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
  1. 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).
  2. 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).
  3. 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).
  4. 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).
  5. S. Gong & X.-C. Cai. A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. SIAM J. Sci. Comp.. 41(5): S390-S408 (2019).
  6. S. Gong, S. Wu & J. Xu. New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Numer. Math.. 141: 569-604 (2019).
  7. 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).