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 - <p style="text-align: justify;">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.</p>