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math.NA2021
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
Pierre Marchand, Jeffrey Galkowski, Alastair Spence +1
We consider GMRES applied to discretisations of the high-frequency Helmholtz equation with strong trapping; recall that in this situation the problem is exponentially ill-condition…
math.NA2021★ 2 cited
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…