Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 555–564
Abstract
The classical eigenvalue problem of the second-order elliptic operator is approximated with bi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the $O(h^8|\ln h|^2)$ ultraconvergence of eigenvalue approximation is obtained. Numerical experiments verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1203-m3977
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 555–564
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Finite element method Eigenvalue recovery Ultraconvergence
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Superconvergent Two-Grid Methods for Elliptic Eigenvalue Problems
Guo, Hailong
Zhang, Zhimin
Zhao, Ren
Journal of Scientific Computing, Vol. 70 (2017), Iss. 1 P.125
https://doi.org/10.1007/s10915-016-0245-2 [Citations: 14]