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Cahn-Hilliard

Numerical solutions of Cahn-Hilliard and Allen-Cahn equations on various 1-D and 2-D domains. Two considerably different approaches implemented:

  1. Finite Element Method for solutions on irregular domains, implemented in FreeFEM++;
  2. Discrete Cosine Transform for solutions on rectangular 1-D and 2-D domains, implemented in Matlab.

For mathematical background, derivations and findings see notes/ch.tex.

This is my ancient research code (2006-2007), recently (2014) taken over by others at ICM UW.

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Numerical solutions of Cahn-Hilliard equation on various domains

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