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.