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Finite element heterogeneous multiscale method for time-dependent Maxwell’s equation

Hochbruck, Marlis; Stohrer, Christian

Abstract:
We propose a Finite Element Heterogeneous Multiscale Method (FEHMM) for time dependent Maxwell’s equations in second-order formulation. This method can approximate the effective behavior of an electromagnetic wave traveling through a highly oscillatory material without the need to resolve the microscopic details of the material. To prove an a-priori error bound for the semi-discrete FE-HMM scheme, we need a new generalization of a Strang-type lemma for second-order hyperbolic equations. Finally, we present a numerical example that is in accordance with the theoretical results.

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Volltext §
DOI: 10.5445/IR/1000060075
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-600757
KITopen-ID: 1000060075
Verlag KIT, Karlsruhe
Umfang 12 S.
Serie CRC 1173 ; 2016/25
Schlagworte time dependent Maxwell’s equations, finite element heterogeneous multiscale method, Strang-type lemma for hyperbolic PDEs
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