luiswirth / formoniq

Arbitrary Dimension Finite Element Exterior Calculus in Rust
0 stars 0 forks source link

Non-affine parametric finite elements #6

Open luiswirth opened 2 weeks ago

luiswirth commented 2 weeks ago

Besides affine transformations of reference elements, we should consider also supporting more transformations, like quadratic ones. This would require a more sophisticated geometry layer, that makes use of jacobians of the diffeomorphisms, since they are no longer linear functions with constant derivatives. See LehrFEMpp

luiswirth commented 2 weeks ago

It might be smart to store the coordinates of the simplicies then in a different manner. Maybe a geometry object like in LehrFEMpp is a smart move.