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 hal.structure.identifier
MAC, Duy Hung
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
dc.contributor.author
 hal.structure.identifier
TANG, Z.
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
dc.contributor.author
 hal.structure.identifier
CLENET, Stéphane
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
dc.contributor.authorCREUSE, E.
dc.date.accessioned2015
dc.date.available2015
dc.date.issued2015
dc.date.submitted2015
dc.identifier.issn0377-0427
dc.identifier.urihttp://hdl.handle.net/10985/9557
dc.description.abstractIn this paper, we propose an a posteriori error estimator for the numerical approximation of a stochastic magnetostatic problem, whose solution depends on the spatial variable but also on a stochastic one. The spatial discretization is performed with finite elements and the stochastic one with a polynomial chaos expansion. As a consequence, the numerical error results from these two levels of discretization. In this paper, we propose an error estimator that takes into account these two sources of error, and which is evaluated from the residuals.
dc.description.sponsorshipThis work is supported by the program MEDEE funded by the Nord Pas de Calais council and the European Community and is supported in part by the Labex CEMPI (ANR-11-LABX-0007-01).
dc.language.isoen
dc.publisherElsevier
dc.rightsPost-print
dc.subjectA posteriori error estimator
dc.subjectfinite element analysis
dc.subjectStochastic problem
dc.subjectStochastic partial differential equations
dc.subjectResidual-based a posteriori error estimate
dc.subjectPolynomial chaos expansion
dc.titleResidual-based a posteriori error estimation for stochastic magnetostatic problems
dc.identifier.doidoi:10.1016/j.cam.2015.03.027
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Lille
dc.subject.halMathématique: Analyse numérique
dc.subject.halSciences de l'ingénieur: Energie électrique
ensam.audienceNon spécifiée
ensam.page51-67
ensam.journalJournal of Computational and Applied Mathematics
ensam.volume289
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