Year: 2011
Communications in Computational Physics, Vol. 9 (2011), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.060509.080609s
Communications in Computational Physics, Vol. 9 (2011), Iss. 3 : pp. 649–667
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19