A wideband fast multipole method for the two-dimensional complex Helmholtz equation

DOI10.1016/j.cpc.2010.09.010zbMath1219.65140OpenAlexW2002491408MaRDI QIDQ546779

Wei Cai, Min-Hyung Cho

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.09.010

zbMATH Keywords

algorithmnumerical examplesHelmholtz equationfast solverwideband fast multipole method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation ⋮ A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method ⋮ A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ Quadrature by two expansions for evaluating Helmholtz layer potentials ⋮ A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\) ⋮ 2D-WFMM ⋮ On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels

Uses Software

• FIFA
• FMM-Yukawa

Cites Work

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• FMM-Yukawa: an adaptive fast multipole method for screened Coulomb interactions
• A new version of the fast multipole method for screened Coulomb interactions in three dimensions
• Rapid solution of integral equations of scattering theory in two dimensions
• Diagonal forms of translation operators for the Helmholtz equation in three dimensions
• A fast directional algorithm for high frequency acoustic scattering in two dimensions
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• An adaptive fast solver for the modified Helmholtz equation in two dimensions
• Diffraction Theory of Electromagnetic Waves
• A fast algorithm for particle simulations
• Algorithmic issues for electromagnetic scattering in layered media: Green's functions, current basis, and fast solver

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