应002资讯网赵景军教授的邀请,新疆大学数学与系统科学学院冯新龙教授来访并做学术报告,欢迎感兴趣的师生参加。
报告题目:Adaptive streamline diffusion FEM for convection-diffusion-reaction equation on surfaces
主讲人:冯新龙教授
工作单位:新疆大学数学与系统科学学院
报告时间:2019年8月1日16:30-17:30
报告地点:明德楼B区201报告厅
摘要:In this work, an adaptive streamline diffusion surface FEM is proposed and analyzed for surface convection-diffusion-reaction PDEs, which is a fundamental subproblem in many models for simulating substances transport on ultra-thin material and solid surfaces. One of novel ideas of this paper is to use the streamline diffusion FEM combining a gradient recovery-based adaptive strategy to overcome the stability issue due to the dominance of the advection for conventional FEMs. The proposed method can efficiently capture the large variations of the solution with few degree of freedoms or reduces non-physical oscillations. Moreover the theoretical analysis results are shown. Various numerical examples including the comparisons between the new method and the surface FEM, problems with discontinuous sources and internal boundaries on various surfaces, are presented to demonstrate the efficacy and accuracy of the proposed method.
报告人简介:冯新龙,新疆大学数学与系统科学学院教授,博士生导师。先后在韩国首尔国立大学、香港浸会大学、巴西巴拉那联邦大学、加拿大阿尔伯塔大学从事博士后研究工作和短期访问。拥有中国准精算团队格,曾担任中国核学会计算物理学会理事、中国计算数学学会理事。目前,担任中国数学会理事。曾荣获教育部高等院校青年教师奖、自治区科学技术进步奖以及新疆青年科技奖。曾入选教育部新世纪优秀人才支持计划、自治区杰出青年科技创新人才培养人选。先后主持完成10余项国家级、省部级科研项目,已合作发表SCI论文150余篇。