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| HAL: hal-00573550, version 1 |
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| Journal of Computational Physics 213, 2 (2012) 262-280 |
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| A Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation |
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| Yassine Boubendir 1Xavier Antoine 2, 3 |
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| (2012) |
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| This paper presents a new non-overlapping domain decomposition method for the Helmholtz equation, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Dirichlet to Neumann operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented in both two and three dimensions. |
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| 1: | Department of Mathematical Sciences [Newark, NJ] (NJIT) |
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State University of New Jersey |
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| 2: | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| 3: | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
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INRIA – CNRS : UMR7502 – Université de Lorraine |
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| 4: | Applied and Computational Electromagnetics (ACE) |
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Université de Liège – Institut Montefiore - Département d'Electricité, Electronique et Informatique (Liège) – Fonds de la Recherche Scientifique [FNRS] |
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| Subject | : | Mathematics/Numerical Analysis Mathematics/Analysis of PDEs |
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| Helmholtz equation – Domain decomposition method – Quasi optimal convergence – High frequency |
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| Attached file list to this document: | |||||
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| hal-00573550, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00573550 | |
| oai:hal.archives-ouvertes.fr:hal-00573550 | |
| From: Xavier Antoine | |
| Submitted on: Friday, 4 March 2011 13:28:00 | |
| Updated on: Wednesday, 21 November 2012 15:28:30 | |
