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Journal of Scientific Computing

Erschienen in:

01.01.2020

A Mixed Method for Maxwell Eigenproblem

verfasst von: Zhijie Du, Huoyuan Duan

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2020

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Abstract

We propose a mixed method for the computation of the eigenvalues of the Maxwell eigenproblem, in terms of the electric field and a multiplier. The method allows the Lagrange elements of any order greater than or equal to two for the electric field, while a piecewise constant element always for the multiplier. We show that optimal error estimates yield for singular as well as smooth solutions. For the Maxwell eigenproblem in L-shaped domain which has singular and smooth eigenfunctions, we present numerical results for illustrating the effectiveness of the proposed method and for confirming the theoretical results.

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Titel: A Mixed Method for Maxwell Eigenproblem
verfasst von: Zhijie Du
Huoyuan Duan
Publikationsdatum: 01.01.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-019-01111-0

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