An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions

DOI10.1016/j.apnum.2016.01.003zbMath1416.65568OpenAlexW2328283609MaRDI QIDQ278771

Franziska Nestler

Publication date: 2 May 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.01.003

zbMATH Keywords

dipole-dipole interactionsparticle methodsEwald summationmixed periodicityNFFTnonequispaced fast Fourier transformP2NFFTP3M

Mathematics Subject Classification ID

Related Items (4)

NFFT based Ewald summation for electrostatic systems with charges and dipoles ⋮ Fast Ewald summation for Stokes flow with arbitrary periodicity ⋮ Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P\(^{2}\)NFFT method ⋮ Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall

Uses Software

• PNFFT
• ScaFaCoS
• NFFT3

Cites Work

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• Automated parameter tuning based on RMS errors for nonequispaced FFTs
• Spectral accuracy in fast Ewald-based methods for particle simulations
• A recursive algorithm for the \(G\) transformation and accurate computation of incomplete Bessel functions
• Fast ewald summation based on NFFT with mixed periodicity
• A note on fast Fourier transforms for nonequispaced grids
• On the fast Fourier transform of functions with singularities
• Removal of spurious self-interactions in particle-mesh methods
• Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
• Parallel Three-Dimensional Nonequispaced Fast Fourier Transforms and Their Application to Particle Simulation
• Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
• Fast Approximate Fourier Transforms for Irregularly Spaced Data
• Fast Fourier Transforms for Nonequispaced Data
• Ewald summation of electrostatic interactions of systems with finite extent in two of three dimensions
• Accelerating the Nonuniform Fast Fourier Transform

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