报告题目:Hemivariational Inequalities: Modeling, Analysis and Numerical Solution
报告时间:7月3日下午3:30
报告地点:格物楼503
报告摘要:Hemivariational inequalities (HVIs) and variational inequalities (VIs) are closely related. In the context
of applications in mechanics, VIs are concerned with convex energy functionals, whereas HVIs are concerned with
nonsmooth and nonconvex energy functionals. The notion of HVI was first introduced by Panagiotopoulos in early 1980s.
During the last three decades, HVIs were shown to be very useful across a wide variety of subjects, ranging from
nonsmooth mechanics, physics, engineering, to economics. This talk is devoted to the modeling of some contact problems
as HVIs, well-posedness results and numerical analysis of the HVIs. The problems are nonsmooth and non-convex, and are
a rich source of challenging issues for mathematical analysis and numerical solution.
报告人简介:Professor Weimin Han received his B.S. degree from Fudan University in 1983, his M.S. degree from the
Chinese Academy of Sciences in 1986, and his Ph.D.degree from the University of Maryland in 1991. Since 1991, he
has been on the faculty at the University of Iowa, where he was tenured in 1996 and was promoted to Full Professor
in 1999. He was an Associate Chair of the Math Department from 2005 to 2007. Since 2007, he has been the Director
of the Interdisciplinary Program in Applied Mathematical and Computational Sciences (AMCS). His research areas are
numerical analysis and interdisciplinary applied mathematics. His current research interests include analysis and
numerical solution of variational inequalities, hemivariational inequalities, and biomedical imaging. He has published
over 130 journal papers, as well as 12 research monographs and textbooks. Professor Han was honored in 2010 with the
designation of Collegiate Fellow for his records of sustained productivity and distinction.