Distinguished Colloquium——High-order Unfitted Finite Element Methods for Elliptic and Maxwell Interface Problems
报告人：Zhiming Chen (Academy of Mathematics and System Science, Chinese Academy of Sciences)
时间：2021-11-12 15:00-16:00
地点：Room 1114, Sciences Building No. 1
Abstract: Numerical solutions of partial differential equations whose coefficients are discontinuous along some interface with complex geometry are challenging in practical applications. In this talk we first develop an adaptive high-order unfitted finite element method based on an hp-reliable and efficient residual type a posteriori error estimate on Cartisian K-meshes for elliptic interface problems. The crucial ingredient is a novel hp-domain inverse estimates which allow us to prove the stability of the finite element method under practical interface resolving mesh conditions and prove the lower bound of the a posteriori error estimate. The proposed high-order unfitted finite element method is then extended to three dimensional time-harmonic electromagnetic interface problems. This talk is based on joint works with Ke Li and Xueshuang Xiang.
报告人简介：陈志明，中国科公司数学与系统科学研究院研究员。主要从事数值分析和科学计算的研究。2001年获冯康科学计算奖，2009年获国家自然科学二等奖，2015年获中国数学会陈省身数学奖。2006年在国际数学家大会上做邀请报告。2017年当选中国科公司院士。
讲座回放（Only for PKU ID）观看链接：
http://media.lib.pku.edu.cn/index.php?m=content&c=index&a=show&catid=33&id=8325
