@Article{NM-15-180,
author = {S. Chen, H. Sun and S. Mao},
title = {Anisotropic superconvergence analysis for the Wilson nonconforming element},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2006},
volume = {15},
number = {2},
pages = {180--192},
abstract = {
 The regular condition (there exists a
constant $c$ independent of the  element $K$ and the mesh such
that $h_K/\rho_K\leq c$, where $h_K$ and $\rho_K$ are diameters of
$K$ and  the biggest ball contained in $K$, respectively) or the
quasi-uniform condition is a basic assumption in the analysis of
classical finite elements. In this paper, the supercloseness for
consistency error and the superconvergence estimate at the central
point of the element for the Wilson nonconforming element
in solving second-order elliptic boundary value problem are given
without the above assumption on the meshes. Furthermore the global
superconvergence for the Wilson nonconforming element is obtained
under the anisotropic meshes. Lastly, a numerical test is carried
out which confirms our theoretical analysis.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8026.html}
}