code you agree to cite one or both of the first two papers in any publication using this code.

Eye-candy
The avatar of the project shows the solution of
the compressible Euler equations in 3D using
the parallel-adaptive DUNE-ALUGrid and the DG
discretization implemented in DUNE-FEM-DG.

Installation
Using pip
dune-fem-dg can be installed using the Package Index of Python (pip).

pip install dune-fem-dg


See https://dune-project.org/doc/installation-pip/ for a more detailed
description.
From source
dune-fem-dg also provides a shell script
to install the sources using a specific git branch.
Further detailed explanation on the DUNE installation process please read
the installation notes https://www.dune-project.org/doc/installation/.

Documentation
A documentation for the 2.4 release can be found in

A. Dedner, S. Girke, R. Klöfkorn, T. Malkmus. 2017. The DUNE-FEM-DG module.
Archive of Numerical Software 5(1): 21--61. http://dx.doi.org/10.11588/ans.2017.1.28602