A Fast Poisson Solver of Arbitrary Order Accuracy in Rectangular Regions

@article{Averbuch1998AFP,
  title={A Fast Poisson Solver of Arbitrary Order Accuracy in Rectangular Regions},
  author={Amir Averbuch and Moshe Israeli and Lev Vozovoi},
  journal={SIAM J. Scientific Computing},
  year={1998},
  volume={19},
  pages={933-952}
}
In this paper we propose a direct method for the solution of the Poisson equation in rectangular regions. It has an arbitrary order accuracy and low CPU requirements which makes it practical for treating large-scale problems. The method is based on a pseudospectral Fourier approximation and a polynomial subtraction technique. Fast convergence of the Fourier series is achieved by removing the discontinuities at the corner points using polynomial subtraction functions. These functions have the… CONTINUE READING
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