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}
}
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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