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| HAL : hal-00630892, version 1 |
| Fiche détaillée |  Récupérer au format |
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| An Algebraic Local Generalized Eigenvalue in the Overlapping Zone Based Coarse Space : A first introduction |
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| Nicole Spillane 1Victorita Dolean 2 |
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| (11/10/2011) |
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| Coarse spaces are instrumental in obtaining scalability for domain decomposition methods. However, it is known that most popular choices of coarse spaces perform rather weakly in presence of heterogeneities in the coefficients in the partial differential equations, especially for systems. Here, we introduce in a variational setting a new coarse space that is robust even when there are such heterogeneities. We achieve this by solving local generalized eigenvalue problems which isolate the terms responsible for slow convergence. We give a general theoretical result and then some numerical examples on a heterogeneous elasticity problem. |
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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 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| 3 : | Centre de Technologie de Ladoux |
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Société Michelin |
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| 4 : | Institute of Computational Mathematics |
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Johannes Kepler University |
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| 5 : | Department of Mathematical Sciences - University of Bath |
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University of Bath |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00630892, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00630892 | |
| oai:hal.archives-ouvertes.fr:hal-00630892 | |
| Contributeur : Frédéric Nataf | |
| Soumis le : Mardi 11 Octobre 2011, 09:27:38 | |
| Dernière modification le : Mardi 25 Octobre 2011, 17:30:57 | |
