Volume 9, Issue 3
An FFT Based Fast Poisson Solver on Spherical Shells

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

Commun. Comput. Phys., 9 (2011), pp. 649-667.

Published online: 2011-03

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  • 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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@Article{CiCP-9-649, author = {}, title = {An FFT Based Fast Poisson Solver on Spherical Shells}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {3}, pages = {649--667}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.060509.080609s}, url = {http://global-sci.org/intro/article_detail/cicp/7515.html} }
TY - JOUR T1 - An FFT Based Fast Poisson Solver on Spherical Shells JO - Communications in Computational Physics VL - 3 SP - 649 EP - 667 PY - 2011 DA - 2011/03 SN - 9 DO - http://doi.org/10.4208/cicp.060509.080609s UR - https://global-sci.org/intro/article_detail/cicp/7515.html KW - AB -

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.

Yin-Liang Huang, Jian-Guo Liu & Wei-Cheng Wang. (2020). An FFT Based Fast Poisson Solver on Spherical Shells. Communications in Computational Physics. 9 (3). 649-667. doi:10.4208/cicp.060509.080609s
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