An FFT Based Fast Poisson Solver on Spherical Shells

Authors

  • Yin-Liang Huang, Jian-Guo Liu & Wei-Cheng Wang

DOI:

https://doi.org/10.4208/cicp.060509.080609s

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 differential operator. As a result, the Fast Fourier Transform can be applied to solve the Poisson equation with O(N3logN) operations. Numerical examples have confirmed the accuracy and robustness of the new scheme.

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Published

2011-03-05

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Issue

Vol. 9 No. 3 (2011)

Section

Articles

How to Cite

An FFT Based Fast Poisson Solver on Spherical Shells. (2011). Communications in Computational Physics, 9(3), 649-667. https://doi.org/10.4208/cicp.060509.080609s