Space-time residual-based a posteriori estimator for the A-phi formulation in eddy current problems

Roberta Tittarelli 1, 2, 3 Yvonnick Le Menach 2 Emmanuel Creusé 4 Serge Nicaise 5 Francis Piriou 2 Olivier Moreau 3 Olivier Boiteau 3
1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - EA 2697
3 EDF R&D - EDF R&D
4 RAPSODI - Reliable numerical approximations of dissipative systems
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
5 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015
Abstract : In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward Euler scheme in time. Once the reliability as well as the efficiency of the estimator is established, two numerical tests are proposed: 1) an analytical one to validate the theoretical results and 2) a physical one to illustrate the performance for a real eddy current problem.
Type de document :
Article dans une revue
IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2016, 51 (3), 〈10.1109/TMAG.2014.2354357〉
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https://hal.inria.fr/hal-01390250
Contributeur : Emmanuel Creusé <>
Soumis le : mardi 1 novembre 2016 - 11:02:54
Dernière modification le : mercredi 25 avril 2018 - 14:28:01

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Roberta Tittarelli, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, et al.. Space-time residual-based a posteriori estimator for the A-phi formulation in eddy current problems. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2016, 51 (3), 〈10.1109/TMAG.2014.2354357〉. 〈hal-01390250〉

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