@Article{JCM-23-373,
author = {Dong-Yang Shi, Shao-Chun Chen and Ichiro Hagiwara},
title = {Convergence Analysis for a Nonconforming Membrane Element on Anisotropic Meshes},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {4},
pages = {373--382},
abstract = {<p style="text-align: justify;">Regular assumption of finite element meshes is a basic condition of most analysis of finite element approximations both for conventional conforming elements and nonconforming elements. The aim of this paper is to present a novel approach of dealing with the approximation of a four-degree nonconforming finite element for the second order elliptic problems on the anisotropic meshes. The optimal error estimates of energy norm and $L^{2}$-norm without the regular assumption or quasi-uniform assumption are obtained based on some new special features of this element discovered herein. Numerical results are given to demonstrate validity of our theoretical analysis.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8823.html}
}