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Adaptive time discretization and linearization based on a posteriori estimates for the Richards equation

hal.structure.identifierBureau de Recherches Géologiques et Minières [BRGM]
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBARON, Vincent
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOUDIÈRE, Yves
hal.structure.identifierBureau de Recherches Géologiques et Minières [BRGM]
dc.contributor.authorSOCHALA, Pierre
dc.contributor.editorFuhrmann, Jürgen
dc.contributor.editorOhlberger, Mario
dc.contributor.editorRohde, Christian
dc.date.accessioned2024-04-04T02:18:24Z
dc.date.available2024-04-04T02:18:24Z
dc.date.created2014-03-10
dc.date.issued2014-06
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189310
dc.description.abstractEnWe derive some a posteriori error estimates for the Richards equation, based on the dual norm of the residual. This equation is nonlinear in space and in time, thus its resolution requires fixed-point iterations within each time step. We propose a strategy to decrease the computational cost relying on a splitting of the error terms in three parts: linearization, time discretization, and space discretization. In practice, we stop the fixed-point iterations after the linearization error becomes negligible, and choose the time step in order to balance the time and space errors.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherSpringer
dc.title.enAdaptive time discretization and linearization based on a posteriori estimates for the Richards equation
dc.typeOuvrage
dc.identifier.doi10.1007/978-3-319-05591-6_48
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.page8 p.
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.countryFR
hal.identifierhal-00983512
hal.version1
hal.popularnon
hal.audienceNon spécifiée
dc.subject.itA posteriori estimate
dc.subject.itRichards equation
dc.subject.itDiscrete Duality Finite Volume scheme
dc.subject.itadaptive algorithm
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00983512v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2014-06&rft.spage=8%20p.&rft.epage=8%20p.&rft.au=BARON,%20Vincent&COUDI%C3%88RE,%20Yves&SOCHALA,%20Pierre&rft.genre=unknown


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