一、题目

The weak Galerkin finite element method for elliptic eigenvalue problems

二、主讲人

张然

三、摘要

This talk is devoted to studying eigenvalue problem by the weak Galerkin (WG) finite element method with an emphasis on obtaining lower bounds. The WG method uses discontinuous polynomials on polygonal or polyhedral finite element partitions. As such it is more robust and flexible in solving eigenvalue problems since it finds eigenvalue as a min-max of Rayleigh quotient in a larger finite element space. We demonstrate that the WG methods can achieve arbitrary high order convergence. This is in contrast with classical nonconforming finite element methods which can only provide the lower bound approximation by linear elements with only the second order convergence. We also presented the guaranteed lower bound for k=1 order polynomials and some acceleration techniques are applied to WG method.

四、主讲人介绍

张然，理学博士、教授、博士生导师。现任吉林大学数学学院党委书记、院长兼公共数学中心主任，吉林国家应用数学中心主任，吉林省运筹学会理事长等职。主要从事非标准有限元方法及相关软件平台的开发等工作，在SIAM J Numer Anal、Math Comput、SIAM J Sci Comput等上发表学术论文60余篇。主持及完成基金委重大研究计划重点项目等7项国家级项目。获2021年中国青年女科学家奖、2020年中国青年科技奖、2019年中国数学会计算数学分会青年创新奖，入选宝钢教育优秀教师奖等奖励，国务院学科评议组成员。

五、邀请人

芮洪兴 数学学院教授

六、时间

11月24日（周三）15:00

七、地点

腾讯会议 ID：878 623 536 会议密码：211124

八、主办方

山东大学数学学院