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

Archive ouverte : Article de revue

Creusé, Emmanuel | Nicaise, Serge | Tang, Zuqi | Le Menach, Yvonnick | Nemitz, Nicolas | Piriou, Francis

Edité par HAL CCSD ; World Scientific Publishing

International audience. 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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