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hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorKRUST, Arnaud
dc.date.accessioned2024-04-04T02:25:29Z
dc.date.available2024-04-04T02:25:29Z
dc.date.issued2012-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189888
dc.description.abstractEnWe are interested in developing a numerical framework well suited for advection-diffusion problems when the advection part is dominant. In that case, given Dirichlet type boundary condition, it is well known that a boundary layer develops. In order to resolve correctly this layer, standard methods consist in increasing the mesh resolution and possibly increasing the formal accuracy of the numerical method. In this paper, we follow another path: we do not seek to increase the formal accuracy of the scheme but, by a careful choice of finite element, to lower the mesh resolution in the layer. Indeed the finite element representation we choose is locally the sum of a standard one plus an enrichment. This paper proposes such a method and with several numerical examples, we show the potential of this approach. In particular we show that the method is not very sensitive to the choice of the enrichment.
dc.language.isoen
dc.subject.enenrichment
dc.subject.enadaptivity
dc.subject.enstabilized finite elements
dc.subject.enXFEM
dc.subject.enboundary-layer
dc.title.enAn adaptive enrichment algorithm for advection-dominated problems.
dc.typeRapport
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.description.sponsorshipEuropeAdaptive Schemes for Deterministic and Stochastic Flow Problems
bordeaux.page24
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-00665524
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00665524v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-01&rft.spage=24&rft.epage=24&rft.au=ABGRALL,%20Remi&KRUST,%20Arnaud&rft.genre=unknown


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