Publications [#246904] of Jian-Guo Liu

Papers Published

1. Huang, YL; Liu, JG; Wang, WC, An FFT based fast Poisson solver on spherical shells, Commun. Comput. Phy., vol. 9 no. 3 (2011), pp. 649-667, Global Science Press, ISSN 1815-2406
   (last updated on 2024/04/23)

   Abstract:
   We present a fast Poisson solver on spherical shells. With a special change of variable, the radial part of the Laplacian transforms to a constant coefficient differ- ential operator. As a result, the Fast Fourier Transform can be applied to solve the Poisson equation with O(N^3 logN) operations. Numerical examples have confirmed the accuracy and robustness of the new scheme.