Spectrally accurate Ewald summation for the Yukawa potential in two dimensions
Computational Engineering, Finance, and Science
2019-11-15 v1 Numerical Analysis
Numerical Analysis
Abstract
An Ewald decomposition of the two-dimensional Yukawa potential and its derivative is presented for both the periodic and the free-space case. These modified Bessel functions of the second kind of zeroth and first degrees are used e.g. when solving the modified Helmholtz equation using a boundary integral method. The spectral Ewald method is used to compute arising sums at O(N log N) cost for N source and target points. To facilitate parameter selection, truncation-error estimates are developed for both the real-space sum and the Fourier-space sum, and are shown to estimate the errors well.
Keywords
Cite
@article{arxiv.1911.04875,
title = {Spectrally accurate Ewald summation for the Yukawa potential in two dimensions},
author = {Sara Pålsson and Anna-Karin Tornberg},
journal= {arXiv preprint arXiv:1911.04875},
year = {2019}
}