2026 (preprints)
L. Shen, Y. Zhang, Y. Chen, X. Ding, P. Wen, C. Wang, P. Sun, S. Gong, J. Xu, et al.
A high-fidelity 3D fluid–structure interaction framework for predictive microfluidic design.
bioRxiv, 2026.04.28.721227, 2026.
Q. Xin,
S. Gong*, J. Xu.
Sharp inf-sup estimate for the Stokes equation in tight domains with periodic pillars and some numerical implications.
arXiv:2604.12643, 2026.
arXiv
L. Shen, Q. Xin, Y. Chen, J. Han, J. Xu, Y. Zhang,
S. Gong*.
A monolithic localized high-order ALE finite element method for multi-scale fluid–structure interaction problems.
arXiv:2602.02003, 2026.
arXiv
Q. Xin,
S. Gong*, L. Shen, P. Wen, Y. Zhang, Y. Chen, J. Han, J. Xu.
High-order DLM-ALE discretizations with robust operator preconditioning for fluid–rigid-body interaction.
arXiv:2602.01094, 2026.
arXiv
Y. Xie,
S. Gong*, I. G. Graham, E. A. Spence, C.-S. Zhang.
Massively parallel Schwarz methods for the high-frequency Helmholtz equation.
Proc. 29th Domain Decomposition Conference, 2026.
arXiv
In preparation
Y. Xie, S. Gong*, I. G. Graham, E. A. Spence.
Massively parallel domain decomposition methods for solving the Helmholtz equation in O(k) runtime.
L. Cen, S. Gong*, E. A. Spence, Y. Yu.
Restricted additive Schwarz method with local impedance boundary conditions for the time-harmonic Maxwell equation.
X. Qi, S. Gong*, Y. Zhang, L. Shen, P. Sun, J. Xu, J. Han, Y. Chen.
A comparison of different computational models for numerical simulation of particulate flow in DLD microfluidic chips.
2024 – 2025
Y. Zhang, X. Cheng, D. Yi, S. Gong, M. Zhou, C. Nan.
Dislocation-induced giant dielectric and piezoelectric responses in BaTiO3 single crystals by phase-field simulations.
Acta Materialia, 121469, 2025.
S. Gong, Y.-J. Lee, Y. Li, Y. Yu.
Positivity and maximum principle preserving discontinuous Galerkin finite element schemes for a coupled flow and transport.
J. Sci. Comput., 103(1): 20, 2025.
arXiv
J. Galkowski,
S. Gong, I. G. Graham, D. Lafontaine, E. A. Spence.
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency.
Proc. 28th Domain Decomposition Conference, 2025.
arXiv
S. Fu,
S. Gong, G. Li, Y. Wang.
On edge multiscale space based hybrid Schwarz preconditioner for Helmholtz problems with large wavenumbers.
arXiv:2408.08198, 2024.
arXiv
J. Galkowski,
S. Gong, I. G. Graham, D. Lafontaine, E. A. Spence.
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems.
arXiv:2404.02156, 2024.
arXiv
2021 – 2023
S. Gong, I. G. Graham, E. A. Spence.
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems.
Math. Comp., 92(339): 175–215, 2023.
arXiv
DOI
S. Gong, M. J. Gander, I. G. Graham, D. Lafontaine, E. A. Spence.
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation.
Numer. Math., 152: 259–306, 2022.
arXiv
DOI
S. Gong, M. J. Gander, I. G. Graham, E. A. Spence.
A variational interpretation of restricted additive Schwarz with impedance transmission condition for the Helmholtz problem.
Proc. Int. Conf. on Domain Decomposition Methods (DD26), 2021.
S. Gong, I. G. Graham, E. A. Spence.
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation.
IMA J. Numer. Anal., 41(3): 2139–2185, 2021.
DOI
2017 – 2019
S. Gong, S. Wu, J. Xu.
New hybridized mixed methods for linear elasticity and optimal multilevel solvers.
Numer. Math., 141: 569–604, 2019.
DOI
S. Gong, X.-C. Cai.
A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity.
SIAM J. Sci. Comput., 41(5): S390–S408, 2019.
DOI
Code
S. Gong, X.-C. Cai.
A nonlinear elimination preconditioned Newton method with applications in arterial wall simulation.
Proc. Int. Conf. on Domain Decomposition Methods (DD24), 353–361, 2019.
S. Wu,
S. Gong, J. Xu.
Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor.
Math. Models Methods Appl. Sci., 27(14): 2711–2743, 2017.
DOI
W. Hao,
S. Gong, S. Wu, J. Xu, M. R. Go, A. Friedman, D. Zhu.
A mathematical model of aortic aneurysm formation.
PLOS ONE, 12(2): e0170807, 2017.
DOI
* denotes corresponding author. See Google Scholar for citations and the CV for the full record.
