Numerical Analysis of Variational and Hemivariational Inequalities with Applications
近年来，关于变分与半变分不等式数学理论与数值方法的研究取得了重大进展，并在诸多领域得到了广泛应用。受西安交通大学数学与统计学院邀请，美国爱荷华大学韩渭敏教授将以“变分与半变分不等式问题的数值分析与应用”为题，面向青年学者及研究生开设系列学术讲座，介绍此领域的最新学术成果及未来研究方向。本系列讲座将聚焦变分与半变分不等式数学理论与数值方法的最新进展及其在科学与工程中的应用，内容包括：（1）泛函分析的基本结果、函数空间、边值问题的弱形式；（2）接触力学中变分与半变分不等式简介；（3）变分与半变分不等式的适定性分析；（4）变分与半变分不等式问题的数值分析；（5）未来研究课题。
韩渭敏教授，于1991年在美国马里兰大学获得博士学位，现为美国爱荷华大学数学系教授，Collegiate Fellow, 应用数学与计算科学交叉学科主任。韩教授长期从事偏微分方程数值解的研究与应用工作，是变分不等式数值分析、医学生物成像反问题等领域的权威专家，已发表170多篇学术论文，13本专著。
讲座时间：2019年6月11日－14日，早上 9:00 － 12:00
讲座地点：西安交通大学 数学楼 2-2 会议室
讲座题目：Numerical Analysis of Variational and Hemivariational Inequalities with Applications
讲座摘要:
Inequality problems in mechanics can be divided into two main categories: that of variational inequalities concerned with convex energy functionals (potentials), and that of hemivariational inequalities 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. Hemivariational inequalities have been shown to be very useful across a wide variety of subjects, ranging from nonsmooth mechanics, physics, engineering, to economics. This series of lectures will cover the following topics:
(1) basic notions and results on functional analysis, function spaces, and weak formulations of boundary value problems; (2) a brief introduction of variational and hemivariational inequalities arising in contact mechanics; (3) a review of well-posedness results of sample variational and hemivariational inequalities; (4) numerical analysis of variational and hemivariational inequalities: description of numerical methods, convergence analysis, error estimation; (5) discussion of future research topics.
我们将为报名参加本学术讲座的听众提供讲义资料。
报名截止日期：2019年6月5日。
联系人：王飞，联系方式：feiwang.xjtu@xjtu.edu.cn
