Analysis of multiscale methods for time‐harmonic Maxwell's equations
Patrick Henning, Mario Ohlberger, Barbara Verfürth · PAMM · 2016
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)