Speaker: Prof. Buyang Li (李步扬教授)

Time: 12:10-13:10, 20 October 2023 (Friday) (Beijing time)

Venue: C305,Lijiao Building

Tencent Meeting ID: 926-499-243

Abstract

A novel evolving surface finite element method, based on a novel equivalent formulation of the continuous problem, is proposed for computing the evolution of a surface in two- and three-dimensional spaces. The method introduces an artificial tangential motion to improve the mesh quality of the approximate surface by minimizing the rate of tangential deformation. Optimal-order convergence of the finite element approximations to the surface evolution is proved. Numerical examples are provided to illustrate the effectiveness of the proposed method in improving mesh quality of the evolving surfaces.

About Prof. Li

Prof. Buyang Li received his PhD from the City University of Hong Kong in 2012. He has been engaged in teaching and scientific research at Nanjing University and University of Tübingen (Germany), and is currently a professor in Department of Applied Mathematics at The Hong Kong Polytechnic University. His research areas are mainly scientific computing and numerical analysis of partial differential equations, including parametric finite element method and its analysis for geometric curvature flow, numerical approximation to rough solutions of nonlinear dispersion and wave equations, numerical solution of incompressible Navier–Stokes equations, PML methods for the Helmholtz equation, nonlinear parabolic and phase-field equations, fractional partial differential equations, and so on. He received the Hong Kong Mathematical Society Young Scholars Award in 2022, the Hong Kong Research Grants Council Research Fellow Award in 2023, and is a member of editorial boards for Mathematics of Computation, SIAM Journal on Numerical Analysis, IMA Journal of Numerical Analysis, and some other journals.