单位：美国Iowa大学

题目：(1) Variational and Hemivariational Inequalities in Mechanics

    (2) Numerical Analysis of Hemivariational Inequalities

摘要：

  Inequality problems in mechanics can be divided into two main categories: that of variational inequalities which is concerned with nonsmooth and convex functionals (potentials), and that of hemivariational inequalities which is concerned with nonsmooth and nonconvex functionals (superpotentials). Mathematical studies of variational inequalities started in the sixties, whereas that of hemivariational inequalities are more recent. Through the formulation of hemivariational inequalities, problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully. In this talk, sample variational and hemivariational inequalities in contact mechanics are introduced and studied. The focus will be on recent and new results on the numerical solution of hemivariational inequalities. Numerical examples will be reported to illustrate the numerical evidence of the theoretically predicted optimal convergence orders.

报告时间：2018年6月22日下午2：00，2018年6月26日下午3：00

地点：下沙校区教学D楼204室

报告人简介：

  Weimin Han received his Ph.D. degree in mathematics from the University of Maryland, College Park, MD, USA, in 1991. He has been a faculty member at the Department of Mathematics, University of Iowa, since 1991, and became a Full Professor there in 1999. Currently, he is the Director of the Interdisciplinary Program in Applied Mathematical and Computational Sciences (AMCS) of the University of Iowa, https://www.amcs.uiowa.edu/. He has published 13 books and over 160 papers. His research interests include numerical analysis, numerical solution of variational inequalities, numerical solution of hemivariational inequalities, computational mechanics, and computational engineering.