TY - JOUR
T1 - Some $n$-Rectangle Nonconforming Elements for Fourth Order Elliptic Equations
AU - Ming Wang, Zhong-Ci Shi & Jinchao Xu
JO - Journal of Computational Mathematics
VL - 4
SP - 408
EP - 420
PY - 2007
DA - 2007/08
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10349.html
KW - Nonconforming finite element, Fourth order elliptic equation, Biharmonic.
AB - <p style="text-align: justify;">In this paper, three $n$-rectangle nonconforming elements are proposed with $n\ge3$. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in $n$ dimensions.</p>