Volume 16, Issue 1 pp. 559-560
Section 8
Free Access

Analysis of multiscale methods for time-harmonic Maxwell's equations

Patrick Henning

Patrick Henning

Division of Numerical Analysis, Mathematics, Kungliga Tekniska Högskolan, Lindstedtsvägen 25, 100 44 Stockholm, Sweden

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Mario Ohlberger

Mario Ohlberger

Institute for Computational and Applied Mathematics, University of Münster, Einsteinstr. 62, 48149 Münster, Germany

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Barbara Verfürth

Corresponding Author

Barbara Verfürth

Institute for Computational and Applied Mathematics, University of Münster, Einsteinstr. 62, 48149 Münster, Germany

phone +49 251 83 35064, fax +49 251 83 32729Search for more papers by this author
First published: 25 October 2016
Citations: 1

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)

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