Worked on the firedrakeproject/fiat repository to refactor the instantiation logic for MixedElement within the BrokenElement class, focusing on improving both performance and code readability. The approach involved adopting a map-based structure in Python, which streamlined the instantiation path and reduced runtime overhead. This object-oriented refactor did not introduce user-facing changes but enhanced maintainability, making future enhancements and debugging more efficient for contributors. Collaboration with a co-author ensured thorough code review and quality. The work demonstrates depth in Python and object-oriented programming, addressing internal complexity and enabling faster, more reliable development of finite element assembly features going forward.