Preprints

  1. Local discontinuous Galerkin method for the integral fractional Laplacian
    2. R. Han, S. Wu, and H. Zhou,  submitted, arXiv:2512.12200,  2025

  2. Exponentially-fitted finite elements for H(curl) and H(div) convection-diffusion problems
    3. J. Wang, and S. Wu,  submitted, arXiv:2308.07680,  2023

  3. On the unisolvence for the quasi-polynomial spaces of differential forms
    4. S. Wu, and L. T. Zikatanov,  submitted, arXiv:2003.14278,  2020

  4. P_m interior penalty nonconforming finite element methods for 2m-th order PDEs in R^n
    5. S. Wu, and J. Xu,  arXiv:1710.07678,  2017

Accepted / Published Papers

  1. A construction of canonical nonconforming finite element spaces for elliptic equations of any order in any dimension
    2. J. Li, and S. Wu,  Mathematics of Computation, accepted,  2025.  [arXiv]

  2. A streamline upwind/Petrov-Galerkin method for the magnetic advection-diffusion problem
    3. H. Li, Y. Luo, J. Wang, and S. Wu,  Computer Methods in Applied Mechanics and Engineering,  451,  Article No. 118678,  2026.  [arXiv]

  3. Local projection stabilization methods for H(curl) and H(div) advection problems
    4. Y. Luo, J. Wang, and S. Wu,  Journal of Computational and Applied Mathematics,  476,  Article No. 117129,  2026.  [arXiv]

  4. A stabilized nonconforming finite element method for the surface biharmonic problem
    5. S. Wu and H. Zhou,  SIAM Journal on Numerical Analysis,  63(4),  1642--1665,  2025.  [arXiv]

  5. A robust solver for H(curl) convection-diffusion and its local Fourier analysis
    6. J. Wang, and S. Wu,  SIAM Journal on Scientific Computing,  47(2),  A838--A865,  2025.  [arXiv]

  6. Two families of n-rectangle nonconforming finite elements for sixth-order elliptic equations
    7. X. Jin, and S. Wu,  Journal of Computational Mathematics,  43(1),  121--142,  2025.  [arXiv]

  7. Discontinuous Galerkin methods for magnetic advection-diffusion problems
    8. J. Wang, and S. Wu,  Computers and Mathematics with Applications,  174,  43--54,  2024.  [arXiv]

  8. A hybridizable discontinuous Galerkin method for magnetic advection-diffusion problems
    9. J. Wang, and S. Wu,  Journal of Scientific Computing,  99,  Article No. 86,  2024. [arXiv]

  9. Stabilized finite element discretizations of general convection-diffusion problems (in Chinese)
    10. S. Wu,  SCIENTIA SINICA Mathematica,  54(1),  1--24,  2024 (review article).  [pdf]

  10. Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains
    11. J. P. Borthagaray, R. H. Nochetto, S. Wu, and J. Xu,  Mathematics of Computation,  92,  2439--2473,  2023.  [arXiv]

  11. A monotone discretization for the fractional obstacle problem and its improved policy iteration
    12. R. Han, S. Wu, and H. Zhou,  Fractal and Fractional,  7(8),  Article No. 643,  2023.  [arXiv]

  12. A C^0 finite element approximation of planar oblique derivative problems in non-divergence form
    13. G. Gao, and S. Wu,  Journal of Computational and Applied Mathematics,  427,  Article No. 115146,  2023.  [arXiv]

  13. A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity
    14. R. Han, and S. Wu,  SIAM Journal on Numerical Analysis,  60(6),  3052-3077,  2022.  [arXiv]

  14. Auxiliary space preconditioners for C^0 finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients
    15. G. Gao, and S. Wu,  Journal of Scientific Computing,  92,  Article No. 105,  2022.  [arXiv]

  15. Finite element approximations of a class of nonlinear stochastic wave equation with multiplicative noise
    16. Y. Li, S. Wu, and Y. Xing,  Journal of Scientific Computing,  91,  Article No. 53,  2022.  [arXiv]

  16. A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations
    17. S. Wu, and Z. Zhou,  SIAM Journal on Scientific Computing,  43(6),  A3627--A3656,  2021.  [arXiv]

  17. C^0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients
    18. S. Wu,  Calcolo,  58,  Article No. 9,  2021.  [arXiv]

  18. An extended Galerkin analysis for elliptic problems
    19. Q. Hong, S. Wu, and J. Xu,  Science China Mathematics,  64,  2141-2158,  2021.  [arXiv]

  19. A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity-pseudostress formulation
    20. Y. Qian, S. Wu, and F. Wang,  Computer Methods in Applied Mechanics and Engineering,  368,  Article No. 113177,  2020.  [arXiv]

  20. A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry
    21. F. Wang, S. Wu, and J. Xu,  Journal of Scientific Computing,  83,  Article No. 2,  2020.  [arXiv]

  21. Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow
    22. S. Wu, and Y. Li,  ESAIM: Mathematical Modelling and Numerical Analysis,  54(3),  1025--1052,  2020.  [arXiv]

  22. Simplex-averaged finite element methods for H(grad), H(curl) and H(div) convection-diffusion problems
    23. S. Wu, and J. Xu,  SIAM Journal on Numerical Analysis,  58(1),  884--906,  2020.  [arXiv]

  23. New hybridized mixed methods for linear elasticity and optimal multilevel solvers
    24. S. Gong, S. Wu, and J. Xu,  Numerische Mathematik,  141(2),  569--604,  2019.  [arXiv]

  24. A unified study of continuous and discontinuous Galerkin methods
    25. Q. Hong, F. Wang, S. Wu, and J. Xu,  Science China Mathematics,  62(1),  1--32,  2019.  [arXiv]

  25. Nonconforming finite element spaces for 2m-th order partial differential equations on R^n simplicial grids when m=n+1
    26. S. Wu, and J. Xu,  Mathematics of Computation,  88,  531--551,  2019.  [arXiv]

  26. On the stability and accuracy of partially and fully implicit schemes for phase field modeling
    27. J. Xu, Y. Li, S. Wu, and A. Bousquet,  Computer Methods in Applied Mechanics and Engineering,  345,  826--853,  2019.  [arXiv]

  27. A mathematical model of aortic aneurysm formation
    28. W. Hao, S. Gong, S. Wu, J. Xu, M. Go, A. Friedman, and D. Zhu,  PloS one,  12(2),  2017.

  28. Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions
    29. S. Wu, and J. Xu,  Journal of Computational Physics,  343,  10--32,  2017.  [arXiv]

  29. Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor
    30. S. Wu, S. Gong, and J. Xu,  Mathematical Models and Methods in Applied Sciences,  27(14),  2711--2743,  2017.  [arXiv]

  30. A second order time homogenized model for sediment transport
    31. Y. Jiang, R. Li, and S. Wu,  Multiscale Modeling and Simulation,  14(3),  965--996,  2016.  [arXiv]

  31. h-adaptive mesh method with double tolerance adaptive strategy for hyperbolic conservation laws
    32. R. Li, and S. Wu,  Journal of Scientific Computing,  56(3),  616--636,  2013.

  32. Robust a simulation for shallow flows with friction on rough topography
    33. J. Deng, R. Li, T. Sun, and S. Wu,  Numerical Mathematics: Theory, Methods and Applications,  6(2),  384--407,  2013.