Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Klöfkorn, R. and Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part I: Abstract framework. Computing, 82 (2-3). pp. 103-119. ISSN 0010-485X
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Official URL: http://dx.doi.org/10.1007/s00607-008-0003-x
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).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DUNE, hierarchical grids, interface, finite elements, finite volumes, entity complex, geometric realization, father relation, index maps, parallelization |
| Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 1809 |
| Deposited By: | Ekaterina Engel |
| Deposited On: | 19 Feb 2016 09:03 |
| Last Modified: | 03 Mar 2017 14:41 |
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