@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} }