A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media

DOI10.1016/j.jcp.2012.05.022zbMath1277.35143OpenAlexW1985881942MaRDI QIDQ385903

Wei Cai, Min-Hyung Cho

Publication date: 12 December 2013

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.05.022

zbMATH Keywords

Green's functionlayered mediaHelmholtz equationfast multipole methodwindow functiontree-code

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (11)

Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media ⋮ Windowed Green function method for the Helmholtz equation in the presence of multiply layered media ⋮ High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium ⋮ Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints ⋮ Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media ⋮ Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media ⋮ Fast integral equation solver for Maxwell's equations in layered media with FMM for Bessel functions ⋮ Efficient and accurate computation of electric field dyadic Green's function in layered media ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\)

Uses Software

• 2D-WFMM

Cites Work

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