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;
