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PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

hal.structure.identifierInstitut de Recherche en Génie Civil et Mécanique [GeM]
dc.contributor.authorCHINESTA, Francisco
hal.structure.identifierInstitut de Recherche en Génie Civil et Mécanique [GeM]
dc.contributor.authorLEYGUE, Adrien
hal.structure.identifierInstitut de Recherche en Génie Civil et Mécanique [GeM]
dc.contributor.authorBORDEU, Felipe
hal.structure.identifierAragón Institute of Engineering Research [Zaragoza] [I3A]
dc.contributor.authorCUETO, Elías
hal.structure.identifierAragón Institute of Engineering Research [Zaragoza] [I3A]
dc.contributor.authorGONZALEZ, David
hal.structure.identifierLaboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.authorAMMAR, Amine
hal.structure.identifierLaboratori de Càlcul Numèric (LACAN) [LaCàN]
dc.contributor.authorHUERTA, Antonio
dc.date.accessioned2021-05-14T09:51:04Z
dc.date.available2021-05-14T09:51:04Z
dc.date.issued2013
dc.identifier.issn1134-3060
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77347
dc.description.abstractEnIn this paper we are addressing a new paradigm in the field of simulation-based engineering sciences (SBES) to face the challenges posed by current ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques , some challenging problems remain today intractable. These problems, that are common to many branches of science and engineering, are of different nature. Among them, we can cite those related to high-dimensional problems, which do not admit mesh-based approaches due to the exponential increase of degrees of freedom. We developed in recent years a novel technique, called Proper Generalized Decomposition (PGD). It is based on the assumption of a separated form of the unknown field and it 2 has demonstrated its capabilities in dealing with high-dimensional problems overcoming the strong limitations of classical approaches. But the main opportunity given by this technique is that it allows for a completely new approach for classic problems, not necessarily high dimensional. Many challenging problems can be efficiently cast into a multidimensional framework and this opens new possibilities to solve old and new problems with strategies not envisioned until now. For instance, parameters in a model can be set as additional extra-coordinates of the model. In a PGD framework, the resulting model is solved once for life, in order to obtain a general solution that includes all the solutions for every possible value of the parameters, that is, a sort of virtual chart. Under this rationale, optimization of complex problems, uncertainty quantifica-tion, simulation-based control and real-time simulation are now at hand, even in highly complex scenarios, by combining an off-line stage in which the general PGD solution, the virtual chart, is computed, and an on-line phase in which, even on deployed, hand-held, platforms such as smartphones or tablets, real-time response is obtained as a result of our queries.
dc.language.isoen
dc.publisherSpringer Verlag
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/publicDomain/
dc.title.enPGD-Based Computational Vademecum for Efficient Design, Optimization and Control
dc.typeArticle de revue
dc.identifier.doi10.1007/s11831-013-9080-x
dc.subject.halSciences de l'ingénieur [physics]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]
bordeaux.journalArchives of Computational Methods in Engineering
bordeaux.page31 - 59
bordeaux.volume20
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01515083
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01515083v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Archives%20of%20Computational%20Methods%20in%20Engineering&rft.date=2013&rft.volume=20&rft.issue=1&rft.spage=31%20-%2059&rft.epage=31%20-%2059&rft.eissn=1134-3060&rft.issn=1134-3060&rft.au=CHINESTA,%20Francisco&LEYGUE,%20Adrien&BORDEU,%20Felipe&CUETO,%20El%C3%ADas&GONZALEZ,%20David&rft.genre=article


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