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Buyang Li

Professor and RGC Research Fellow
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Hong Kong
Email address: buyang.li@polyu.edu.hk
https://orcid.org/0000-0001-7566-3464

Curriculum Vitae

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

  • Numerical methods and analysis for partial differential equations, including

    1. A new approach to the analysis of parametric finite element approximations to mean curvature flow (PDF)

    2. Convergence of a stabilized parametric finite element method of the Barrett-Garcke-Nürnberg type for curve shortening flow (PDF)

    3. Geometric-structure preserving methods for surface evolution in curvature flows with minimal deformation formulations (PDF)

    4. New artificial tangential motions for parametric finite element approximation of surface evolution (PDF)

    5. A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field (PDF)

    6. Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow (PDF)

    7. Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces (PDF)

    8. Convergence of Dziuk's linearly implicit parametric finite element method for curve shortening flow (PDF)

    9. A convergent evolving finite element algorithm for Willmore flow of closed surfaces (PDF)

    10. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces (PDF)

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

    12. 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:

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