2018年11月23日下午,南京师范大学课程与教学研究所所长、博士生导师喻平教授在我院报告厅作了题为“数学教育实证研究的选题与设计”的学术报告。报告由院长刘宏伟主持,我校数学教育研究团队的相关老师及相关专业的部分博士生、硕士生、访问学者50余人参加了本次报告。

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数苑讲座之七:Energy-stable parametric finite element methods (PFEM) for geometric PDEs and applications

发布时间:2022-08-23 作者: 浏览次数:
Speaker 包维柱 DateTime ​博雅讲座时间: 8月25日(周四)下午15:0-16:00. 线上报告
Place 腾讯会议:979-653-545 Abstract In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow, surface diffusion flow, Willmore flow, etc., which arise from materials science, interface dynamics in multi-phase flows, biology membrane, computer graphics, geometry, etc. Different mathematical formulations and numerical methods for mean curvature flow are then discussed. In particular, an energy-stable semi-implicit parametric finite element method (PFEM) is presented in details. Then the PFEM is extended to surface diffusion flow and anisotropic surface diffusion flow, and a structure-preserving implicit PFEM is proposed. Finally, sharp interface models and their PFEM approximations are presented for solid-state dewetting. This talk is based on joint works with Harald Garcke, Wei Jiang, Yifei Li, Robert Nuernberg, Yan Wang and Quan Zhao.

主办单位:云顶4008手机版 数学物理湖北省重点实验室

讲座题目:Energy-stable parametric finite element methods (PFEM) for geometric PDEs and applications

专家简介:包维柱教授,新加坡国立大学理学院副院长,新加坡科学院院士,工业与应用数学学会会士,美国数学会会士,国际数学家大会邀请报告人,获得冯康科学计算奖。Professor Weizhu Bao is a Professor at Department of Mathematics and Vice Dean for Graduate Studies and Academic Affairs of Faculty of Science (FoS), National University of Singapore (NUS). He got his PhD from Tsinghua University in 1995 and afterwards he had postdoc and faculty positions at Tsinghua University, Imperial College in UK, Georgia Institute of Technology and University of Wisconsin at Madison in USA. He joined NUS as an Assistant Professor in 2000 and was promoted to Professor in 2009. He had been appointed as the Provost’s Chair Professorship at NUS during 2013-2016. His research interests include numerical methods for partial differential equations, scientific computing/numerical analysis, analysis and computation for problems from physics, chemistry, biology and engineering sciences. He has made significant contributions in modeling and simulation of Bose-Einstein condensation, solid-state dewetting; and in multiscale methods and analysis for highly oscillatory PDEs. He had been on the Editorial Board of SIAM Journal on Scientific Computing during 2009-2014 and is currently on the Editorial Board of SIAM Journal on Numerical Analysis. He was awarded the Feng Kang Prize in Scientific Computing by the Chinese Computational Mathematics Society in 2013. He has been invited to give plenary and/or invited talks in many international conferences including an Invited Speaker at the International Congress of Mathematicians (ICM) in 2014. He was elected a Fellow of the American Mathematical Society (AMS Fellow), a Fellow of the Society of Industrial and Applied Mathematics (SIAM Fellow) and a Fellow of the Singapore National Academy of Science (SNAS Fellow) in 2022.


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