Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems

DOI10.1137/130936075zbMath1295.65118OpenAlexW2059204142WikidataQ117717433 ScholiaQ117717433MaRDI QIDQ5495234

Andreas Asheim, Daan Huybrechs

Publication date: 31 July 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130936075

zbMATH Keywords

numerical exampleasymptoticsdiffractionintegral equation methodscattering problemsgeometrical opticsmicrolocal analysishigh frequencyHelmhotz equation

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Diffraction, scattering (78A45) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

Efficient computation of oscillatory integrals by exponential transformations ⋮ Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators ⋮ High-frequency asymptotic compression of dense BEM matrices for general geometries without ray tracing ⋮ A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons ⋮ Adaptive FCC+ rules for oscillatory integrals ⋮ Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation ⋮ Frequency independent solvability of surface scattering problems ⋮ Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem ⋮ A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency ⋮ Efficient construction of FCC+ rules

This page was built for publication: Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems