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A posteriori error estimator for harmonic A‐φ formulation

Abstract : 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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https://hal-uphf.archives-ouvertes.fr/hal-03184425
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Submitted on : Monday, March 29, 2021 - 2:37:19 PM
Last modification on : Wednesday, September 21, 2022 - 3:16:19 PM

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Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, et al.. A posteriori error estimator for harmonic A‐φ formulation. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2013, 32 (4), pp.1219-1229. ⟨10.1108/03321641311317040⟩. ⟨hal-03184425⟩

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