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Construction d’une fonction substitue base sur un couplage Kriging/”Sparse Polynomial Decomposition” avec raffinement adaptatif

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCONGEDO, Pietro Marco
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCORTESI, Andrea
hal.structure.identifierCentre de Mise en Forme des Matériaux [CEMEF]
dc.contributor.authorEL JANNOUN, Ghina
dc.date.accessioned2024-04-04T03:08:35Z
dc.date.available2024-04-04T03:08:35Z
dc.date.issued2017-08-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193539
dc.description.abstractEnUncertainty Quantification and global Sensitivity Analysis problems are made more difficult in the case of applications which involve expensive computer simulations. This because a limited amount of simulations is available to build a sufficiently accurate metamodel of the quantities of interest.In this work, a numerical technique for the construction of a low-cost and accurate metamodel is proposed, having in mind applications with expensive computer codes. Two main points are intro- duced. Firstly, a technique which couples Universal Kriging with sparse Polynomial Dimensional Decomposition (PDD) to build a metamodel with improved accuracy. The polynomials selected by the adaptive PDD representation are used as a sparse basis to build an Universal Kriging surrogate model. The second is a strategy, derived from anisotropic mesh adaptation, to adaptively add a fixed number of new training points to an existing Design of Experiments.The convergence of the proposed algorithm is analyzed and assessed on different test functions with an increasing size of the input space. Finally, the algorithm is used to propagate uncertainties in two high-dimensional real problems related to the atmospheric reentry.
dc.language.isoen
dc.titleConstruction d’une fonction substitue base sur un couplage Kriging/”Sparse Polynomial Decomposition” avec raffinement adaptatif
dc.title.enKriging-sparse Polynomial Dimensional Decomposition surrogate model with adaptive refinement
dc.typeRapport
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
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-01610195
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01610195v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Construction%20d%E2%80%99une%20fonction%20substitue%20base%20sur%20un%20couplage%20Kriging/%E2%80%9DSparse%20Polynomial%20Decomposition%E2%80%9D%20avec%20raffinement%20ad&rft.atitle=Construction%20d%E2%80%99une%20fonction%20substitue%20base%20sur%20un%20couplage%20Kriging/%E2%80%9DSparse%20Polynomial%20Decomposition%E2%80%9D%20avec%20raffinement%20a&rft.date=2017-08-01&rft.au=CONGEDO,%20Pietro%20Marco&CORTESI,%20Andrea&EL%20JANNOUN,%20Ghina&rft.genre=unknown


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