Residual-based a posteriori error estimation for stochastic magnetostatic problems
dc.contributor.author
hal.structure.identifier | MAC, Duy Hung
|
dc.contributor.author
hal.structure.identifier | TANG, Z.
|
dc.contributor.author
hal.structure.identifier | CLENET, Stéphane
|
dc.contributor.author | CREUSE, E. |
dc.date.accessioned | 2015 |
dc.date.available | 2015 |
dc.date.issued | 2015 |
dc.date.submitted | 2015 |
dc.identifier.issn | 0377-0427 |
dc.identifier.uri | http://hdl.handle.net/10985/9557 |
dc.description.abstract | In 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.sponsorship | This 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.iso | en |
dc.publisher | Elsevier |
dc.rights | Post-print |
dc.subject | A posteriori error estimator |
dc.subject | finite element analysis |
dc.subject | Stochastic problem |
dc.subject | Stochastic partial differential equations |
dc.subject | Residual-based a posteriori error estimate |
dc.subject | Polynomial chaos expansion |
dc.title | Residual-based a posteriori error estimation for stochastic magnetostatic problems |
dc.identifier.doi | doi:10.1016/j.cam.2015.03.027 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Lille |
dc.subject.hal | Mathématique: Analyse numérique |
dc.subject.hal | Sciences de l'ingénieur: Energie électrique |
ensam.audience | Non spécifiée |
ensam.page | 51-67 |
ensam.journal | Journal of Computational and Applied Mathematics |
ensam.volume | 289 |
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