This title appears in the Scientific Report : 2013 

Comparison of scalable fast methods for long-range interactions
Sutmann, Godehard (Corresponding author)
Arnold, Axel / Fahrenberger, Florian / Holm, Christian / Bolten, Matthias / Dachsel, Holger / Halver, Rene / Kabadshow, Ivo / Gaehler, Franz / Heber, Frederik / Iseringhausen, Julian / Hofmann, Michael / Pippig, Michael / Potts, Daniel
Jülich Supercomputing Center; JSC
Physical review / E, 88 6, S. 063308
College Park, Md. APS 2013
10.1103/PhysRevE.88.063308
Journal Article
Fast Multipole Method
Computational Science and Mathematical Methods
OpenAccess
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.88.063308 in citations.
Please use the identifier: http://hdl.handle.net/2128/5762 in citations.
Based on a parallel scalable library for Coulomb interactions in particle systems, a comparison between the fast multipole method (FMM), multigrid-based methods, fast Fourier transform (FFT)-based methods, and a Maxwell solver is provided for the case of three-dimensional periodic boundary conditions. These methods are directly compared with respect to complexity, scalability, performance, and accuracy. To ensure comparable conditions for all methods and to cover typical applications, we tested all methods on the same set of computers using identical benchmark systems. Our findings suggest that, depending on system size and desired accuracy, the FMM- and FFT-based methods are most efficient in performance and stability.