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Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCLOUS, Roland
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUBROCA, Bruno
hal.structure.identifierInstitut Camille Jordan [ICJ]
dc.contributor.authorFILBET, Francis
dc.date.accessioned2024-04-04T02:52:03Z
dc.date.available2024-04-04T02:52:03Z
dc.date.issued2012
dc.identifier.issn1937-1632
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192026
dc.description.abstractEnWe 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.sponsorshipMéthodes Numériques pour les Equations Cinétiques - ANR-06-JCJC-0136
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.title.enAnalysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.description.sponsorshipEuropeNumerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology
bordeaux.journalDiscrete and Continuous Dynamical Systems - Series S
bordeaux.page283-305
bordeaux.volume5
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00287630
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00287630v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20S&rft.date=2012&rft.volume=5&rft.spage=283-305&rft.epage=283-305&rft.eissn=1937-1632&rft.issn=1937-1632&rft.au=DUCLOUS,%20Roland&DUBROCA,%20Bruno&FILBET,%20Francis&rft.genre=article


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