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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2012

Residual-based a posteriori estimators for the A/phi magnetodynamic harmonic formulation of the Maxwell system

Résumé

This paper is devoted to the derivation of an a posteriori residual-based error estimator for the A/phi magnetodynamic harmonic formulation of the Maxwell system. The weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc Helmholtz decomposition is proven, which allows to pertinently split the error. Consequently, an a posteriori error estimator is obtained, which is proven to be reliable and locally efficient. Finally, numerical tests confirm the theoretical results.
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Dates et versions

hal-00562073 , version 1 (02-02-2011)

Identifiants

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Emmanuel Creusé, Serge Nicaise, Zuqi Tang, Yvonnick Le Menach, Nicolas Nemitz, et al.. Residual-based a posteriori estimators for the A/phi magnetodynamic harmonic formulation of the Maxwell system. Mathematical Models and Methods in Applied Sciences, 2012, 22 (5), pp.30. ⟨10.1142/S021820251150028X⟩. ⟨hal-00562073⟩
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