Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCLOUS, Roland | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUBROCA, Bruno | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| dc.contributor.author | FILBET, Francis | |
| dc.date.accessioned | 2024-04-04T02:52:03Z | |
| dc.date.available | 2024-04-04T02:52:03Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1937-1632 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192026 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Méthodes Numériques pour les Equations Cinétiques - ANR-06-JCJC-0136 | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.title.en | Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.description.sponsorshipEurope | Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series S | |
| bordeaux.page | 283-305 | |
| bordeaux.volume | 5 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00287630 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00287630v1 | |
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