题目：Two-gird methods for semilinear elliptic interface problems by immersed finite element methods
报告人: 陈艳萍（华南师范大学）
时间: 7月2日上午10:00-11:00
地点: 数学院425
摘要：In this talk, three efficient two-grid algorithms are proposed and analyzed for semi-linear interface problems with discontinuous diffusion coefficients in two dimension. Because of the advantages of simple structure of Cartesian grids and the finite element formulation, we use immersed finite element discretization. To linearize the finite element method equations, two-grid algorithms based on some Newton iteration approach and residual-correction technique are applied. It is shown that the coarse space can be extremely coarse, and yet one can still achieve asymptotically optimal approximations as good as solving the original nonlinear problem on the fine mesh. As a result, solving such a large class of nonlinear equation will not be much more difficult than solving one linearized equation.
报告人简介：陈艳萍，华南师范大学二级教授、广东省计算数学学会副理事长（2016-2020）、中国工业与应用数学学会（CSIAM）油水资源数值方法专业委员会副主任。2008 年被聘为广东省高等学校珠江学者特聘教授，2005 年享受国务院颁发的政府特殊津贴，2004 年入选教育部首批新世纪优秀人才支持计划。2017 年获教育部自然科学二等奖（独立）、2012 年获广东省科学技术二等奖（排第一）。在国际一流学术期刊上发表了学术论著207 篇，并且2014 年至2017 年连续4 年入选爱思唯尔中国高被引学者榜单。自2001 年以来，连续主持6项国家自然科学基金面上项目和1 项国家自然科学基金重大研究计划培育项目。
