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| HAL : inria-00577639, version 1 |
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| The Twentieth International Conference on Domain Decomposition Methods, San Diego La Jolla : États-Unis (2011) |
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| Algebraic Schwarz preconditioning for the Schur complement: application to the time-harmonic Maxwell equations discretized by a discontinuous Galerkin method |
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| Emmanuel Agullo 1, 2Luc Giraud 1 |
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| (07/02/2011) |
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| we primary study parallel algebraic additive Schwarz preconditioning technique for the Schur complement in the context of frequency domain electromagnetic wave propagation problems. For that purpose, the system of 2D and 3D time-harmonic Maxwell equations in first order (or mixed) form is discretized using a discontinuous Galerkin method formulated on an unstructured tetrahedral mesh. The resulting large sparse non-Hermitian complex coefficient linear system is solved by a parallel algebraic domain decomposition. More precisely, we will consider numerical techniques based on a non-overlapping decomposition of the graph associated with the sparse matrix to solve a condensed system. Although the Schur complement system is usually more tractable than the original problem by an iterative Krylov subspace technique, preconditioning treatment is still required. The numerical and parallel performance of different variants of algebraic Additive Schwarz parallel preconditioners for the Schur complement will be illustrated on a set of test problems. Furthermore, preliminary comparisons of this purely algebraic approach with continuous discrete Schwarz approach will be presented. |
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| 1 : | HiePACS (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université de Bordeaux – CNRS : UMR5800 – CERFACS |
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| 2 : | Laboratoire Bordelais de Recherche en Informatique (LaBRI) |
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CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II |
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| 3 : | Innovative Computing Laboratory (ICL) |
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University of Tennessee |
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| 4 : | NACHOS (INRIA Sophia Antipolis) |
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CNRS : UMR6621 – INRIA – Université Nice Sophia Antipolis [UNS] |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Informatique/Analyse numérique Informatique/Calcul parallèle, distribué et partagé |
| inria-00577639, version 1 | |
| http://hal.inria.fr/inria-00577639 | |
| oai:hal.inria.fr:inria-00577639 | |
| Contributeur : Luc Giraud | |
| Soumis le : Jeudi 17 Mars 2011, 09:41:00 | |
| Dernière modification le : Jeudi 17 Mars 2011, 09:41:00 | |
