Analysis of multiscale methods for time-harmonic Maxwell's equations
Abstract
We shortly revisit the Heterogeneous Multiscale Method (HMM) for the time-harmonic Maxwell's equations in locally periodic media as introduced in [1]. The optimal a priori bounds in the H(curl) and H−1 norm predicted theoretically are justified by a numerical example in this contribution. The setting consists of a periodic inverse permeability, inspired by [2], and as reference solution a computation on a fine (well-resolved) grid is used. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)