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
Numerical methods and analysis for partial differential equations, including
Surface evolution under geometric flows, geometric evolution equations, PDEs on surfaces
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A new approach to the analysis of parametric finite element approximations to mean curvature flow
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New artificial tangential motions for parametric finite element approximation of surface evolution
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A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field
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Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
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Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces
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Convergence of Dziuk's linearly implicit parametric finite element method for curve shortening flow
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- A convergent evolving finite element algorithm for Willmore flow of closed surfaces
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A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
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- Convergence of finite elements on an evolving surface driven by diffusion on the surface
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- Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems
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Mean curvature flow:
Willmore flow:
Surface diffusion:
Low-regularity approximation to nonlinear dispersive equations
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Incompressible Navier–Stokes equations
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Semilinear parabolic equations and phase field equation
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Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
Maximal Lp-regularity of time discretization methods for parabolic equations
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Maximum-norm stability and maximal Lp-regularity of finite element methods
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High-order approximation of singular solutions of fractional evolution equations
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Dynamic Ginzburg–Landau superconductivity equations in nonsmooth domains
Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity
(PDF)
Numerische Mathematik:                      2024.5 –– present
IMA Journal of Numerical Analysis:      2023.2 –– present
Mathematics of Computation:               2022.2 –– present
SIAM Journal on Numerical Analysis:   2022.1 –– present