A posteriori error estimator for harmonic A‐φ formulation

Archive ouverte : Article de revue

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

Edité par HAL CCSD ; Emerald

International audience. Purpose :In this paper, the aim is to propose a residual‐based error estimator to evaluate the numerical error induced by the computation of the electromagnetic systems using a finite element method in the case of the harmonic A‐φ formulation.Design/methodology/approach :The residual based error estimator used in this paper verifies the mathematical property of global and local error estimation (reliability and efficiency).Findings :This estimator used is based on the evaluation of quantities weakly verified in the case of harmonic A‐φ formulation.Originality/value :In this paper, it is shown that the proposed estimator, based on the mathematical developments, is hardness in the case of the typical applications.

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