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An FFT based fast poisson solver on spherical shells
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An FFT based fast poisson solver on spherical shells

Yin-Liang Huang, Jian-Guo Liu 和 Wei-Cheng Wang
Communications in Computational Physics, 卷.9(3), 頁碼.649-667
03/2011
DOI: https://doi.org/10.4208/cicp.060509.080609s

摘要

Bernoulli numbers Error estimate Euler-Maclaurin formula Fast diagonalization FFT High order accuracy Poisson equation Spectral-finite difference method Spherical coordinate Trapezoidal rule Physics and Astronomy (miscellaneous)
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 differential operator. As a result, the Fast fourier Transform can be applied to solve the Poisson equation with O(N 3 log N) operations. Numerical examples have confirmed the accuracy and robustness of the new scheme. © 2011 Global-Science Press.

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