Residual Based a Posteriori Error Estimators for Harmonic A/φ and T/Ω Formulations in Eddy Current Problems

Zuqi Tang (1) , Yvonnick Le Menach (1) , Emmanuel Creusé (2) , Serge Nicaise (3) , Francis Piriou (1) , Nicolas Nemitz (4)

1 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697
2 SIMPAF - SImulations and Modeling for PArticles and Fluids
3 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015
4 EDF R&D - EDF R&D

For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of A /φ and T /Ω harmonic formulations. A device with eddy currents is studied in order to show the efficiency of the proposed estimators.

Domaines: Analyse numérique [math.NA]

Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, et al.. Residual Based a Posteriori Error Estimators for Harmonic A/φ and T/Ω Formulations in Eddy Current Problems. IEEE Transactions on Magnetics, 2013, 49 (5), pp.1721-1724. ⟨10.1109/TMAG.2013.2241408⟩. ⟨hal-00910319⟩