Buyang Li

Professor and RGC Research Fellow
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Hong Kong
Email address:

Curriculum Vitae

Research Interests     Publication     Research Group     PhD, Postdoc and Visiting Scholar Positions

  • Numerical methods and analysis for partial differential equations, including
  • Surface evolution under geometric flows, geometric evolution equations, PDEs on surfaces ← click here
    1. A new approach to the analysis of parametric finite element approximations to mean curvature flow (PDF)
    2. New artificial tangential motions for parametric finite element approximation of surface evolution (PDF)
    3. A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field (PDF)
    4. Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow (PDF)
    5. Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces (PDF)
    6. Convergence of Dziuk's linearly implicit parametric finite element method for curve shortening flow (PDF)
    7. A convergent evolving finite element algorithm for Willmore flow of closed surfaces (PDF)
    8. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces (PDF)

    9. Convergence of finite elements on an evolving surface driven by diffusion on the surface (PDF)

    10. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems (PDF)

      Mean curvature flow:

      Willmore flow:

      Surface diffusion:

  • Low-regularity approximation to nonlinear dispersive equations
  • Incompressible Navier–Stokes equations
  • Semilinear parabolic equations and phase field equation
  • Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
  • Maximal Lp-regularity of time discretization methods for parabolic equations
  • Maximum-norm stability and maximal Lp-regularity of finite element methods
  • High-order approximation of singular solutions of fractional evolution equations
  • Dynamic Ginzburg–Landau superconductivity equations in nonsmooth domains
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity (PDF)
  • Editorial boards

  • Mathematics of Computation:                 2022.2 –– present

  • SIAM Journal on Numerical Analysis:   2022.1 –– present

    Plenary speakers in conferences

  • Plenary Speaker, “30th Biennial Numerical Analysis Conference”, Glasgow, UK, 24–27 June 2025.

  • Plenary Speaker,“Free Boundary Problems: Theory & Applications”, João Pessoa, Brazil, 26–30 August 2024.

  • Plenary Speaker, “Frontiers in Applied Mathematics”, City University of Hong Kong, Hong Kong, 22–23 August 2024.

  •      (for the celebration of 30th anniversary of CityU)

  • Plenary Speaker, “2024 International Congress of Basic Science”, Beijing, 14­–26 July 2024.

  •      (Organizers: Caucher Birkar, Nicolai Reshitikhin, Shing-­Tung Yau)

    Awards and Fellowships

  • President's Award for Outstanding Achievement 2023 (Hong Kong PolyU).

  • RGC Research Fellow Award 2023 (Hong Kong Research Grants Council).

  • The Hong Kong Mathematical Society Young Scholars Award 2022.

  • Departmental Best Paper Award 2022 (Department of Applied Mathematics, Hong Kong PolyU).

  • Alexander von Humboldt Research Fellowship, 2015-2016.

  • Best Paper Award for Young Scholars 2013, The Chinese Society for Computational Mathematics