Residual Based a Posteriori Error Estimators for Harmonic ${\bf A}/\varphi$ and ${\bf T}/\Omega$ Formulations in Eddy Current Problems

For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of
A
/φ and
T
/Ω harmonic formulations. A device with eddy currents is studied in order to show the efficiency of the proposed estimators.