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2D Poisson Equation solver using Openframeworks.

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PoissonEq

2D Poisson Equation solver using Openframeworks.

Solved example

Differential Equation

  • Poisson & Laplace Equation

Algorithm

  • Left image is boundary condition space and right image is steady state space.
  • Poisson Equation's solution is steady state of 2d space in this case.
  • Differential equation is converted to difference equation for computer calculation.
  • Poisson difference equation is extracted from u(x,u) function's Taylor series(simple finite element method).

Dependency

  • OpenFrameworks 0.11.0
  • ofxCv
  • ofxOpenCv
  • XCode 11.1.x
  • OSX Mojave

Next Plan

  • Iterational Solution Animation using update() method.
  • Pseudo Coloring for grayscale.
  • Fast solver using FFT(DST).
  • Elapsed Time Display for solve.

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2D Poisson Equation solver using Openframeworks.

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