# Solve Poisson equation

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 November 19, 2002, 11:23 Solve Poisson equation #1 Linfeng BI Guest   Posts: n/a HI,all I am trying to implement a Poisson solver(firstly 2D) using FFT. All boundaries are von Neumann. I employ a cosine FFT along x direction and then solve tridiagnal systems along y for each wave number K. But you know the matrix for K=0 is singular. While some articles say that it can be decided by the properties of the physical problem,but I do not know what the tricks are. Any comments are greatly appreciated! Linfeng

 November 19, 2002, 13:54 Re: Solve Poisson equation #2 Ben Houston Guest   Posts: n/a Try Jos Stam's paper on the topic: Jos Stam, "A Simple Fluid Solver based on the FFT", Journal of Graphics Tools Volume 6, Number 2, 2001, 43-52 Avaiable here: http://www.dgp.toronto.edu/people/st...earch/pub.html Cheers... -ben houston http://www.exocortex.org/ben

 November 20, 2002, 10:09 Re: Solve Poisson equation #3 Linfeng BI Guest   Posts: n/a The paper is interesting,but it says little about the FFT boundary treatment.Thank you,anyway. Linfeng

 November 20, 2002, 13:28 Re: Solve Poisson equation #4 Ben Houston Guest   Posts: n/a Well, there is some discussion as well in Numerical Recipes about FFT and boundary conditions. But its been a while since I've looked at it.

 November 21, 2002, 00:46 Re: Solve Poisson equation #5 Linfeng BI Guest   Posts: n/a Yeah!thanks,Ben.I read through the chapters there and got a much more clearer concept about it. And then, I made it! Sincerely,

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