GONG, Shihua
Assistant Professor
Presidential Young Fellow
Education Background
Ph.D. (Peking University)
B.S. (Sun Yat-Sen University)
Research Field
Scientific computing and numerical analysis, finite element, domain decomposition, and preconditioning techniques
Class
Mathematics and Applied Mathematics
Personal Website
Email
gongshihua@cuhk.edu.cn
Biography
Dr. Gong obtained his bachelor's degree from Sun Yat-sen University in 2013 and a Ph.D. degree in Computational Mathematics from Peking University in 2018. Before joining CUHK(SZ), he worked as a postdoctoral scholar at Pennsylvania State University and then as a research associate at the University of Bath.
His research interests include scientific computing and numerical analysis, mainly focusing on finite element, domain decomposition methods, and preconditioning techniques for frequency-domain wave equations and multiphysics problems.
Academic Publications
- 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).
- S. Gong, I. G. Graham & E. A. Spence. Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Math. Comp.. 92:175-215(2023).
- 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.. 151:259-306 (2022).
- S. Gong, I. G. Graham & E. A. Spence, Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. IMA J. Numer. Anal.. 41(3):2139-2185 (2021).
- S. Gong & X.-C. Cai. A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. SIAM J. Sci. Comp.. 41(5): S390-S408 (2019).
- S. Gong, S. Wu & J. Xu. New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Numer. Math.. 141: 569-604 (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).