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| HAL : hal-00287630, version 1 |
| Fiche détaillée |  Récupérer au format |
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| DCDS-S 5 (2012) 283-305 |
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| Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System |
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| Roland Duclous 1Bruno Dubroca 1 |
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| (2012) |
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| We propose a second order finite volume scheme to discretize the one-dimensional Vlasov-Poisson system with boundary conditions. For this problem, a rather general initial and boundary data lead to a unique solution with bounded variations but such a solution becomes discontinuous when the external voltage is large enough. We prove that the numerical approximation converges to the weak solution and show the efficiency of the scheme to simulate beam propagation with several particle species. |
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| 1 : | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 2 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00287630, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00287630 | |
| oai:hal.archives-ouvertes.fr:hal-00287630 | |
| Contributeur : Francis Filbet | |
| Soumis le : Jeudi 12 Juin 2008, 13:28:56 | |
| Dernière modification le : Jeudi 12 Janvier 2012, 13:30:47 | |
