2000 character limit reached
Spectrally accurate Ewald summation for the Yukawa potential in two dimensions (1911.04875v1)
Published 12 Nov 2019 in cs.CE, cs.NA, and math.NA
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.