Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)
Kybernetika, Tome 46 (2010) no. 2, pp. 294-315
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In this paper we describe PDELab, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment (Dune). PDELab considerably simplifies the implementation of discretization schemes for systems of partial differential equations by setting up global functions and operators from a simple element-local description. A general concept for incorporation of constraints eases the implementation of essential boundary conditions, hanging nodes and varying polynomial degree. The underlying Dune software framework provides parallelization and dimension-independence.
Classification :
35J25, 65M02, 65M60, 65N02, 65N30, 65Y02
Keywords: finite elements; generic programming
Keywords: finite elements; generic programming
@article{KYB_2010__46_2_a5,
author = {Bastian, Peter and Heimann, Felix and Marnach, Sven},
title = {Generic implementation of finite element methods in the {Distributed} and {Unified} {Numerics} {Environment} {(DUNE)}},
journal = {Kybernetika},
pages = {294--315},
publisher = {mathdoc},
volume = {46},
number = {2},
year = {2010},
mrnumber = {2663602},
zbl = {1195.65130},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_2_a5/}
}
TY - JOUR AU - Bastian, Peter AU - Heimann, Felix AU - Marnach, Sven TI - Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE) JO - Kybernetika PY - 2010 SP - 294 EP - 315 VL - 46 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KYB_2010__46_2_a5/ LA - en ID - KYB_2010__46_2_a5 ER -
%0 Journal Article %A Bastian, Peter %A Heimann, Felix %A Marnach, Sven %T Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE) %J Kybernetika %D 2010 %P 294-315 %V 46 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/KYB_2010__46_2_a5/ %G en %F KYB_2010__46_2_a5
Bastian, Peter; Heimann, Felix; Marnach, Sven. Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE). Kybernetika, Tome 46 (2010) no. 2, pp. 294-315. http://geodesic.mathdoc.fr/item/KYB_2010__46_2_a5/