Buyang Li

Chair Professor of Computational Mathematics
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Hong Kong

Email address: buyang.li@polyu.edu.hk

Curriculum Vita

Research    Publications    Group    Openings

Research Interests

Numerical methods and analysis for partial differential equations, including:

• Surface evolution under geometric flows, geometric evolution equations, PDEs on surfaces
• Fluid-structure interaction and moving interface problems
• Low-regularity approximation to nonlinear dispersive equations
• Incompressible Navier–Stokes equations
• Nonlinear parabolic equations and phase field equation
• Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
• Maximal L^p-regularity of time discretization methods for parabolic equations
• Maximum-norm stability and maximal L^p-regularity of finite element methods
• High-order approximation of singular solutions of fractional evolution equations
• Time-dependent Ginzburg–Landau superconductivity equations in nonsmooth domains
• Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity)

Editorial Boards

• Interfaces & Free Boundaries

  2026.1 – present
• Numerische Mathematik

  2024.5 – present
• IMA Journal of Numerical Analysis

  2023.2 – present
• Mathematics of Computation

  2022.2 – present
• SIAM Journal on Numerical Analysiss

  2022.1 – present

Plenary Speakers in Conferences

• Plenary Speaker, Conference on Mathematics of Wave Phenomena 2027, Karlsruhe

  4–8 October 2027
• Plenary Speaker, Scientific Computing and Differential Equations (SciCADE) 2026, Edinburgh

  29 June – 3 July 2026
• Plenary Speaker, 2025 International Congress of Chinese Mathematicians (ICCM), Shanghai

  3–8 January 2026
• Plenary Speaker, 2025 International Congress of Basic Science, Beijing

  13–26 July 2025
• Plenary Speaker, 30th Biennial Numerical Analysis Conference, Glasgow

  24–27 June 2025
• Plenary Speaker, Free Boundary Problems: Theory & Applications, João Pessoa

  26–30 August 2024

Recognitions and Fellowships

• Distinguished Visiting Professor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

  2025
• NSFC Young Scientist Fund (Type A, 国家杰出青年科学基金项目)

  2025
• President's Award for Outstanding Achievement (Hong Kong PolyU, 校长特设杰出成就奖)

  2023
• Research Grants Council Research Fellow Award (香港研资局研究学者奖)

  2023
• Hong Kong Mathematical Society Young Scholars Award (香港数学会青年学者奖)

  2022
• Alexander von Humboldt Research Fellowship

  2015 – 2016
• Best Paper Award for Young Scholars, Chinese Society for Computational Mathematics (第十二届全国高校计算数学年会)

  2013

Publication

1. B. Li, Y. Wu and F. Yao: Second-order uniformly accurate method for the semiclassical nonlinear Schrödinger equation with initial data in H². Numer. Math. (2026).
2. G. Gao, B. Li and R. Tang: Convergent finite element approximations of surface evolution with relaxed minimal deformation. Numer. Math. (2026).
3. J. Cao, B. Li and K. Schratz: Computing rough solutions of the stochastic nonlinear wave equation. Math. Comp. (2026).
4. G. Gao, H. Garcke, B. Li and R. Tang: An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion. SIAM J. Sci. Comput. 48 (2026), pp. 1095–7197.
5. B. Li and Y. Wu: An unfiltered low-regularity integrator for the KdV equation with solutions below H¹. Found. Comput. Math. (2025).
6. G. Bai and B. Li: Convergence of a stabilized parametric finite element method of the Barrett-Garcke-Nürnberg type for curve shortening flow. Math. Comp. 94 (2025), pp. 2151–2220.
7. B. Li, S. Ma and W. Sun: Optimal analysis of finite element methods for the stochastic Stokes equations. Math. Comp. 94 (2025), pp. 551–583.
8. G. Bai, X. Gui and B. Li: Convergence of multistep projection methods for harmonic map heat flows into general surfaces. Numer. Math. 157 (2025), pp. 629–661.
9. G. Bai, D. Leykekhman and B. Li: Weak maximum principle of finite element methods for parabolic equations in polygonal domains. Numer. Math. 157 (2025), pp. 97–142.
10. B. Li and R. Tang: Dynamic Ritz projection of mean curvature flow and optimal L² convergence of parametric FEM. SIAM J. Numer. Anal. 63 (2025), pp. 1454–1481.
11. J. Cao, B. Li, Y. Lin and F. Yao: Numerical approximation of discontinuous solutions of the semilinear wave equation. SIAM J. Numer. Anal. 63 (2025), pp. 214–238.
12. Y. Gao, J. Hu and B. Li: A stabilized arbitrary Lagrangian-Eulerian sliding interface method for fluid-structure interaction with a rotating rigid structure. SIAM J. Sci. Comput. 47 (2025), pp. A2533–A2558.
13. G. Bai, B. Kovács and B. Li: Maximal regularity of evolving FEMs for parabolic equations on an evolving surface. IMA J. Numer. Anal. (2025).
14. B. Li, S. Ma and W. Qiu: Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension. IMA J. Numer. Anal. (2025).
15. G. Akrivis, B. Li, R. Tang and H. Zhang: High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation. J. Comput. Phys. (2025), article 113974.
16. G. Gao and B. Li: Geometric-structure preserving methods for surface evolution in curvature flows with minimal deformation formulations. J. Comput. Phys. (2025), article 113718.
17. G. Bai and B. Li: A new approach to the analysis of parametric finite element approximations to mean curvature flow. Found. Comput. Math. 24 (2024), pp. 1673–1737.
18. B. Li, Z. Yang and Z. Zhou: High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. Math. Comp. 93 (2024), pp. 2557–2586.
19. B. Li, W. Qiu, Y. Xie and W. Yu: Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. Math. Comp. 93 (2024), pp. 1–34.
20. G. Bai, J. Hu and B. Li: A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field. SIAM J. Numer. Anal. 62 (2024), pp. 2172–2195.
21. B. Li, W. Sun, Y. Xie and W. Yu: Optimal L² error analysis of a loosely coupled finite element scheme for thin-structure interactions. SIAM J. Numer. Anal. 62 (2024), pp. 1782–1813.
22. B. Duan and B. Li: New artificial tangential motions for parametric finite element approximation of surface evolution. SIAM J. Sci. Comput. 46 (2024), pp. A587–A608.
23. G. Bai, J. Hu and B. Li: High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation. SIAM J. Sci. Comput. 46 (2024), pp. A1026–A1046.
24. B. Li, H. Li and Z. Yang: Convergent finite element methods for the perfect conductivity problem with close-to-touching inclusions. IMA J. Numer. Anal. 44 (2024), pp. 3280–3312.
25. W. Gong, B. Li and Q. Rao: Convergent evolving finite element approximations of boundary evolution under shape gradient flow. IMA J. Numer. Anal. 44 (2024), pp. 2667–2697.
26. J. Cao, B. Li and Y. Lin: A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation. IMA J. Numer. Anal. 44 (2024), pp. 1313–1345.
27. X. Gui, B. Li and J. Wang: Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data. Sci. China Math. 67 (2024), pp. 2873–2898.
28. B. Li, J. Shen, Z. Yang and Y. Zhang: Efficient energy stable schemes for incompressible flows with variable density. J. Comput. Phys. 517 (2024), article 113365.
29. B. Li, Y. Li and Z. Yang: An optimized CIP-FEM to reduce the pollution errors for the Helmholtz equation on a general unstructured mesh. J. Comput. Phys. 511 (2024), article 113120.
30. B. Li, Y. Li and W. Zheng: A new perfectly matched layer method for the Helmholtz equation in nonconvex domains. SIAM J. Appl. Math. 83 (2023), pp. 666–694.
31. B. Li, Y. Lin, S. Ma and Q. Rao: An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. SIAM J. Numer. Anal. 61 (2023), pp. 2305–2326.
32. G. Bai and B. Li: Erratum: Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. SIAM J. Numer. Anal. 61 (2023), pp. 1609–1612.
33. B. Li, Y. Xia and Z. Yang: Optimal convergence of arbitrary Lagrangian–Eulerian iso-parametric finite element methods for parabolic equations in an evolving domain. IMA J. Numer. Anal. 43 (2023), pp. 501–534.
34. G. Bai, B. Li and Y. Wu: A constructive low-regularity integrator for the 1d cubic nonlinear Schrödinger equation under the Neumann boundary condition. IMA J. Numer. Anal. 43 (2023), pp. 3243–3281.
35. B. Kovács and B. Li: Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA J. Numer. Anal. 43 (2023), pp. 1937–1969.
36. B. Li, K. Schratz and F. Zivcovich: A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation. ESAIM: Math. Model. Numer. Anal. 57 (2023), pp. 899–919.
37. J. Hu and B. Li: Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow. Numer. Math. 152 (2022), pp. 127–181.
38. B. Li: Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh. Math. Comp. 91 (2022), pp. 1533–1585.
39. B. Li, S. Ma and K. Schratz: A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. SIAM J. Numer. Anal. 60 (2022), pp. 2273–2292.
40. B. Li and S. Ma: Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. SIAM J. Numer. Anal. 60 (2022), pp. 503–528.
41. X. Gui, B. Li and J. Wang: Convergence of renormalized finite element methods for heat flow of harmonic maps. SIAM J. Numer. Anal. 60 (2022), pp. 312–338.
42. B. Li: Maximal regularity of multistep fully discrete finite element methods for parabolic equations. IMA J. Numer. Anal. 42 (2022), pp. 1700–1734.
43. B. Li, S. Ma and Y. Ueda: Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. ESAIM: Math. Model. Numer. Anal. 56 (2022), pp. 2105–2139.
44. B. Duan, B. Li and Z. Yang: An energy diminishing arbitrary Lagrangian–Eulerian finite element method for two-phase Navier–Stokes flow. J. Comput. Phys. 461 (2022), article 111215.
45. M. D. Gunzburger, B. Li, J. Wang and Z. Yang: A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. J. Comput. Phys. 457 (2022), article 111067.
46. H. Hu, B. Li and J. Zou: Optimal convergence of the Newton iterative Crank–Nicolson finite element method for the nonlinear Schrödinger equation. Comput. Methods Appl. Math. 22 (2022), pp. 591–612.
47. W. Gong, B. Li and H. Yang: Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations. J. Sci. Comput. 92 (2022), article 91.
48. B. Li, W. Qiu and Z. Yang: A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. J. Sci. Comput. 91 (2022), article 2.
49. B. Kovács, B. Li and C. Lubich: A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numer. Math. 149 (2021), pp. 595–643.
50. B. Li and Y. Wu: A fully discrete low-regularity integrator for the 1d periodic cubic nonlinear Schrödinger equation. Numer. Math. 149 (2021), pp. 151–183.
51. B. Li: A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations. Numer. Math. 147 (2021), pp. 283–304.
52. B. Li: Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. SIAM J. Numer. Anal. 59 (2021), pp. 1592–1617.
53. G. Bai and B. Li: Erratum: Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. SINUM 61 (2023), pp. 1609–1612.
54. X. Feng, B. Li, S. Ma: High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 59 (2021), pp. 1566–1591.
55. G. Akrivis, B. Li and J. Wang: Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. SIAM J. Numer. Anal. 59 (2021), pp. 265–288.
56. D. Leykekhman and B. Li: Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comp. 90 (2021), pp. 1–18.
57. W. Jiang and B. Li: A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. J. Comput. Phys. 443 (2021), article 110531.
58. B. Li, H. Wang and J. Wang: Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. ESAIM: Math. Model. Numer. Anal. 55 (2021), pp. 171–207.
59. W. Cai, B. Li and Y. Li: Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. ESAIM: Math. Model. Numer. Anal. 55 (2021), pp. S103–S147.
60. B. Li, S. Ma and N. Wang: Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier-Stokes equations with H¹ initial data. J. Sci. Comput. 88 (2021), article 70.
61. B. Li and S. Ma: A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data. J. Sci. Comput. 87 (2021), article 23.
62. G. Akrivis and B. Li: Error estimates for fully discrete BDF finite element approximations of the Allen–Cahn equation. IMA J. Numer. Anal. (2020).
63. G. Akrivis and B. Li: Linearization of the finite element method for gradient flows by Newton’s method. IMA J. Numer. Anal. (2020).
64. B. Li, J. Yang and Z. Zhou: Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations. SIAM J. Sci. Comput. 42 (2020), pp. A3957–A3978.
65. B. Li, Y. Ueda and G. Zhou: A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems. SIAM J. Numer. Anal. 58 (2020), pp. 2736–2763.
66. B. Li: Convergence of Dziuk's linearly implicit parametric finite element method for curve shortening flow. SIAM J. Numer. Anal. 58 (2020), pp. 2315–2333.
67. B. Li, K. Wang and Z. Zhou: Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-selfadjoint operators. SIAM J. Numer. Anal. 58 (2020), pp. 189–210.
68. B. Li, J. Wang and L. Xu: A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains. SIAM J. Numer. Anal. 58 (2020), pp. 430–459.
69. B. Jin, B. Li and Z. Zhou: Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Numer. Math. 145 (2020), pp. 883–913.
70. W. Gong and B. Li: Improved error estimates for semi-discrete finite element solutions of parabolic Dirichlet boundary control problems. IMA J. Numer. Anal. 40 (2020), no. 4, 2898–2939.
71. B. Jin, B. Li and Z. Zhou: Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. IMA J. Numer. Anal. 40 (2020), pp. 377–404.
72. B. Kovács, B. Li and C. Lubich: A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries 22 (2020), pp. 443–464.
73. B. Li, K. Wang and Z. Zhang: A Hodge decomposition method for dynamic Ginzburg–Landau equations in nonsmooth domains -— a second approach. Commun. Comput. Phys. 28 (2020), pp. 768–802.
74. B. Li: An explicit formula for corner singularity expansion of the solutions to the Stokes equations in a polygon. Int. J. Numer. Anal. Modeling 17 (2020), pp. 900–928.
75. G. Akrivis, B. Li and D. Li: Energy-decaying extrapolated RK-SAV methods for the Allen-Cahn and Cahn-Hilliard equations. SIAM J. Sci. Comput. 41 (2019), pp. A3703–A3727.
76. B. Kovács, B. Li and C. Lubich: A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numer. Math. 143 (2019), pp. 797–853.
77. W. Cai, B. Li, Y. Lin and W. Sun: Analysis of fully discrete FEM for miscible displacement in porous media with Bear–Scheidegger diffusion tensor. Numer. Math. 141 (2019), pp. 1009–1042.
78. M. Gunzburger, B. Li and J. Wang: Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Numer. Math. 141 (2019), pp. 1043–1077.
79. M. Gunzburger, B. Li and J. Wang: Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Math. Comp. 88 (2019), pp. 1715–1741.
80. B. Jin, B. Li and Z. Zhou: Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Math. Comp. 88 (2019), pp. 2157–2186.
81. B. Li: Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra. Math. Comp. 88 (2019), pp. 1–44.
82. B. Li, J. Zhang and C. Zheng: Stability and error analysis for a second-order fast approximation of the one-dimensional Schrödinger equation under absorbing boundary conditions. SIAM J. Sci. Comput. 40 (2018), pp. A4083–A4104.
83. B. Li, J. Zhang and C. Zheng: An efficient second-order finite difference method for the one-dimensional Schrödinger equation with absorbing boundary conditions. SIAM J. Numer. Anal. 56 (2018), pp. 766–791.
84. M. Gunzburger, X. He and B. Li: On Stokes-Ritz projection and multi-step backward differentiation schemes in decoupling the Stokes-Darcy model. SIAM J. Numer. Anal. 56 (2018), pp. 397–427.
85. B. Jin, B. Li and Z. Zhou: Numerical analysis of nonlinear subdiffusion equations. SIAM J. Numer. Anal. 56 (2018), pp. 1–23.
86. W. Deng, B. Li, Z. Qian and H. Wang: Time discretization of the tempered fractional Feynman-Kac equation with measure data. SIAM J. Numer. Anal. 56 (2018), pp. 3249–3275.
87. W. Deng, B. Li, W. Tian and P. Zhang: Boundary problems for the fractional and tempered fractional operators. Multiscale Model. Simul. 16 (2018), pp. 125–149.
88. K. Du, B. Li, W. Sun and H. Yang: Electromagnetic scattering from a cavity embedded in an impedance ground plane. Math. Methods in Applied Sciences 41 (2018), pp. 7748–7765.
89. P. C. Kunstmann, B. Li and C. Lubich: Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Found. Comput. Math. 18 (2018), pp. 1109–1130.
90. G. Akrivis and B. Li: Maximum norm analysis of implicit-explicit backward difference formulae for nonlinear parabolic equations. IMA J. Numer. Anal. 38 (2018), pp. 75–101.
91. B. Jin, B. Li and Z. Zhou: An analysis of the Crank-Nicolson method for subdiffusion. IMA J. Numer. Anal. 38 (2018), pp. 518–541.
92. B. Jin, B. Li and Z. Zhou: Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Numer. Math. 138 (2018), pp. 101–131.
93. B. Jin, B. Li and Z. Zhou: Correction of high-order BDF convolution quadrature for fractional evolution equations. SIAM J. Sci. Comput. 39 (2017), pp. A3129–A3152.
94. B. Kovács, B. Li, C. Lubich and C. A. Power Guerra: Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numer. Math. 137 (2017), pp. 643–689.
95. B. Li, J. Liu and M. Xiao: A new multigrid method for unconstrained parabolic optimal control problems. J. Comput. Appl. Math. 326 (2017), pp. 358–373.
96. B. Li and W. Sun: Maximal L^p error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients. Int. J. Numer. Anal. & Modeling 14 (2017), pp. 670–687.
97. B. Li and W. Sun: Maximal regularity of fully discrete finite element solutions of parabolic equations. SIAM J. Numer. Anal. 55 (2017), pp. 521–542.
98. H. Gao, B. Li and W. Sun: Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. Numer. Math. 136 (2017), pp. 383–409.
99. G. Akrivis, B. Li and C. Lubich: Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comp. 86 (2017), pp. 1527–1552.
100. B. Li and Z. Zhang: Mathematical and numerical analysis of time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Math. Comp. 86 (2017), pp. 1579–1608.
101. B. Li and W. Sun: Maximal L^p analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Math. Comp. 86 (2017), pp. 1071–1102.
102. B. Li: Convergence of a decoupled mixed FEM for the dynamic Ginzburg–Landau equations in nonsmooth domains with incompatible initial data. Calcolo 54 (2017), pp. 1441–1480.
103. D. Leykekhman and B. Li: Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions. Calcolo 54 (2017), pp. 541–565.
104. B. Li and C. Yang: Global well-posedness of the time-dependent Ginzburg–Landau superconductivity model in curved polyhedra. J. Math. Anal. Appl. 451 (2017), pp. 102–116.
105. B. Kovács, B. Li and C. Lubich: A-stable time discretizations preserve maximal parabolic regularity. SIAM J. Numer. Anal. 54 (2016), pp. 3600–3624.
106. B. Li and C. Yang: Uniform BMO estimate of parabolic equations and global wellposedness of the thermistor problem. Forum of Mathematics, Sigma 3 (2015), e26.
107. B. Li, J. Liu and M. Xiao: A fast and stable preconditioned iterative method for optimal control problem of wave equations. SIAM J. Sci. Comput. 37 (2015), pp. A2508–A2534.
108. B. Li: Maximum-norm stability and maximal L^p regularity of FEMs for parabolic equations with Lipschitz continuous coefficients. Numer. Math. 131 (2015), pp. 489–516.
109. B. Li and W. Sun: Regularity of the diffusion-dispersion tensor and error analysis of FEMs for a porous media flow. SIAM J. Numer. Anal. 53 (2015), pp. 1418–1437.
110. B. Li and Z. Zhang: A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. J. Comput. Phys. 303 (2015), pp. 238–250.
111. K. Du, B. Li, W. Sun: A numerical study on the stability of a class of Helmholtz problems. J. Comput. Phys. 287 (2015), pp. 46–59.
112. B. Li and W. Sun: Linearized FE approximations to a nonlinear gradient flow (corrected version after publication, see page 11). SIAM J. Numer. Anal. 52 (2014), pp. 2623–2646.
113. H. Gao, B. Li and W. Sun: Optimal error estimates of linearized Crank-Nicolson Galerkin FEMs for the time-dependent Ginzburg-Landau equations in superconductivity. SIAM J. Numer. Anal. 52 (2014), pp. 1183–1202.
114. H. Gao, B. Li and W. Sun: Unconditionally optimal error estimates of a Crank-Nicolson Galerkin method for the nonlinear thermistor equations. SIAM J. Numer. Anal. 52 (2014), pp. 933–954.
115. B. Li, J. Wang and W. Sun: The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows. Commun. Comput. Phys. 15 (2014), pp. 1141–1158.
116. B. Li and W. Sun: Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media. SIAM J. Numer. Anal. 51 (2013), pp. 1959–1977.
117. B. Li and W. Sun: Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Int. J. Numer. Anal. & Modeling 10 (2013), pp. 622–633.
118. Y. Hou, B. Li and W. Sun: Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. SIAM J. Numer. Anal. 51 (2013), pp. 88–111.
119. B. Li and W. Sun: Numerical analysis of heat and moisture transport with a finite difference method. Numerical Methods for PDEs 29 (2013), pp. 226–250.
120. B. Li and W. Sun: Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption. SIAM J. Math. Anal. 44 (2012), pp. 1448–1473.
121. B. Li and W. Sun: Heat-sweat flow in three-dimensional porous textile media. Nonlinearity 25 (2012), pp. 421–447.
122. Q. Zhang, B. Li and W. Sun: Heat and sweat transport through clothing assemblies with phase changes, condensation/evaporation and absorption. Proc. Royal Society A 467 (2011), pp. 3469–3489.
123. C. Ye, B. Li and W. Sun: Quasi-steady-state and steady-state models for heat and moisture transport in textile assemblies. Proc. Royal Society A 466 (2010), pp. 2875–2896.
124. B. Li and W. Sun: Global existence of weak solution for nonisothermal multicomponent flow in porous textile media. SIAM J. Math. Anal. 42 (2010), pp. 3076–3102.
125. B. Li and W. Sun: Newton-Cotes rules for Hadamard finite-part integrals on an interval. IMA J. Numer. Anal. 30 (2010), pp. 1235–1255.
126. B. Li, W. Sun and Y. Wang: Global existence of weak solution to the heat and moisture transport system in fibrous media. J. Differential Equations 249 (2010), pp. 2618–2642.

Interested candidates may send CV (with publications) to email address: buyang.li@polyu.edu.hk