# Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)

Peter Bastian; Felix Heimann; Sven Marnach

Kybernetika (2010)

- Volume: 46, Issue: 2, page 294-315
- ISSN: 0023-5954

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topBastian, Peter, Heimann, Felix, and Marnach, Sven. "Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)." Kybernetika 46.2 (2010): 294-315. <http://eudml.org/doc/197255>.

@article{Bastian2010,

abstract = {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.},

author = {Bastian, Peter, Heimann, Felix, Marnach, Sven},

journal = {Kybernetika},

keywords = {finite elements; generic programming; finite elements; generic programming; finite volume method; discontinuous Galerkin method; heat equation; numerical examples; second order elliptic equation; distributed and unified numerics environment; essential boundary conditions; hanging nodes; parallelization},

language = {eng},

number = {2},

pages = {294-315},

publisher = {Institute of Information Theory and Automation AS CR},

title = {Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)},

url = {http://eudml.org/doc/197255},

volume = {46},

year = {2010},

}

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

PB - Institute of Information Theory and Automation AS CR

VL - 46

IS - 2

SP - 294

EP - 315

AB - 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.

LA - eng

KW - finite elements; generic programming; finite elements; generic programming; finite volume method; discontinuous Galerkin method; heat equation; numerical examples; second order elliptic equation; distributed and unified numerics environment; essential boundary conditions; hanging nodes; parallelization

UR - http://eudml.org/doc/197255

ER -

## References

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