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Parareal in time intermediate targets methods for optimal control problems

hal.structure.identifier
dc.contributor.authorMaday, Yvon*
hal.structure.identifier
dc.contributor.authorRiahi, Mohamed Kamel
HAL ID: 4859		*
hal.structure.identifier
dc.contributor.authorSalomon, Julien
HAL ID: 738224		*
dc.date.accessioned2012-03-14T14:42:12Z
dc.date.available2012-03-14T14:42:12Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/8505
dc.descriptionInternational Series of Numerical Mathematics, vol.164
dc.language.isoenen
dc.subjectOptimization and control
dc.subjectparallel algorithm
dc.subjectparareal in time algorithm
dc.subjecthight performance computing,
dc.subjectPDEs
dc.subject.ddc519en
dc.titleParareal in time intermediate targets methods for optimal control problems
dc.typeChapitre d'ouvrage
dc.contributor.editoruniversityotherLaboratoire Jacques-Louis Lions (LJLL) http://www.ann.jussieu.fr CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie;France
dc.description.abstractenIn this paper, we present a method that enables solving in parallel the Euler-Lagrange system associated with the optimal control of a parabolic equation. Our approach is based on an iterative update of a sequence of intermediate targets that gives rise to independent sub-problems that can be solved in parallel. This method can be coupled with the parareal in time algorithm. Numerical experiments show the efficiency of our method.
dc.identifier.citationpages79-92
dc.relation.ispartoftitleControl and Optimization with PDE Constraints
dc.relation.ispartofeditorKristian Bredies, Christian Clason, Karl Kunisch, Gregory von Winckel
dc.relation.ispartofpublnameSpringer
dc.relation.ispartofpublcityBerlin Heidelberg
dc.relation.ispartofdate2013
dc.relation.ispartofurl10.1007/978-3-0348-0631-2
dc.identifier.urlsitehttps://arxiv.org/abs/1203.2360v1
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn978-3-0348-0630-5
dc.identifier.doi10.1007/978-3-0348-0631-2_5
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-03-13T13:18:21Z
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