Solving the Laplace Equation in weird domains

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SUMMARY

The discussion focuses on solving the Laplace equation in non-standard domains, specifically a rectangle with a circular arc on top. The user seeks guidance on how to create this custom region using Wolfram Mathematica. They reference the documentation for solving partial differential equations and express the need to modify existing examples to fit their unique domain shape. The Disk function in Mathematica is suggested as a potential tool for constructing the circular arc.

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  • Explore the documentation for the Disk function in Wolfram Mathematica.
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member 428835
Hi PF!

I looked through the documentation on their website, but under the tab "Solve partial differential equations over arbitrarily shaped regions" I am redirected to a page that does not specify how to create a region. Any help is greatly appreciated.

Also, if it helps, the domain is a rectangle with a circular arc on the top (though the radius could be larger than half the rectangle's width, so it is a circular arc, not a semi-circle.)
 
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