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hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSAMBATARO, Giulia
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTADDEI, Tommaso
dc.date.accessioned2024-04-04T02:36:58Z
dc.date.available2024-04-04T02:36:58Z
dc.date.issued2023-02
dc.identifier.issn0045-7825
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190766
dc.description.abstractEnWe propose a component-based (CB) parametric model order reduction (pMOR) formulation for parameterized nonlinear elliptic partial differential equations (PDEs) based on overlapping subdomains. Our approach reads as a constrained optimization statement that penalizes the jump at the components’ interfaces subject to the approximate satisfaction of the PDE in each local subdomain. Furthermore, the approach relies on the decomposition of the local states into a port component – associated with the solution on interior boundaries – and a bubble component that vanishes at ports: since the bubble components are uniquely determined by the solution value at the corresponding port, we can recast the constrained optimization statement into an unconstrained statement, which reads as a nonlinear least-squares problem and can be solved using the Gauss–Newton method. We present thorough numerical investigations for a two-dimensional neo-Hookean nonlinear mechanics problem to validate our method; we further discuss the well-posedness of the mathematical formulation and the a priori error analysis for linear coercive problems.
dc.language.isoen
dc.publisherElsevier
dc.subject.enparameterized partial differential equations
dc.subject.enmodel order reduction
dc.subject.enoverlapping domain decom- position
dc.subject.enalternating Schwarz method
dc.title.enA one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cma.2022.115786
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.identifier.arxiv2207.05426
dc.description.sponsorshipEuropeAccurate Roms for Industrial Applications
bordeaux.journalComputer Methods in Applied Mechanics and Engineering
bordeaux.page115786
bordeaux.volume404
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03910506
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03910506v1
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