Fourier-Based Fast Multipole Method for the Helmholtz Equation

DOI10.1137/11085774XzbMath1266.65220arXiv0911.4114OpenAlexW3101325927MaRDI QIDQ4917126

Cris Cecka, Eric Darve

Publication date: 29 April 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4114

zbMATH Keywords

interpolationboundary element methodintegral equationsfast Fourier transformfast multipole methodHelmholtzMaxwellFourier basisanterpolation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Numerical interpolation (65D05) Numerical methods for trigonometric approximation and interpolation (65T40) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels ⋮ Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method ⋮ A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media ⋮ A kernel-independent uniform fast multipole method based on barycentric rational interpolation ⋮ A wideband fast multipole method for the Helmholtz kernel: theoretical developments ⋮ FMMTL: FMM Template Library A Generalized Framework for Kernel Matrices ⋮ Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs ⋮ On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels

This page was built for publication: Fourier-Based Fast Multipole Method for the Helmholtz Equation