5 citations · 15 across the 17 of their papers we have counts for
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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…
Perfectly-matched-layer truncation is exponentially accurate at high frequency
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
We consider a wide variety of scattering problems including scattering by Dirichlet, Neumann, and penetrable obstacles. We consider a radial perfectly-matched layer (PML) and show…
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method
Jeffrey Galkowski, David Lafontaine, Euan A. Spence +1
Over the last ten years, results from [Melenk-Sauter, 2010], [Melenk-Sauter, 2011], [Esterhazy-Melenk, 2012], and [Melenk-Parsania-Sauter, 2013] decomposing high-frequency Helmholt…
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a nontrapping obstacle, with boundary data coming from plane-wave incidence, by the solution…