报告题目：Evolving Finite Element Methods with An Artificial Tangential Velocity for Mean Curvature Flow and Willmore Flow

报告时间：2023-01-18  15:00 - 16:30

报告人：Prof.Buyang Li   The Hong Kong Polytechnic University

腾讯会议ID：345 773 4983

报告链接：https://meeting.tencent.com/p/3457734983

Abstract：An artificial tangential velocity is introduced into the evolving finite element methods for mean curvature flow and Willmore flow proposed by Kovács, Li & Lubich to improve the mesh quality in the computation. The artificial tangential velocity is constructed by considering a limiting situation in the method proposed by Barrett, Garcke & Nürnberg. The stability of the artificial tangential velocity is proved. The optimal-order convergence of the evolving finite element methods with artificial tangential velocity are proved for both mean curvature flow and Willmore flow. Extensive numerical experiments are presented to illustrate the convergence of the method and the performance in improving the mesh quality.