u/ElectricalAd9946

I have some free time over the summer and looking to do some fem projects with python/Matlab. I'm mainly looking to import a mesh, (coordinate, connectivity) and writing my own solver.

I took a fem class this semester, and I know how to solve time dependent problems, and vector pdes. We didn't cover non-linear problems though and mainly used Lagrange polynomials as our basis functions.

Should I explore how meshing is done, and a non Lagrange basis? I think I'm primarily interested in thermal and fluid problems.