TY - JOUR
T1 - On the Anisotropic Accuracy Analysis of ACM's Nonconforming Finite Element
AU - Dong-Yang Shi, Shi-Peng Mao & Shao-Chun Chen
JO - Journal of Computational Mathematics
VL - 6
SP - 635
EP - 646
PY - 2005
DA - 2005/12
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8843.html
KW - Superconvergence, Nonconforming finite element, Anisotropic interpolation error, Consistency error.
AB - <p style="text-align: justify;">The main aim of this paper is to study the superconvergence accuracy analysis of the famous ACM&#39;s nonconforming finite element for biharmonic equation under anisotropic meshes. By using some novel approaches and techniques, the optimal anisotropic interpolation error and consistency error estimates are obtained. The global error is of order $O(h^2)$. Lastly, some numerical tests are presented to verify the theoretical analysis. &nbsp;</p>