@Article{JCM-23-373, author = {}, 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 = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8823.html} }