Much of the code to do actual finite element computations lives in this backend. The idea here is that the physics is all seperate and more descriptive than the backend. Further, we could, in principal swap out to another finite element backend (e.g. deal.II) without messing up stuff outside of this backend. Note LLM's made signifigant contributions to this module
LLMs (ChatGPT6 astra max and Claude Opus 5.5 medium) made signifigant contributions to this module. All LLM written code has been read over and verified.
