49 citations · 144 across the 45 of their papers we have counts for
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Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham +2
This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations with absorption, where the PDE is discretised using curl-conforming finite-element methods of…
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
Simon N. Chandler-Wilde, Euan A. Spence, Andrew Gibbs +1
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the…
Uniform asymptotics as a stationary point approaches an endpoint
Arran Fernandez, Athanassios S. Fokas, Euan A. Spence
We obtain the rigorous uniform asymptotics of a particular integral where a stationary point is close to an endpoint. There exists a general method introduced by Bleistein for obta…
Two-level preconditioners for the Helmholtz equation
Marcella Bonazzoli, Victorita Dolean, Ivan Graham +2
In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dim…
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
Marcella Bonazzoli, Victorita Dolean, Ivan Graham +2
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at mid- to high-frequency is a problem of great current interest. Some of the difficult…
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions
Andrea Moiola, Euan A. Spence
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on…