An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements
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AbstractWe 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.
All Author(s) ListChen J., Xu Y., Zou J.
Journal nameJournal of Computational Physics
Volume Number229
Issue Number7
PublisherAcademic Press
Place of PublicationUnited States
Pages2649 - 2658
LanguagesEnglish-United Kingdom
KeywordsA posterior error estimates, Adaptive inverse iteration, Edge elements, Maxwell eigenvalue problem

Last updated on 2021-21-10 at 23:52