A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract Framework

Please always quote using this URN: urn:nbn:de:0296-matheon-4162
  • We give a mathematically rigorous definition of a grid for algorithms solving partial differential equations. Unlike previous approaches, our grids have a hierarchical structure. This makes them suitable for geometric multigrid algorithms and hierarchical local grid refinement. The description is also general enough to include geometrically nonconforming grids. The definitions in this article serve as the basis for an implementation of an abstract grid interface as C++ classes in the DUNE.

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Metadaten
Author:Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
URN:urn:nbn:de:0296-matheon-4162
Referee:Peter Deuflhard
Language:English
Date of first Publication:2007/09/17
Institute:Freie Universität Berlin
Zuse Institute Berlin (ZIB)
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Yxx Computer aspects of numerical algorithms / 65Y99 None of the above, but in this section
Preprint Number:403

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