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

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.
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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 : jeudi 11 janvier 2018 - 06:27:32

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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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