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An implementation of finite elements to approximate solutions to the Helmholtz equation on the Sierpinski Gasket fractal

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differential-equations-on-fractals

An implementation of finite elements to approximate solutions to the Helmholtz equation on the Sierpinski Gasket fractal. This is based on a method developed in the paper "The Finite Element on the Sierpisnki Gasket" by Michael Gibbons, Arjun Raj, and Robert Strichartz.

You can run it in Google Colab!

https://colab.research.google.com/drive/1TBGW8f7loUoq58ovm3g0JpJjL7VDCQY-

References: The Finite Element on the Sierpisnki Gasket by Michael Gibbons, Arjun Raj, and Robert Strichartz and "Splines on Fractals" by Robert Strichartz and Michael Usher

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An implementation of finite elements to approximate solutions to the Helmholtz equation on the Sierpinski Gasket fractal

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