
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
The Restricted Additive Schwarz method with impedance transmission condi...
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Spurious QuasiResonances in Boundary Integral Equations for the Helmholtz Transmission Problem
We consider the Helmholtz transmission problem with piecewiseconstant m...
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Highfrequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
We study a commonlyused secondkind boundaryintegral equation for solv...
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Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
We analyse parallel overlapping Schwarz domain decomposition methods for...
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Coercivity, essential norms, and the Galerkin method for secondkind integral equations on polyhedral and Lipschitz domains
It is well known that, with a particular choice of norm, the classical d...
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Perfectlymatchedlayer truncation is exponentially accurate at high frequency
We consider a wide variety of scattering problems including scattering b...
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A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem
In this paper we revisit the Restricted Additive Schwarz method for solv...
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Decompositions of highfrequency Helmholtz solutions via functional calculus, and application to the finite element method
Over the last ten years, results from [MelenkSauter, 2010], [MelenkSau...
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Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
We consider GMRES applied to discretisations of the highfrequency Helmh...
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Local absorbing boundary conditions on fixed domains give orderone errors for highfrequency waves
We consider approximating the solution of the Helmholtz exterior Dirichl...
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Eigenvalues of the truncated Helmholtz solution operator under strong trapping
For the Helmholtz equation posed in the exterior of a Dirichlet obstacle...
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Wavenumberexplicit convergence of the hpFEM for the fullspace heterogeneous Helmholtz equation with smooth coefficients
A convergence theory for the hpFEM applied to a variety of constantcoe...
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Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification
This paper analyses the following question: let A_j, j=1,2, be the Galer...
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Domain decomposition preconditioners for highorder discretisations of the heterogeneous Helmholtz equation
We consider onelevel additive Schwarz domain decomposition precondition...
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A sharp relativeerror bound for the Helmholtz hFEM at high frequency
For the hfiniteelement method (hFEM) applied to the Helmholtz equatio...
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Euan A. Spence
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