Solving the Laplace Equation in weird domains

[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.)

 

[member 428835]

So I think this site has a good example of what I want to do:

https://www.wolfram.com/language/11...the-laplace-equation.html?product=mathematica

but notice the domain is a rectangle. I believe all I need to do is change the rectangle to the shape described above, but I have no clue how to do this. I'm thinking I can build the circular arc through the Disk function, linked below

https://reference.wolfram.com/language/ref/Disk.html

Any suggestions?