I’m fairly new to PDE solving domain. Being overwhelmed with what julia offers GitHub - JuliaPDE/SurveyofPDEPackages: Survey of the packages of the Julia ecosystem for solving partial differential equations, I could decide on the best way to solve my simple 2d electrostatic problem with Dirichlet boundary conditions. I want to find voltage (or E field) inside a circular region with almost parallel plates. Voltage obeys Laplace’s equation with the boundary conditions drawn in the following picture.
A have looked at Ferrite.jl and it seemed like an overkill for my problem. I have looked at @ChrisRackauckas 's awesome tutorial Solving PDEs in Julia - Nextjournal, it helped but there were so many packages listed there.
My wishes are the following:
- Good accuracy, the plates would be barely tilted with respect to each other (maybe a fine mesh would be needed)
- No external program meshing, I’d like julia to do it (as the geometry is fairly simple)