Year: 2020
Author: Qilong Zhai, Xiaozhe Hu, Ran Zhang
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 4 : pp. 606–623
Abstract
This paper proposes and analyzes a new weak Galerkin method for the eigenvalue problem by using the shifted-inverse power technique. A high order lower bound can be obtained at a relatively low cost via the proposed method. The error estimates for both eigenvalue and eigenfunction are provided and asymptotic lower bounds are shown as well under some conditions. Numerical examples are presented to validate the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1903-m2018-0101
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 4 : pp. 606–623
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: weak Galerkin finite element method eigenvalue problem shifted-inverse power method lower bound.