Eigendecompositions and fast eigensolvers for Maxwell equations
type: Item
instance of: scholarly article
title: Eigendecompositions and fast eigensolvers for Maxwell equations
zbMATH Open document ID: 1386.78020
author: So-Hsiang Chou
author: Wen-Wei Lin
published in: ICCM Notices
publication date: 2018-01-11T00:00:00Z
review text: This review paper reports on some results concerning the computation of the band structures of photonic crystals. The methods discussed allow to deduce explicit eigen-decompositions for the discrete single and double curl operators associated with the eigenvalue problems associated to the discretization of the Maxwell eigenvalue problem. On the one side, these eigen-decompositions can be computed by using the fast Fourier method. On the other side, it seems that the efficient computational realization of the null space enables to derive the null space free method. The results are illustrated and supported by numerical examples.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 6824448
zbMATH Keywords: fast eigensolvers
zbMATH Keywords: Maxwell equations
zbMATH Keywords: curl operator
zbMATH Keywords: photonic crystals
MaRDI profile type: Publication
full work available at URL: iccm.2016.v4.n1.a6
OpenAlex ID: W2501832811
DOI: 10.4310/ICCM.2016.V4.N1.A6
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description: scientific article; zbMATH DE number 6824448