On the efficient representation of the half-space impedance Green's function for the Helmholtz equation

DOI10.1016/j.wavemoti.2013.04.012OpenAlexW2090717146MaRDI QIDQ1727423

Michael O'Neil, Andras Pataki, Leslie F. Greengard

Publication date: 20 February 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6708

zbMATH Keywords

Green's functionlayered mediaHelmholtzhalf-spaceimpedanceSommerfeld integral

Mathematics Subject Classification ID

Numerical analysis (65-XX) Information and communication theory, circuits (94-XX)

Related Items (14)

Windowed Green function method for the Helmholtz equation in the presence of multiply layered media ⋮ Vibroacoustic modeling of an elastic beam in low subsonic flows with mean velocities ⋮ Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis ⋮ An FMM for waveguide problems of 2-D Helmholtz' equation and its application to eigenvalue problems ⋮ Fast algorithms for quadrature by expansion. I: Globally valid expansions ⋮ Solving Thin-Body Acoustic Problems Over an Impedance Plane with a Fast Multipole Indirect Boundary Element Method ⋮ Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media ⋮ An interpolated time-domain equivalent source method for modeling transient acoustic radiation over a mass-like plane based on the transient half-space Green's function ⋮ Computing Fresnel integrals via modified trapezium rules ⋮ A generalized Debye source approach to electromagnetic scattering in layered media ⋮ On an equivalent representation of the Green's function for the Helmholtz problem in a non-absorbing impedance half-plane ⋮ A new hybrid integral representation for frequency domain scattering in layered media ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\) ⋮ Windowed Green Function Method for Layered-Media Scattering

Uses Software

• FMMLIB2D

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