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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

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MLA
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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