@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} }