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Erschienen in:
2006 | OriginalPaper | Buchkapitel
A general object oriented framework for discretizing non-linear evolution equations
verfasst von : A. Burri, A. Dedner, D. Diehl, R. Klöfkorn, M. Ohlberger
Erschienen in: Advances in High Performance Computing and Computational Sciences
Verlag: Springer Berlin Heidelberg
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For a large class of non linear evolution problems we derive an abstract formulation that is based on writing the original model as a system of first order partial differential equations. Starting from this reformulation, a set of interface classes are derived that allow a problem independent implementation of various temporal and spacial discretization schemes. In particular, the abstract framework is very well suited for discretizing evolution equations with the Local Discontinuous Galerkin ansatz [
1
]. The implementation of the proposed framework is done within the Distributed and Unified Numerics Environment DUNE [
2
], [
3
].