Buyang Li   李步扬

Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong
Office: Room TU810, Yip Kit Chuen Building
Email: buyang.li@polyu.edu.hk
Phone: (+852) 3400 3416

Education

  • PhD, City University of Hong Kong, 2012.

  • Research Interests

  • Numerical methods for PDEs, stability and convergence of numerical solutions
  • PDEs on surfaces, surface evolution under mean curvature flow and Willmore (elastic) flow
  • Incompressible Navier-Stokes equations
  • Energy diminishing methods for gradient flow of phase field models
  • Maximal $L^p$-regularity of time discretization methods
  • Analyticity, maximum-norm stability, and maximal $L^p$-regularity of finite element solutions to parabolic equations
  • Artificial boundary conditions/boundary integral equations for wave propagation in an unbounded domain
  • Dirichlet boundary control of parabolic equations
  • Fast preconditioned iterative method for optimal control of wave problems
  • High-order approximation of fractional evolution equations
  • Dynamic Ginzburg-Landau superconductivity equations in nonsmooth domains
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity)
  • Modelling and computation of sweat transport in porous textile materials

  • Well-posedness of nonlinear PDEs
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity)
  • Heat and moisture transport in fibrous media

  • Plenary/Main speaker in

  • 第十六届全国微分方程数值方法暨第十三届全国仿真算法学术会议, 山东曲阜, 9-11 August 2019
  • The 3rd Workshop on Numerical Methods for Fractional Derivative Problems, Beijing Computational Science Research Center, 26-27 April 2019

  • Publications