Year: 2020
Author: Bo Gong, Jiayu Han, Jiguang Sun, Zhimin Zhang
Communications in Computational Physics, Vol. 27 (2020), Iss. 1 : pp. 251–273
Abstract
A shifted-inverse iteration is proposed for the finite element discretization of the elastic eigenvalue problem. The method integrates the multigrid scheme and adaptive algorithm to achieve high efficiency and accuracy. Error estimates and optimal convergence for the proposed method are proved. Numerical examples show that the proposed method inherits the advantages of both ingredients and can compute low regularity eigenfunctions effectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2018-0293
Communications in Computational Physics, Vol. 27 (2020), Iss. 1 : pp. 251–273
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Elastic eigenvalue problem shifted-inverse iteration adaptive multigrid method.