On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations

DOI10.1016/j.camwa.2017.02.043zbMath1379.78020OpenAlexW2602339190MaRDI QIDQ2403724

Christian Stohrer, Sonia Fliss, Patrick~jun. Ciarlet

Publication date: 12 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.043

zbMATH Keywords

Maxwell's equationsnumerical homogenizationtwo-scale convergence\(T\)-coercivityheterogeneous multiscale methodedge finite elements

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Homogenization in optics and electromagnetic theory (78M40)

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Uses Software

• FreeFem++

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