Studies on Wilson Nonconforming Finite Element

Prof. Zhong-Ci Shi

Academician of Chinese Academy of Sciences
Professor of Mathematics, Institute of Computational Mathematics

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

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 long-standing folklore: why Wilson element does a better job in many practical applications than the bilinear element.

All are welcome
For enquires please contact Ms. Candy Li, 3411 5056.