A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
Journal
IMA Journal of Numerical Analysis
Journal Volume
22
Journal Issue
4
Pages
537-548
Date Issued
2002
Author(s)
Abstract
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.
Type
journal article