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On a mixed and multiscale domain decomposition method

✍ Scribed by Pierre Ladevèze; David Néron; Pierre Gosselet

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
486 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

This paper presents a reexamination of a multiscale computational strategy with homogenization in space and time for the resolution of highly heterogeneous structural problems, focusing on its suitability for parallel computing. Spatially, this strategy can be viewed as a mixed, multilevel domain decomposition method (or, more accurately, as a ''structure decomposition'' method). Regarding time, a ''parallel'' property is also described. We also draw bridges between this and other current approaches.

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✍ I.G. Graham; R. Scheichl 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 313 KB

## Abstract In this article, we describe a new class of domain decomposition preconditioners suitable for solving elliptic PDEs in highly fractured or heterogeneous media, such as arise in groundwater flow or oil recovery applications. Our methods employ novel coarsening operators, which are adapte