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# A fast spectral / difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries

@inproceedings{Lai2002AFS, title={A fast spectral / difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries}, author={Ming-Chih Lai}, year={2002} }

- Published 2002

A simple and efficient FFT-based fast direct solver for Poisson-type equations on 3D cylindrical and spherical geometries is presented. The solver relies on the truncated Fourier series expansion, where the differential equations of Fourier coefficients are solved using second-order finite difference discretizations without pole conditions. Three different boundary conditions (Dirichlet, Neumann and Robin conditions) can be handled without substantial differences.

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