人员简介

GONG, Shihua

Biography

POSITION/TITLE

Research Scientist of SICIAM

Assistant Professor of CUHKSZ

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

ACADEMIC AREA

Mathematics and Applied Mathematics

PERSONAL WEBSITE

http://www.Shihua-gong.org

EMAIL

gongshihua@cuhk.edu.cn

BIOGRAPHY

Dr. Gong obtained his bachelor's degree in Information and Computational Science from Sun Yat-sen University in 2013 and a Ph.D. degree in Computational Mathematics from Peking University in 2018. After graduation, he worked as a postdoctoral scholar at Pennsylvania State University (2018-2019) and then as a research associate at the University of Bath (2019-2021).

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] 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 (2022).

[2] 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).

[3] 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).

[4] S. Gong & X.-C. Cai. A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. SIAM J. Sci. Comp.. 41(5): S390-S408 (2019).

[5] S. Gong, S. Wu & J. Xu. New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Numer. Math.. 141: 569-604 (2019).

[6] 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).