A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems

Zuqi Tang 1 Y. Le Menach 2 Emmanuel Creusé 3, 4 Serge Nicaise 5 Francis Piriou 2 Nicolas Nemitz 6
1 SERENA - Simulation for the Environment : Reliable and Efficient Numerical Algorithms
Inria Paris-Rocquencourt
2 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - EA 2697
3 RAPSODI - Reliable numerical approximations of dissipative systems
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
4 LPP - Laboratoire Paul Painlevé - UMR 8524
5 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015
6 EDF R&D - EDF R&D
Abstract : The purpose of this paper is to propose some a posteriori residual error estimators (REEs)to evaluate the accuracy of the finite element method for quasi-static electromagnetic problems with mixed boundary conditions. Both classical magnetodynamic A-ϕ and T-Ω formulations in harmonic case are analysed. As an example of application the estimated error maps of an electromagnetic system are studied. At last, a remeshing process is done according to the estimated error maps.
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Journal articles
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Contributor : Emmanuel Creusé <>
Submitted on : Tuesday, December 15, 2015 - 11:27:11 AM
Last modification on : Wednesday, November 21, 2018 - 2:52:10 PM

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Zuqi Tang, Y. Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, et al.. A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2015, 34 (3), pp.724-739. 〈10.1108/COMPEL-10-2014-0256〉. 〈hal-01243637〉

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