Shihua Gong

Research Associate

University of Bath

Biography

My research interests include scientific computing, mixed finite element methods, domain decomposition methods, multigrid methods and the nonlinearly preconditioned Newton methods. Now I am working with Ivan Graham and Euan Spence on fast solvers for frequency-domain wave-scattering problems.

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

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

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

Preprint

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

A Nonlinear Elimination Preconditioned Newton's Method with Applications in Arterial Wall Simulation

Shihua Gong, Xiao-Chuan Cai

PDF Code 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

A mathematical model of aortic aneurysm formation

W. Hao, S. Gong, S. Wu, J. Xu, M. R. Go, A. Friedman, D. Zhu

PDF

Recent Publications

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

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

Preprint

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

A Nonlinear Elimination Preconditioned Newton's Method with Applications in Arterial Wall Simulation

Shihua Gong, Xiao-Chuan Cai

PDF Code 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

A mathematical model of aortic aneurysm formation

W. Hao, S. Gong, S. Wu, J. Xu, M. R. Go, A. Friedman, D. Zhu

PDF

Oral/Poster Presentations

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

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

Contact

sg2328@bath.ac.uk
4W 3.35