@Article{JCM-30-5, author = {}, 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 = {https://global-sci.com/article/84741/the-ultraconvergence-of-eigenvalues-for-bi-quadratic-finite-elements} }