Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”
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- by Xiaozhe Hu and Xiaoliang Cheng PDF
- Math. Comp. 84 (2015), 2701-2704 Request permission
Abstract:
There is a gap in the proof of Theorem 3.3 in our paper named above. A careful estimate of the constant $C_{h}(\mu )$ in Lemma 3.1 is needed for the error estimates of the two-grid method to hold. In this erratum, we provide a corrected version of the proof.References
- Xiaozhe Hu and Xiaoliang Cheng, Acceleration of a two-grid method for eigenvalue problems, Math. Comp. 80 (2011), no. 275, 1287–1301. MR 2785459, DOI 10.1090/S0025-5718-2011-02458-0
- Yidu Yang and Hai Bi, Two-grid finite element discretization schemes based on shifted-inverse power method for elliptic eigenvalue problems, SIAM J. Numer. Anal. 49 (2011), no. 4, 1602–1624. MR 2831063, DOI 10.1137/100810241
Additional Information
- Xiaozhe Hu
- Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16803
- Address at time of publication: Department of Mathematics, Tufts University, Medford, Massachusetts 02155
- MR Author ID: 793307
- Email: xiaozhe.hu@tufts.edu
- Xiaoliang Cheng
- Affiliation: Department of Mathematics, Zhejiang University, Yuquan Campus, Hangzhou, 310027, People’s Republic of China
- Email: xiaoliangcheng@zju.edu.cn
- Received by editor(s): December 30, 2013
- Received by editor(s) in revised form: February 23, 2014, and May 4, 2014
- Published electronically: May 26, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Math. Comp. 84 (2015), 2701-2704
- MSC (2010): Primary 65N15, 65N25, 65N30, 65N55
- DOI: https://doi.org/10.1090/mcom/2967
- MathSciNet review: 3378844