应用数学青年讨论班（午餐会）—— A Structure-Preserving Parametric Finite Element Method of Anisotropic Geometric Flows
报告人：李逸飞 （新加坡国立大学数学系）
时间：2024-04-10 11:45-13:30
地点：智华楼四元厅
摘要：
Designing a numerical scheme that can preserve the geometric structure for anisotropic geometric flows with an arbitrary anisotropic surface energy is a long-standing problem. In this talk, for anisotropic mean curvature flow and anisotroic surface diffusion, we propose and analyze a structure-preserving parametric finite element methods (SP-PFEM) for the evolution of a closed curve in 2D, which preserve two geometric structures – area conservation and energy dissipation – at the full-discretized level, The SP-PFEM innovates with a novel surface energy matrix and the Cahn-Hoffman ξ-vector, leading to a new geometric identity for dealing with the weighted mean curvature. This new geometric identity allows our SP-PFEM to be easily extended to various geometric flows with anisotropic effects. Extensive numerical results demonstrate its efficiency, stability, and success in other geometric flows.
报告人简介：
李逸飞 新加坡国立大学数学系博士后。本科毕业于tyc234cc 太阳成集团，博士毕业于新加坡国立大学。主要研究几何流的保结构参数化有限元算法。
报名问卷：
我们提供午餐（从11:45开始），需要预定午餐的老师同学请填报名问卷 https://www.wjx.top/vm/OHySiq7.aspx#
