An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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摘要We propose and analyze an adaptive inverse iterative method for solving the Maxwell eigenvalue problem with discontinuous physical parameters in three dimensions. The adaptive method updates the eigenvalue and eigenfunction based on an a posteriori error estimate of the edge element discretization. At each iteration, the involved saddle-point Maxwell system is transformed into an equivalent system consisting of a singular Maxwell equation and two Poisson equations, for both of which preconditioned iterative solvers are available with optimal convergence rate in terms of the total degrees of freedom. Numerical results are presented, which confirms the quasi-optimal convergence of the adaptive edge element method in terms of the numerical accuracy and the total degrees of freedom. © 2010 Elsevier Inc. All rights reserved.
著者Chen J., Xu Y., Zou J.
期刊名稱Journal of Computational Physics
出版年份2010
月份4
日期1
卷號229
期次7
出版社Academic Press
出版地United States
頁次2649 - 2658
國際標準期刊號0021-9991
電子國際標準期刊號1090-2716
語言英式英語
關鍵詞A posterior error estimates, Adaptive inverse iteration, Edge elements, Maxwell eigenvalue problem

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