Contributed core enhancements to the gridap/Gridap.jl repository by implementing Witherden-Vincent quadrature rules for various geometric shapes, directly improving the accuracy and reliability of numerical integration within computational geometry workflows. Focused on updating the default simplex quadrature to align with these new rules, the work emphasized maintainability and correctness. Strengthened the testing framework for CellQuadrature, ensuring robust validation of integration routines. Leveraged Julia and expertise in numerical methods and testing to streamline integration logic and compress test coverage. These updates support higher-fidelity simulations and provide a more reliable foundation for downstream applications relying on precise numerical integration capabilities.