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Numerical investigation on the Total Sensitivity Index influence in the solution of stochastic partial differential equations

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.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorCONGEDO, Pietro Marco
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorGERACI, Gianluca
dc.date.accessioned2024-04-04T03:17:47Z
dc.date.available2024-04-04T03:17:47Z
dc.date.created2011-11-01
dc.date.issued2012-03-21
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194340
dc.description.abstractEnIn the present work a criterion on the reduction of the stochastic dimensions has been investigated in the context of the stochastic partial differential equations. Three different types of equations have been analyzed: elliptical, parabolic and an hyperbolic. For each equation, both mean and variance have been computed on some scalar output of interest. The complete and the reduced models have been compared in terms of statistical moments. The validity and the efficiency of a criterion based on TSI index has been investigated, and an error correlation has been found between the error on the variance and the TSI, that will be validated in a future work for more complex equations.
dc.language.isoen
dc.title.enNumerical investigation on the Total Sensitivity Index influence in the solution of stochastic partial differential equations
dc.typeRapport
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
bordeaux.page19
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA Bordeaux, équipe CARDAMOM
bordeaux.type.reportrr
hal.identifierhal-00681405
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00681405v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-03-21&rft.spage=19&rft.epage=19&rft.au=ABGRALL,%20Remi&CONGEDO,%20Pietro%20Marco&GERACI,%20Gianluca&rft.genre=unknown


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