An FFT based fast Poisson solver on spherical shells
Publication
, Journal Article
Huang, YL; Liu, JG; Wang, WC
Published in: Commun. Comput. Phy.
2011
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.
Duke Scholars
Published In
Commun. Comput. Phy.
Publication Date
2011
Volume
9
Start / End Page
649 / 667
Related Subject Headings
- Applied Mathematics
- 4601 Applied computing
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, Y. L., Liu, J. G., & Wang, W. C. (2011). An FFT based fast Poisson solver on spherical shells. Commun. Comput. Phy., 9, 649–667.
Huang, Y. L., J. G. Liu, and W. C. Wang. “An FFT based fast Poisson solver on spherical shells.” Commun. Comput. Phy. 9 (2011): 649–67.
Huang YL, Liu JG, Wang WC. An FFT based fast Poisson solver on spherical shells. Commun Comput Phy. 2011;9:649–67.
Huang, Y. L., et al. “An FFT based fast Poisson solver on spherical shells.” Commun. Comput. Phy., vol. 9, 2011, pp. 649–67.
Huang YL, Liu JG, Wang WC. An FFT based fast Poisson solver on spherical shells. Commun Comput Phy. 2011;9:649–667.
Published In
Commun. Comput. Phy.
Publication Date
2011
Volume
9
Start / End Page
649 / 667
Related Subject Headings
- Applied Mathematics
- 4601 Applied computing