Virtual element methods for elliptic variational inequalities of the second kind

主讲人：黄建国 上海交通大学数学科学学院 教授

时间：2019年4月12日15：30

地点：3号楼332室

举办单位：数理学院

主讲人介绍：上海交通大学数学系教授，博士生导师。中国计算数学协会理事，国际学术刊Journal of Applied Mathematics and  Statistics编委。2006年获教育部新世纪优秀人才称号。长期从事科学计算与数学建模的教学科研工作。受学校选派于2002年赴宁夏大学数学与计算机学院承担《数学建模》重点课程的师资培训工作和课程教学任务，受到*****表彰。参加国家教学名师乐经良教授等主编的面向二十一世纪教材《数学实验》的编写工作，2005年获上海交大思源优秀教师一等奖，所指导团队多次获得全国和美国数学建模竞赛一等奖，指导的博士生论文获2011年上海市优秀博士学位论文。先后5次主持国家自然科学基金项目（在研2项），参加973项目和上海市重点项目各1项。

内容介绍：In this talk, we are concerned with virtual element methods for solving elliptic  variational inequalities (EVIs) of the second kind. First, a general framework  is offered for the numerical solution of the EVIs and for its error analysis.  Then, two virtual element methods are applied to solve two representative EVIs:  a simplified friction problem and a frictional contact problem, respectively.  Optimal order error estimates are derived for the virtual element solutions of  the two EVIs, including the effects of numerical integration for the non-smooth  term in the EVIs. A fast solver is introduced to solve the discrete problems.  Several numerical examples are included to show the numerical performance of the  proposed methods. This is a joint work with Fang Feng from Shanghai Jiao Tong  University and Weimin Han from University of Iowa.