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The Ultraconvergence of Eigenvalues for Bi-Quadratic Finite Elements
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@Article{JCM-30-555,
author = {Lingxiong Meng and Zhimin Zhang},
title = {The Ultraconvergence of Eigenvalues for Bi-Quadratic Finite Elements},
journal = {Journal of Computational Mathematics},
year = {2012},
volume = {30},
number = {5},
pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1203-m3977}, url = {http://global-sci.org/intro/article_detail/jcm/8450.html} }
TY - JOUR
T1 - The Ultraconvergence of Eigenvalues for Bi-Quadratic Finite Elements
AU - Lingxiong Meng & Zhimin Zhang
JO - Journal of Computational Mathematics
VL - 5
SP - 555
EP - 564
PY - 2012
DA - 2012/10
SN - 30
DO - http://doi.org/10.4208/jcm.1203-m3977
UR - https://global-sci.org/intro/article_detail/jcm/8450.html
KW - Finite element method, Eigenvalue recovery, Ultraconvergence
AB -
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.
Lingxiong Meng and Zhimin Zhang. (2012). The Ultraconvergence of Eigenvalues for Bi-Quadratic Finite Elements.
Journal of Computational Mathematics. 30 (5).
555-564.
doi:10.4208/jcm.1203-m3977
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