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dc.contributor.author
 hal.structure.identifier
MAC, Duy Hung
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.authorMIPO, Jean-Claude
dc.contributor.authorTSUKERMAN, Igor
dc.date.accessioned2013
dc.date.available2013
dc.date.issued2013
dc.date.submitted2013
dc.identifier.issn0018-9464
dc.identifier.urihttp://hdl.handle.net/10985/7114
dc.descriptionVersion éditeur de cette publication à l'adresse suivante : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6514655
dc.description.abstractTo solve stochastic problems with geometric uncertainties, one can transform the original problem in a domain with stochastic boundaries and interfaces to a problem defined in a deterministic domain with uncertainties in the material behavior. The latter problem is then discretized. There exist infinitely many random mappings that lead to identical results in the continuous domain but not in the discretized domain. In this paper, an a priori error indicator is proposed for electromagnetic problems with scalar and vector potential formulations. This leads to criteria for selecting random mappings that reduce the numerical error. In an illustrative numerical example, the proposed a priori error indicator is compared with an a posteriori estimator for both potential formulations
dc.description.sponsorshipThis work is supported by the program MEDEE funded by the Nord Pas de Calais council and the European Community and supported in part by the National Science Foundation under Grant No. 1216927.
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.rightsPost-print
dc.subjectStochastic problem
dc.subjectrandom domain
dc.subjectrandom mapping
dc.subjecta priori error indicator
dc.subjectstatic fields
dc.titleA priori error indicator in the transformation method for problems with geometric uncertainties
dc.identifier.doi10.1109/TMAG.2013.2243706
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Lille
dc.subject.halMathématique: Analyse numérique
dc.subject.halSciences de l'ingénieur: Electromagnétisme
dc.subject.halSciences de l'ingénieur: Energie électrique
ensam.audienceNon spécifiée
ensam.page1597 - 1600
ensam.journalIEEE Transactions on Magnetics
ensam.volume49
ensam.issue5
hal.identifierhal-00830870
hal.version1
hal.submission.permittedupdateMetadata
hal.statusaccept


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