High frequency scattering by convex curvilinear polygons

DOI10.1016/j.cam.2009.08.053zbMath1350.76041OpenAlexW2010501155MaRDI QIDQ975709

M. Mokgolele, Simon N. Chandler-Wilde, Stephen Langdon

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.053

zbMATH Keywords

Helmholtz equationGalerkin boundary element methodhigh frequency scatteringhybrid approximation spaceplane wave basis functions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems ⋮ A semi-analytical approach in the high-frequency diffraction by cracks ⋮ Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners ⋮ A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons ⋮ Source point discovery through high frequency asymptotic time reversal ⋮ Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation ⋮ Galerkin boundary element methods for high-frequency multiple-scattering problems ⋮ 2D quaternionic time-harmonic Maxwell system in elliptic coordinates

Cites Work

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• A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
• Condition number estimates for combined potential boundary integral operators in acoustic scattering
• A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
• Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering
• Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
• A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons
• Inverse acoustic and electromagnetic scattering theory

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