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| HAL : hal-00526550, version 1 |
| Fiche détaillée |  Récupérer au format |
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| A Two Level Domain Decomposition Preconditionner Based on Local Dirichlet to Neumann Maps |
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| Frédéric Nataf 1Hua Xiang 1, 2 |
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| (2010) |
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| Coarse grid correction is a key ingredient in order to have scalable domain decomposition methods. In this work 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. |
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| 1 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie |
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| 2 : | School of Mathematics and Statistics [Wuhan] |
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Wuhan University |
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| 3 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00526550, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00526550 | |
| oai:hal.archives-ouvertes.fr:hal-00526550 | |
| Contributeur : Victorita Dolean | |
| Soumis le : Vendredi 15 Octobre 2010, 03:31:34 | |
| Dernière modification le : Dimanche 17 Octobre 2010, 19:10:14 | |
