Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models - Application to transient elastodynamics in space-time domain
| hal.structure.identifier | Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] [LaMCoS] | |
| hal.structure.identifier | Mécanique Multiéchelle pour les solides [MIMESIS] | |
| dc.contributor.author | BOUCINHA, Lucas | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | AMMAR, Amine | |
| hal.structure.identifier | Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] [LaMCoS] | |
| hal.structure.identifier | Institut universitaire de France [IUF] | |
| hal.structure.identifier | Mécanique Multiéchelle pour les solides [MIMESIS] | |
| dc.contributor.author | GRAVOUIL, Anthony | |
| hal.structure.identifier | Institut de Recherche en Génie Civil et Mécanique [GeM] | |
| dc.contributor.author | NOUY, Anthony | |
| dc.date.accessioned | 2021-05-14T10:02:16Z | |
| dc.date.available | 2021-05-14T10:02:16Z | |
| dc.date.created | 2013-05-22 | |
| dc.date.issued | 2014-02-04 | |
| dc.identifier.issn | 0045-7825 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/78294 | |
| dc.description.abstractEn | It 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.sponsorship | Nouveau paradigme en SIMulation numérique – Décomposition en variables séparées pour la REduction A priori de Modèle - ANR-10-COSI-0006 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | multi-field | |
| dc.subject.en | minimal residual | |
| dc.subject.en | elastodynamics | |
| dc.subject.en | separation of variables | |
| dc.subject.en | Proper Orthogonal Decomposition (POD) | |
| dc.subject.en | Proper Generalized Decomposition (PGD) | |
| dc.title.en | Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models - Application to transient elastodynamics in space-time domain | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.cma.2014.01.019 | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des structures [physics.class-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des structures [physics.class-ph] | |
| bordeaux.journal | Computer Methods in Applied Mechanics and Engineering | |
| bordeaux.page | 56-76 | |
| bordeaux.volume | 273 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00952496 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00952496v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computer%20Methods%20in%20Applied%20Mechanics%20and%20Engineering&rft.date=2014-02-04&rft.volume=273&rft.spage=56-76&rft.epage=56-76&rft.eissn=0045-7825&rft.issn=0045-7825&rft.au=BOUCINHA,%20Lucas&AMMAR,%20Amine&GRAVOUIL,%20Anthony&NOUY,%20Anthony&rft.genre=article |
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