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 hal.structure.identifier
BOUCINHA, Lucas
31214 Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] [LaMCoS]
dc.contributor.author
 hal.structure.identifier
AMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.author
 hal.structure.identifier
GRAVOUIL, Anthony
56663 Institut Universitaire de France [IUF]
31214 Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] [LaMCoS]
dc.contributor.author
 hal.structure.identifier
NOUY, Anthony
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]
dc.date.accessioned2014
dc.date.available2014
dc.date.issued2014
dc.date.submitted2014
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/10985/8456
dc.description.abstractIt is now well established that separated representations built with the help of proper generalized decomposition (PGD) can drastically reduce computational costs associated with solution of a wide variety of problems. However, it is still an open question to know if separated representations can be efficiently used to approximate solutions of hyperbolic evolution problems in space-time domain. In this paper, we numerically address this issue and concentrate on transient elastodynamic models. For such models, the operator associated with the space-time problem is non-symmetric and low-rank approximations are classically computed by minimizing the space-time residual in a natural L2 sense, yet leading to non optimal approximations in usual solution norms. Therefore, a new algorithm has been recently introduced by one of the authors and allows to find a quasi-optimal low-rank approximation a priori with respect to a target norm. We presently extend this new algorithm to multi-field models. The proposed algorithm is applied to elastodynamics formulated over space-time domain with the Time Discontinuous Galerkin method in displacement and velocity. Numerical examples demonstrate convergence of the proposed algorithm and comparisons are made with classical a posteriori and a priori approaches.
dc.description.sponsorshipAgence Nationale de la Recherche Française (ANR-10-COSI-0006)
dc.language.isoen_US
dc.publisherElsevier
dc.rightsPost-print
dc.subjectElastodynamics
dc.subjectSeparation of variables
dc.subjectProper orthogonal decomposition (POD)
dc.subjectProper generalized decomposition (PGD)
dc.subjectMinimal residual
dc.subjectMulti-field
dc.titleIdeal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – Application to transient elastodynamics in space-time domain
ensam.hal.submitverify
dc.identifier.doi10.1016/j.cma.2014.01.019
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Angers
dc.subject.halSciences de l'ingénieur: Mécanique
ensam.audienceInternationale
ensam.page56-76
ensam.journalComputer Methods in Applied Mechanics and Engineering
ensam.volume273
hal.identifierhal-01060940
hal.version1
hal.submission.permittedupdateMetadata
hal.statusaccept


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