Preprints
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Exponentially-fitted finite elements for H(curl) and
H(div) convection-diffusion problems
J. Wang,
and S. Wu,
submitted, arXiv:2308.07680,
2023
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Discontinuous Galerkin methods for magnetic
advection-diffusion problems
J. Wang, and
S. Wu,
submitted, arXiv:2208.01267,
2022
-
On the unisolvence for the quasi-polynomial spaces
of differential forms
S. Wu, and L. T.
Zikatanov,
arXiv:2003.14278,
2020
- P_m interior penalty nonconforming
finite element methods for 2m-th order PDEs in R^n
S. Wu, and J.
Xu,
arXiv:1710.07678,
2017
Accepted / Published Papers
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A hybridizable discontinuous Galerkin method for magnetic
advection-diffusion problems
J. Wang, and
S. Wu,
Journal of Scientific Computing, accepted,
2024.
[arXiv]
-
Two families of n-rectangle nonconforming finite
elements for sixth-order elliptic equations
X. Jin, and
S. Wu,
Journal of Computational
Mathematics, accepted,
2023.
[arXiv]
-
Stabilized finite element discretizations of general
convection-diffusion problems (in Chinese)
S. Wu,
SCIENTIA SINICA Mathematica,
54(1),
1--24,
2024 (review article).
[pdf]
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Robust BPX preconditioner for fractional Laplacians on
bounded Lipschitz domains
J. P. Borthagaray, R. H. Nochetto,
S. Wu, and J. Xu,
Mathematics of Computation,
92,
2439--2473,
2023.
[arXiv]
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A monotone discretization for the fractional
obstacle problem and its improved policy iteration
R. Han,
S. Wu, and H. Zhou,
Fractal and Fractional,
7(8),
Article No. 643,
2023.
[arXiv]
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A C^0 finite element approximation of planar
oblique derivative problems in non-divergence form
G. Gao, and
S. Wu,
Journal of Computational and Applied
Mathematics,
427,
Article No. 115146,
2023.
[arXiv]
-
A monotone discretization for integral fractional
Laplacian on bounded Lipschitz domains: Pointwise
error estimates under Hölder regularity
R. Han, and
S. Wu,
SIAM Journal on Numerical
Analysis,
60(6),
3052-3077,
2022.
[arXiv]
-
Auxiliary space preconditioners for C^0 finite
element approximation of Hamilton--Jacobi--Bellman
equations with Cordes coefficients
G. Gao, and
S. Wu,
Journal of Scientific
Computing,
92,
Article No. 105,
2022.
[arXiv]
-
Finite element approximations of a class of nonlinear
stochastic wave equation with multiplicative noise
Y. Li,
S. Wu, and Y. Xing,
Journal of Scientific
Computing,
91,
Article No. 53,
2022.
[arXiv]
-
A parallel-in-time algorithm for high-order BDF methods for diffusion
and subdiffusion equations
S. Wu, and Z. Zhou,
SIAM Journal on Scientific
Computing,
43(6),
A3627--A3656,
2021.
[arXiv]
-
C^0 finite element approximations of linear elliptic
equations in non-divergence form and
Hamilton-Jacobi-Bellman equations with Cordes coefficients
S. Wu,
Calcolo,
58,
Article No. 9,
2021.
[arXiv]
-
An extended Galerkin analysis for
elliptic problems
Q. Hong, S. Wu,
and J. Xu,
Science China Mathematics,
64,
2141-2158,
2021.
[arXiv]
- A mixed discontinuous Galerkin method
with symmetric stress for Brinkman problem based on
the velocity-pseudostress formulation
Y. Qian, S. Wu,
and F. Wang,
Computer Methods in Applied Mechanics and
Engineering,
368,
Article No. 113177,
2020.
[arXiv]
- A mixed discontinuous Galerkin method
for linear elasticity with strongly imposed symmetry
F. Wang, S. Wu, and J. Xu,
Journal of Scientific
Computing,
83,
Article No. 2,
2020.
[arXiv]
- Analysis of the Morley element for
the Cahn-Hilliard equation and the Hele-Shaw flow
S. Wu, and Y. Li,
ESAIM: Mathematical
Modelling and Numerical Analysis,
54(3),
1025--1052,
2020.
[arXiv]
- Simplex-averaged finite element methods
for H(grad), H(curl) and H(div) convection-diffusion
problems
S. Wu, and J. Xu,
SIAM Journal on Numerical
Analysis,
58(1),
884--906,
2020.
[arXiv]
- New hybridized mixed methods for
linear elasticity and optimal multilevel solvers
S. Gong, S. Wu, and J.
Xu,
Numerische Mathematik,
141(2),
569--604,
2019.
[arXiv]
- A unified study of continuous and
discontinuous Galerkin methods
Q. Hong, F. Wang, S.
Wu, and J. Xu, Science China Mathematics,
62(1),
1--32,
2019.
[arXiv]
-
Nonconforming finite element
spaces for 2m-th order partial differential
equations on R^n simplicial grids when m=n+1
S. Wu, and J.
Xu,
Mathematics of
Computation,
88,
531--551,
2019.
[arXiv]
- On the stability and accuracy of
partially and fully implicit schemes for phase
field modeling
J. Xu, Y. Li, S. Wu, and A.
Bousquet,
Computer Methods in Applied Mechanics and
Engineering,
345,
826--853,
2019.
[arXiv]
- A mathematical model of
aortic aneurysm formation
W. Hao, S. Gong, S. Wu,
J. Xu, M. Go, A. Friedman, and D.
Zhu, PloS one, 12(2), 2017.
-
Multiphase Allen-Cahn and
Cahn-Hilliard models and their discretizations
with the effect of pairwise surface tensions
S. Wu, and J. Xu, Journal of Computational
Physics,
343, 10--32, 2017.
[arXiv]
-
Interior penalty mixed finite
element methods of any order in any dimension for
linear elasticity with strongly symmetric stress
tensor
S. Wu, S. Gong, and J.
Xu,
Mathematical Models and Methods
in Applied Sciences,
27(14),
2711--2743,
2017.
[arXiv]
-
A second order time homogenized
model for sediment transport
Y. Jiang, R. Li, and S.
Wu,
Multiscale Modeling and
Simulation, 14(3),
965--996, 2016.
[arXiv]
-
h-adaptive mesh method with
double tolerance adaptive strategy for hyperbolic
conservation laws
R. Li, and S.
Wu,
Journal of Scientific Computing,
56(3), 616--636, 2013.
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Robust a simulation for shallow
flows with friction on rough topography
J. Deng, R. Li, T. Sun, and
S. Wu,
Numerical Mathematics: Theory,
Methods and Applications, 6(2), 384--407,
2013.
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