Abstract
Coarse grid correction is a key ingredient in order to have scalable domain decomposition methods. In this Note we construct the coarse grid space using the low frequency modes of the subdomain DtN (Dirichlet-Neumann) maps, and apply the obtained two-level preconditioner to the linear system arising from an overlapping domain decomposition. Our method is suitable for the parallel implementation and its efficiency is demonstrated by numerical examples on problems with high heterogeneities.
Translated title of the contribution | A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps |
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Original language | French |
Pages (from-to) | 1163-1167 |
Number of pages | 5 |
Journal | Comptes Rendus Mathematique |
Volume | 348 |
Issue number | 21-22 |
Early online date | 30 Oct 2010 |
DOIs | |
Publication status | Published - 30 Nov 2010 |
Keywords
- coarse grid correction
- domain decomposition methods
- low frequency modes