Proper Generalized Decomposition of Multiscale Models
| hal.structure.identifier | Institut de Recherche en Génie Civil et Mécanique [GeM] | |
| dc.contributor.author | CHINESTA, Francisco | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | AMMAR, Amine | |
| hal.structure.identifier | Aragón Institute of Engineering Research [Zaragoza] [I3A] | |
| dc.contributor.author | CUETO, Elías | |
| dc.date.accessioned | 2021-05-14T09:51:03Z | |
| dc.date.available | 2021-05-14T09:51:03Z | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0029-5981 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/77346 | |
| dc.description.abstractEn | In this paper the coupling of a parabolic model with a system of local kinetic equations is analyzed. A space time separated representation is proposed for the global model (this is simply the radial approximation proposed by Pierre Ladeveze in the LATIN framework (Non-linear Computational Structural Mechanics. Springer: New York, 1999)). The originality of the present work concerns the treatment of the local problem, that is first globalized (in space and time) and then fully globalized by introducing a new coordinate related to the different species involved in the kinetic model. Thanks to the non-incremental nature of both discrete descriptions (the local and the global one) the coupling is quite simple and no special difficulties are encountered by using heterogeneous time integrations. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/publicDomain/ | |
| dc.subject.en | Proper Generalized Decompositions | |
| dc.subject.en | Separated representations | |
| dc.subject.en | Finite sums decomposition | |
| dc.subject.en | Multidimensional models | |
| dc.subject.en | Model reduction | |
| dc.title.en | Proper Generalized Decomposition of Multiscale Models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/nme.2794 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Matériaux | |
| bordeaux.journal | International Journal for Numerical Methods in Engineering | |
| bordeaux.page | 1114-1132 | |
| bordeaux.volume | 83 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 8-9 | |
| 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-01007222 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01007222v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Engineering&rft.date=2010&rft.volume=83&rft.issue=8-9&rft.spage=1114-1132&rft.epage=1114-1132&rft.eissn=0029-5981&rft.issn=0029-5981&rft.au=CHINESTA,%20Francisco&AMMAR,%20Amine&CUETO,%20El%C3%ADas&rft.genre=article |
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