A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem

Document Type

Article

Publication Date

1-2020

Department

Department of Mathematical Sciences

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 opti-mal 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.

Publication Title

Communications in Computational Physics

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