Publications

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Shihua Gong, Ivan G. Graham, Euan A. Spence. Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. submitted to Math. Comp., 2021.

Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence. Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. submitted to Numer. Math., 2021.

Shihua Gong, Martin J. Gander, Ivan G. Graham, Euan A. Spence. A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. submitted, 2021.

Shihua Gong, Ivan G. Graham, Euan A. Spence. Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. IMA J. Numer. Anal., 2021.

Shihua Gong, Xiao-Chuan Cai. A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity. SIAM J. Sci. Comp.., 2019.

Shihua Gong, Shuonan Wu, Jinchao Xu. New Hybridized Mixed Methods for Linear Elasticity and Optimal Multilevel Solvers. Numer. Math., 2019.

Shihua Gong, Xiao-Chuan Cai. A Nonlinear Elimination Preconditioned Newton's Method with Applications in Arterial Wall Simulation. Proceedings of the 24th International Conference on Domain Decomposition Methods, 2017.

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Shuonan Wu, Shihua Gong, Jinchao Xu. Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor. M3AS, 2017.

W. Hao, S. Gong, S. Wu, J. Xu, M. R. Go, A. Friedman, D. Zhu. A mathematical model of aortic aneurysm formation. Plos One, 2017.