Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering

DOI10.1093/imanum/drt002zbMath1296.65173OpenAlexW2135961445MaRDI QIDQ5416821

Timo Betcke, Joel R. Phillips, Euan A. Spence

Publication date: 15 May 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://discovery.ucl.ac.uk/id/eprint/1334079/

zbMATH Keywords

numerical examplesacoustic scatteringspectral propertiesHelmholtz equationnormal operatorspseudospectraboundary integral operators

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (45P05) Integral operators (47G10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering ⋮ Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? ⋮ A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles ⋮ Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem ⋮ New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results ⋮ High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem

Uses Software

• Eigtool

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