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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.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000060075
ISSN: 2365-662X
URN: 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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