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About

This repository contains optimal complexity spectrally-accurate Poisson solvers on the rectangle, cylinder, solid sphere, and cube. The code accompanies the paper:

  • [1] Daniel Fortunato and Alex Townsend, Fast Poisson solvers for spectral methods, arxiv:1710.11259, to appear in IMA J. Numer. Anal.

Getting started

To use the MATLAB code, first run code/setup.m. The Poisson solvers are:

  • poisson_rectangle.m
  • poisson_cylinder.m
  • poisson_solid_sphere.m
  • poisson_cube.m

Examples can be found in the code/tests directory. All figures in the paper can be generated by running makeFigures.m.

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⚡️ Fast Poisson solvers for spectral methods

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