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- Title
A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework.
- Authors
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klofkorn, R.; Ohlberger, M.; Sander, O.
- Abstract
We give a mathematically rigorous definition of a grid for algorithms solving partial differential equations. Unlike previous approaches (Benger 2005, PhD thesis; Berti 2000, PhD thesis), 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 non-conforming grids. The definitions in this article serve as the basis for an implementation of an abstract grid interface as C++ classes in the framework (Bastian et al. 2008, this issue).
- Subjects
COMPUTER algorithms; COMPUTER programming; NUMERICAL analysis software; NUMERICAL solutions to partial differential equations; PARTIAL differential equations; C++; NUMERICAL grid generation (Numerical analysis)
- Publication
Computing, 2008, Vol 82, Issue 2/3, p103
- ISSN
0010-485X
- Publication type
Article
- DOI
10.1007/s00607-008-0003-x