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| HAL: hal-00638617, version 2 |
| arXiv: 1111.1506 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2011-11-07) | v2 (2011-11-09) | v3 (2012-11-05) |
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| Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field |
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| Nicolas Crouseilles 1, 2Emmanuel Frenod 3, 4 |
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| For the CALVI ; IPSO collaboration(s) |
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| (2011-11-06) |
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| In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circonscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of Two-Scale Asymptotic-Preserving Schemes. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | IPSO (INRIA - IRMAR) |
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CNRS : UMR6074 – INRIA – Université de Rennes 1 |
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| 3: | Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC) |
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CNRS : UMR3192 – Université de Bretagne Occidentale [UBO] – Université de Bretagne Sud – Institut Mines-Télécom – Télécom Bretagne – PRES Université Européenne de Bretagne [UEB] – Institut Supérieur des Sciences et Technologies de Brest (ISSTB) |
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| 4: | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
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CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
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| 5: | Laboratoire de Mathématiques Paul Painlevé |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| Analyse numérique |
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| Subject | : | Computer Science/Modeling and Simulation Mathematics/Functional Analysis Mathematics/Analysis of PDEs Physics/Physics/Plasma Physics |
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| hal-00638617, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00638617 | |
| oai:hal.archives-ouvertes.fr:hal-00638617 | |
| From: Emmanuel Frenod | |
| Submitted on: Tuesday, 8 November 2011 18:42:31 | |
| Updated on: Wednesday, 4 January 2012 17:22:03 | |
