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.

Citation

Tang, Z., Le Menach, Y., Creuse, E., Nicaise, S., Piriou, F. and Nemitz, N. (2013), "A posteriori error estimator for harmonic A‐φ formulation", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 4, pp. 1219-1229. https://doi.org/10.1108/03321641311317040