


Studies on Wilson Nonconforming Finite Element 


Prof. ZhongCi Shi
Academician of Chinese Academy of Sciences
Professor of Mathematics, Institute of Computational Mathematics



Date: 
Friday, 7 January 2011 
Time: 
11:00am 12:00pm (Preceded by Tea Reception at 10:30am) 
Venue: 
Lecture Theatre One, Cha ChiMing Science Tower,
Ho Sin Hang Campus, Hong Kong Baptist University



Abstract 

Wilson nonconforming finite element (1973) is a very useful rectangular element In
practice. it has been shown in many engineering applications that the convergence behavior
of this element is better than that of the commonly used bilinear element. However,
mathematical studies carried out so far cannot justify it. The results obtained by use of
standard finite element analysis technique are not satisfied.
Recently (2007—) we tackle this problem from a different view point, i.e. from
Mechanics, where the Wilson element was originated. We have succeeded in proving both
mathematically and numerically that the Wilson element is free of shear locking for a wide
class of bending dominated plane elasticity problems, while the bilinear element suffers
from the shear locking.
Therefore, we elucidate a longstanding folklore: why Wilson element does a better job in
many practical applications than the bilinear element.





