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luiswirth / formoniq

Finite Element Exterior Calculus on Coordinate-Free Simplicial Manifolds in Rust
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Non-affine parametric finite elements #6

Closed luiswirth closed 1 month ago

luiswirth commented 5 months 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 5 months 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.

luiswirth commented 1 month ago

this is a possible, but big future extension. closing for now