- Published 2012

In this paper, we focus on an a posteriori residual-based error estimator for the T/Ω magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/φ formulation [7], the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc Helmholtz decomposition for the T/Ω case is derived, which allows to pertinently split the error. Consequently, an a posteriori error estimator is obtained, which is proven to be reliable and locally efficient. Finally, numerical tests confirm the theoretical results.

@inproceedings{Creus2012ResidualbasedAP,
title={Residual-based a Posteriori Estimators for the T/ω Magnetodynamic Harmonic Formulation of the Maxwell System},
author={Emmanuel Creus{\'e} and Serge Nicaise and Zuqi Tang and Yvonnick Le Menach and Francis Piriou},
year={2012}
}