A fast algorithm for three-dimensional potential fields calculation: fast Fourier transform on multipoles.

DOI10.1016/j.jcp.2003.07.004zbMath1117.78334OpenAlexW2007011605MaRDI QIDQ1418648

D. Massart

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.07.004

zbMATH Keywords

Laplace equationFast Fourier transformMultipole translation operators

Mathematics Subject Classification ID

Related Items (11)

Wavelet BEM for large-scale Stokes flows based on the direct integral formulation ⋮ A kernel-free boundary integral method for the nonlinear Poisson-Boltzmann equation ⋮ Rapid solution of 3-D oscillatory elastodynamics using the pfft accelerated BEM ⋮ The Robin Hood method-A new view on differential equations ⋮ ``New-version-fast-multipole-method accelerated electrostatic calculations in biomolecular sys\-tems ⋮ Application of the fast multipole method for the evaluation of magnetostatic fields in micromagnetic computations ⋮ The Robin Hood method -- a novel numerical method for electrostatic problems based on a non-local charge transfer ⋮ A fast elastostatic solver based on fast Fourier transform on multipoles (FFTM) ⋮ FMM-Yukawa: an adaptive fast multipole method for screened Coulomb interactions ⋮ A fast algorithm for modeling multiple bubbles dynamics ⋮ Fast Fourier transform on multipoles (FFTM) algorithm for Laplace equation with direct and indirect boundary element method

Uses Software

• FFTW
• Fastcap

Cites Work

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• A method of local corrections for computing the velocity field due to a distribution of vortex blobs
• A fast adaptive multipole algorithm in three dimensions
• Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
• Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• Fast Fourier Transform Accelerated Fast Multipole Algorithm
• A fast algorithm for three‐dimensional electrostatics analysis: fast Fourier transform on multipoles (FFTM)
• A fast algorithm for particle simulations
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications

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