Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains
| 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 | |
| hal.structure.identifier | Institut de Recherche en Génie Civil et Mécanique [GeM] | |
| dc.contributor.author | CHINESTA, Francisco | |
| dc.date.accessioned | 2021-05-14T09:55:20Z | |
| dc.date.available | 2021-05-14T09:55:20Z | |
| dc.date.issued | 2012-09 | |
| dc.identifier.issn | 0029-5981 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/77682 | |
| dc.description | This work addresses the recurrent issue related to the existence of reduced bases related to the solution of parametric models defined in evolving domains. In this first part of the work, we address the case of decoupled kinematics, that is, models whose solution does not affect the domain in which they are defined. The chosen framework considers an updated Lagrangian description of the kinematics, solved by using natural neighbor Galerkin methods within a nonincremental space–time framework that can be generalized for addressing parametric models. Examples showing the performance and potentialities of the proposed methodology are included. | |
| dc.description.abstractEn | This work addresses the recurrent issue related to the existence of reduced bases related to the solution of parametric models defined in evolving domains. In this first part of the work, we address the case of decoupled kinematics, that is, models whose solution does not affect the domain in which they are defined. The chosen framework considers an updated Lagrangian description of the kinematics, solved by using natural neighbor Galerkin methods within a nonincremental space–time framework that can be generalized for addressing parametric models. Examples showing the performance and potentialities of the proposed methodology are included. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.subject.en | model reduction | |
| dc.subject.en | proper generalized decomposition | |
| dc.subject.en | large geometrical transformations | |
| dc.subject.en | meshless methods | |
| dc.subject.en | natural element method | |
| dc.subject.en | parametric models | |
| dc.title.en | Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/nme.4413 | |
| dc.subject.hal | Informatique [cs]/Ingénierie assistée par ordinateur | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | International Journal for Numerical Methods in Engineering | |
| bordeaux.page | 887-904 | |
| bordeaux.volume | 93 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 8 | |
| 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-01207448 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01207448v1 | |
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