Poisson solvers for self-consistent multi-particle simulations
Accelerator Physics
2014-10-15 v1 Computational Physics
Abstract
Self-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density distribution in the multi-particle simulation. In this paper, we review a number of numerical methods that can be used to solve the Poisson equation efficiently. The computational complexity of those numerical methods will be O(N log(N)) or O(N) instead of O(N2), where N is the total number of grid points used to solve the Poisson equation.
Cite
@article{arxiv.1410.3633,
title = {Poisson solvers for self-consistent multi-particle simulations},
author = {J. Qiang and S. Paret},
journal= {arXiv preprint arXiv:1410.3633},
year = {2014}
}
Comments
5 pages, contribution to the ICFA Mini-Workshop on Beam-Beam Effects in Hadron Colliders, CERN, Geneva, Switzerland, 18-22 Mar 2013