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A generic grid interface for parallel and adaptive scientific computing. Part I : abstract framework
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Bastian, P., Blatt, M., Dedner, Andreas, Engwer, C., Klöfkorn, R., Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part I : abstract framework. Computing, Vol.82 (No.2-3). pp. 103-119. doi:10.1007/s00607-008-0003-x 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: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Computing | ||||
| Publisher: | Springer Wien | ||||
| ISSN: | 0010-485X | ||||
| Official Date: | July 2008 | ||||
| Dates: |
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| Volume: | Vol.82 | ||||
| Number: | No.2-3 | ||||
| Page Range: | pp. 103-119 | ||||
| DOI: | 10.1007/s00607-008-0003-x | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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