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Problem description

This solution focuses on solving heat transfer equation solved equation

The image bellow shows heat-map generated based on found function. solved equation This code can be easily changed to suit many more examples.

Used modules:

  • PolygonOps
    Used for point in concave polygon detection while building mesh.
  • ForwardDiff
    Used for AD in order to increase precision of derivative based calculations.
  • HCubature
    Used for multi-dimensional adaptive integration
  • Plots
    Used for plotting heat-map

Used algorithms:

Running the program for the first time

You have to install all required dependencies. open julia and type
] activate .
] instantiate