Error Estimation for Model Order Reduction of Finite Element Parametric Problems
dc.contributor.author
hal.structure.identifier | CLENET, Stéphane
|
dc.contributor.author
hal.structure.identifier | HENNERON, Thomas
|
dc.date.accessioned | 2016 |
dc.date.available | 2016 |
dc.date.issued | 2016 |
dc.date.submitted | 2016 |
dc.identifier.issn | 0018-9464 |
dc.identifier.uri | http://hdl.handle.net/10985/11034 |
dc.description.abstract | To solve a parametric model in computational electromagnetics, the Finite Element method is often used. To reduce the computational time and the memory requirement, the Finite Element method can be combined with Model Order Reduction Technic like the Proper Orthogonal Decomposition (POD) and the (Discrete) Empirical Interpolation ((D)EI) Methods. These three numerical methods introduce errors of discretisation, reduction and interpolation respectively. The solution of the parametric model will be efficient if the three errors are of the same order and so they need to be evaluated and compared. In this paper, we propose an aposteriori error estimator based on the verification of the constitutive law which estimates the three different errors. An example of application in magnetostatics with 11 parameters is treated where it is shown how the error estimator can be used to control and to improve the accuracy of the solution of the reduced model. |
dc.language.iso | en |
dc.publisher | Institute of Electrical and Electronics Engineers |
dc.rights | Post-print |
dc.subject | (D)EI method |
dc.subject | Model Order Reduction |
dc.subject | POD method |
dc.subject | Finite Element Method |
dc.subject | Adaptive procedure |
dc.subject | Error estimation |
dc.title | Error Estimation for Model Order Reduction of Finite Element Parametric Problems |
dc.identifier.doi | 10.1109/TMAG.2015.2489762 |
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 | 1-10 |
ensam.journal | IEEE Transactions on Magnetics |
ensam.volume | 52 |
ensam.peerReviewing | Oui |
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hal.update-error.status | newSubmission |
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