题目:  Hemivariational Inequalities: Theory and Numerical Analysis

报告人:  Prof. Weimin Han,   University of Iowa, USA

Abstract:  Inequality problems in mechanics can be divided into two main classes: that of variational inequalities which is concerned with convex energy functionals(potentials), and that of hemivariational inequalities which is concerned with nonsmooth and nonconvex energy functionals (superpotentials).  Through the formulation of hemivariational inequalities, problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully.

The talk includes an introduction of the basic notions, ideas and results of the theory of hemivariational inequalities, and focuses on numerical analysis of hemivariational inequalities.  We present new results on convergence and error estimates for numerical solutions of hemivariational inequalities, with applications in solid mechanics as well as fluid mechanics.  Optimal order error estimates are derived for finite element solutions using the linear elements.  Numerical examples are shown on the performance of the numerical methods, including numerical convergence orders.

时间：2016年7月18日（周一） 14:50-16:00

地点：首都师大北一区文科楼707教室

欢迎教师和研究生积极参加！