Analysis of multiscale methods for time‐harmonic Maxwell's equations. Issue 1 (25th October 2016)

• Record Type: Journal Article
• Authors: Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 559
• Page End: 560
• Publication Date: 2016-10-25
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610268
• Languages: English
• ISSNs: 1617-7061

Abstract

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 theH (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)