天元名家讲座|Energy-stable parametric finite element methods (PFEM) for geometric PDEs and applications
报 告 人： Professor Weizhu Bao
所在单位： National University of Singapore
报告地点： Zoom
报告时间： 2021-10-22 08:30:00
报告简介：

Zoom ID：203 271 7634

密码：202107

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 Wei Jiang, Yifei Li, Yan Wang and Quan Zhao.
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主讲人简介：
Professor Weizhu BAO is currently a Professor at Department of Mathematics and Vice Dean for Graduate Studies and Academic Affair 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 had been on the Editorial Board of SIAM Journal on Scientific Computing during 2009--2014. 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 the Invited Speaker at the International Congress of Mathematicians (ICM) in 2014.