文章基本信息

标题：Deflation Technique to Accelerate the Convergence of Iterative Solver for the Wave Scattering Problem
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作者：A. H. Sheikh ; A. G. Shaikh ; Hisamuddin 等
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2019
卷号：2241
页码：415-419
出版社：Newswood and International Association of Engineers
摘要：An iterative solution method for the discrete high wavenumber Helmholtz equation is presented. The basic idea for solution, already presented in [1], is to develop a preconditioner which is based on a Helmholtz operator with a complexvalued shift for a Krylov subspace iterative method. The preconditioner which can be seen as a strongly damped wave equation in Fourier space, can be approximately inverted by a multigrid method. Extensive deflation and spectral analysis, as Krylov subspace methods depends upon eigenvalues, highlights in this paper. Findings in analysis are validated by numerical results.
关键词：Helmholtz equation; Multigrid Method; Preconditioning; Sparse linear systems; Deflation preconditioner;