Document

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. Weak maximum principle of finite element methods for parabolic equations in polygonal domains (PDF)
    2. Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. (PDF)
    3. Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh (PDF)
    4. Maximal regularity of multistep fully discrete finite element methods for parabolic equations (PDF)
    5. Analyticity, maximal regularity and maximum-norm stability of FEM for parabolic equations in nonconvex polyhedra (PDF)
    6. Maximal Lp error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients (PDF)
    7. Maximal Lp analysis of FEM for parabolic equations with nonsmooth coefficients in convex polyhedra (PDF)
    8. Maximum-norm stability and maximal Lp regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (PDF)

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