A posteriori error estimator for harmonic A‐φ formulation - Université Polytechnique des Hauts-de-France
Article Dans Une Revue COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Année : 2013

A posteriori error estimator for harmonic A‐φ formulation

Résumé

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-? 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-? 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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Dates et versions

hal-00910309 , version 1 (27-11-2013)

Identifiants

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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, 2013, 32 (4), pp.1219-1229. ⟨10.1108/03321641311317040⟩. ⟨hal-00910309⟩
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