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Math @ Duke
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Publications [#184177] of Jian-Guo Liu
Papers Published
- Y.-L. Huang, J.-G. Liu and W.-C. Wang, An FFT based fast Poisson solver on spherical shells,
Commun. Comput. Phy., vol. 9
(2011),
pp. 649-667
(last updated on 2010/12/15)
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.
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