Explore the implementation of data structures and algorithms for adaptive mesh refinement (AMR) in this 18-minute conference talk from FerriteCon 2024. Learn about an innovative approach using superposition rather than substitution, specifically designed for problems utilizing discontinuous Galerkin methods for local timestepping. Discover how this optimization technique enhances the refinement process by recalculating local matrices only for updated cells, effectively minimizing computational overhead and improving efficiency in numerical simulations.