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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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https://hal.inria.fr/hal-01390250
Contributor : Emmanuel Creusé <>
Submitted on : Tuesday, November 1, 2016 - 11:02:54 AM
Last modification on : Wednesday, April 21, 2021 - 11:18:07 AM

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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, 2015, 51 (3), ⟨10.1109/TMAG.2014.2354357⟩. ⟨hal-01390250⟩

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