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Biography

  • Associate Professor in Department of Applied Mathematics at The Hong Kong Polytechnic University
  • Research focuses on the development of efficient computational methods for nonlinear partial differential equations in physical, engineering and geometric models, with rigorous analysis for the stability and convergence of the numerical approximations
  • RFS project - to develop new algorithms and analysis to address some long-standing mathematical questions concerning the stability and convergence of parameteric finite element methods for approximating curvature-driven surface and interface evolution in geometric flow and two-phase fluid flow (such as bubbles in liquids)
  • Awards and Honours:
    • RGC Research Fellow (2023)
    • The Hong Kong Mathematical Society Young Scholars Award (2022)
    • Alexander von Humboldt Research Fellowship (2015)

Project Title

  • Challenges, Numerical Analysis, and New Computational Methods for Curvature-driven Surface Evolutions and Related Problems

Award Citation

Dr. Li's research focuses on developing new algorithms and analysis for cutting-edge problems in computational mathematics. He was awarded RGC Research Fellowship in 2023 and "Hong Kong Mathematical Society Young Scholar Award" in 2022, which are recognizations of his excellence and significant contributions to the field of computational mathematics.

 

His RGC Research Fellow project aims to develop new algorithms and analysis to address some long-standing mathematical questions concerning the stability and convergence of parameteric finite element methods for approximating curvature-driven surface and interface evolution in geometric flow and two-phase fluid flow (such as bubbles in liquids). The research is expected to yield new understanding of the foundational algorithms for curvature-driven surface evolution, as well as new methods that can improve the accuracy, stability, and mesh quality of numerical approximations.