Show simple item record

hal.structure.identifierdepartment of mathematics
dc.contributor.authorLIU, Jian-Guo
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMIEUSSENS, Luc
dc.date.accessioned2024-04-04T02:33:12Z
dc.date.available2024-04-04T02:33:12Z
dc.date.issued2010
dc.identifier.issn0036-1429
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190454
dc.description.abstractEnWe present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334-368, 2008] for linear transport equations in kinetic and diffusive regimes. We prove that the scheme is uniformly stable and accurate with respect to the mean free path of the particles. This property is satisfied under an explicitly given CFL condition. This condition tends to a parabolic CFL condition for small mean free paths, and is close to a convection CFL condition for large mean free paths. Ou r analysis is based on very simple energy estimates.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.title.enAnalysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit
dc.typeArticle de revue
dc.identifier.doi10.1137/090772770
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.identifier.arxiv0910.0518
bordeaux.journalSIAM Journal on Numerical Analysis
bordeaux.page1474-1491
bordeaux.volume48
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00421719
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00421719v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Numerical%20Analysis&rft.date=2010&rft.volume=48&rft.issue=4&rft.spage=1474-1491&rft.epage=1474-1491&rft.eissn=0036-1429&rft.issn=0036-1429&rft.au=LIU,%20Jian-Guo&MIEUSSENS,%20Luc&rft.genre=article


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record