A Fast Tree Algorithm for Electric Field Calculation in Electrical Discharge Simulations
Computational Engineering, Finance, and Science
2018-07-04 v1
Abstract
The simulation of electrical discharges has been attracting a great deal of attention. In such simulations, the electric field computation dominates the computational time. In this paper, we propose a fast tree algorithm that helps to reduce the time complexity from (from using direct summation) to . The implementation details are discussed and the time complexity is analyzed. A rigorous error estimation shows the error of the tree algorithm decays exponentially with the number of truncation terms and can be controlled adaptively. Numerical examples are presented to validate the accuracy and efficiency of the algorithm.
Cite
@article{arxiv.1710.05781,
title = {A Fast Tree Algorithm for Electric Field Calculation in Electrical Discharge Simulations},
author = {Chijie Zhuang and Yong Zhang and Xin Zhou and Rong Zeng and Jinliang He and Lei Liu},
journal= {arXiv preprint arXiv:1710.05781},
year = {2018}
}