Resumen de A posteriori error estimator for harmonic A‐φ formulation

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

• 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.