Shihua Gong

Research Associate

University of Bath

Biography

I obtained my bachelor’s degree in mathematics from Sun Yat-sen University in 2013 and PhD degree from Peking University in 2018. Then I had been a postdoctoral scholar at Pennsylvania State University. Now I am working with Ivan Graham and Euan Spence on fast solvers for frequency-domain wave-scattering problems.

My research interests include scientific computing and numerical analysis, mainly focusing on finite element methods, domain decomposition methods, and the nonlinearly preconditioned Newton methods.

Interests

scientific computing and computer simulation
linearly and nonlinearly preconditioning techniques
finite element methods and scalable solvers

Education

PhD in Computational Mathematics, 2018

Peking University
BS in Information and Computational Science, 2013

Sun Yat-sen University

Selected Publications

Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems

Shihua Gong, Ivan G. Graham, Euan A. Spence

Preprint

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation

Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence

Preprint

Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation

Shihua Gong, Ivan G. Graham, Euan A. Spence

PDF

A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity

Shihua Gong, Xiao-Chuan Cai

PDF Code

New Hybridized Mixed Methods for Linear Elasticity and Optimal Multilevel Solvers

Shihua Gong, Shuonan Wu, Jinchao Xu

PDF Poster

Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor

Shuonan Wu, Shihua Gong, Jinchao Xu

PDF

Oral/Poster Presentations

Convergence of Restricted additive Schwarz method with local impedance conditions for the Helmholtz equation

Mar 6, 2021 3:00 PM

SIAM Conference on Computational Science and Engineering

Convergence of overlapping domain decomposition methods for the Helmholtz equation

Dec 6, 2020 3:00 PM

the 26th International Domain Decomposition Conference

An Analysis of a Schwarz preconditioner for heterogeneous Helmholtz problems

Jun 26, 2019 3:00 PM

the 28th edition of the Biennial Numerical Analysis Conference

An Analysis of Nonlinear Elimination Preconditioned Newton's method

Mar 7, 2018 1:00 PM

SIAM Conference on Parallel Processing for Scientific Computing

A Nonlinear Elimination Preconditioned Newton’s Method for Hyperelasticity

Jun 14, 2017 12:00 AM

PETSc USER MEETING 2017

PDF

A Robust Multilevel Solver for a New Hybridizable Mixed Discretization of Linear Elasticity

Mar 26, 2017 3:00 PM

18th Copper Mountain Conference On Multigrid Methods

Slides

A Hybridizable Mixed Finite Element Method for Planar Linear Elasticity

Aug 10, 2015 1:00 PM

The 8th International Congress on Industrial and Applied Mathematics

Slides

Teaching

Tutor, Programming and discrete mathematics, University of Bath, Jan-May 2021
Teaching Assistant, Finite Element Methods, Pennsylvania State University, Aug-Dec 2018
Teaching Assistant, Introduction to Fluid Mechanics, Peking University, Mar-Jul 2015
Teaching Assistant, Functions of Real Variable and Functional Analysis, Peking University, Sept-Jan 2015
Teaching Assistant, Linear Algebra, Peking University, Mar-Jul 2014

Contact

sg2328@bath.ac.uk
4W 3.35