A posteriori error estimation for stochastic static problems
dc.contributor.author | MAC, Hung |
dc.contributor.author
hal.structure.identifier | CLENET, Stephane
|
dc.date.accessioned | 2014 |
dc.date.available | 2014 |
dc.date.issued | 2014 |
dc.date.submitted | 2014 |
dc.identifier.issn | 0018-9464 |
dc.identifier.uri | http://hdl.handle.net/10985/8319 |
dc.description.abstract | To solve stochastic static field problems, a discretization by the Finite Element Method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes for example) being random variables. To solve this stochastic system, the random variables can be approximated in a finite dimension functional space - a truncated polynomial chaos expansion. The error between the exact solution and the approximated one depends not only on the spatial mesh but also on the discretization along the stochastic dimension. In this paper, we propose an a posteriori estimation of the error due to the discretization along the stochastic dimension. |
dc.description.sponsorship | This work is supported by the program MEDEE funded by the Nord Pas de Calais council and the European Community. |
dc.language.iso | en |
dc.publisher | Institute of Electrical and Electronics Engineers |
dc.rights | Post-print |
dc.subject | Stochastic Problems |
dc.subject | Finte Element Method |
dc.subject | Polynomial Chaos Expansion |
dc.subject | Static Fields |
dc.subject | Error estimation |
dc.title | A posteriori error estimation for stochastic static problems |
dc.identifier.doi | 10.1109/TMAG.2013.2281103 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Lille |
dc.subject.hal | Sciences de l'ingénieur: Electromagnétisme |
ensam.audience | Internationale |
ensam.page | nc |
ensam.journal | IEEE Transactions on Magnetics |
ensam.volume | 50 |
ensam.issue | 2 |
hal.identifier | hal-01017925 |
hal.version | 1 |
hal.status | accept |