3 citations · 9 across the 7 of their papers we have counts for
7 papers
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
Jeffrey Galkowski, Shihua Gong, Ivan G. Graham +2
We study overlapping Schwarz methods for the Helmholtz equation posed in any dimension with large, real wavenumber and smooth variable wave speed. The radiation condition is approx…
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
Shihua Gong, Ivan G. Graham, Euan A. Spence
The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-le…
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
Shihua Gong, Martin J. Gander, Ivan G. Graham +2
We analyse parallel overlapping Schwarz domain decomposition methods for the Helmholtz equation, where the subdomain problems satisfy first-order absorbing (impedance) transmission…
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem
Shihua Gong, Martin J. Gander, Ivan G. Graham +1
In this paper we revisit the Restricted Additive Schwarz method for solving discretized Helmholtz problems, using impedance boundary conditions on subdomains (sometimes called ORAS…
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation
Shihua Gong, Ivan G. Graham, Euan A. Spence
We consider one-level additive Schwarz domain decomposition preconditioners for the Helmholtz equation with variable coefficients (modelling wave propagation in heterogeneous media…
New Hybridized Mixed Methods for Linear Elasticity and Optimal Multilevel Solvers
Shihua Gong, Shuonan Wu, Jinchao Xu
In this paper, we present a family of new mixed finite element methods for linear elasticity for both spatial dimensions , which yields a conforming and strongly symmetric a…
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
We propose two classes of mixed finite elements for linear elasticity of any order, with interior penalty for nonconforming symmetric stress approximation. One key point of our met…