FerriteCon 2025 Abdulazis Mohamed: Revisiting Adaptive Mesh Refinement that's not P4est

In this session, Abdulaziz revisits and extends the AMR work presented at last year’s conference, focusing on a refined algorithm where finer elements are superimposed on their parents instead of replacing them. This strategy eliminates the need for explicit continuity constraints such as hanging nodes, simplifying the handling of refined meshes. The algorithm also caches local element contributions to reduce assembly overhead, which is particularly advantageous for local time-stepping schemes in discontinuous Galerkin (DG) methods, where the block-diagonal mass matrix allows timesteps to be executed per element without global assembly. This talk is relevant for researchers and developers working on mesh adaptation, efficient finite element implementations, and DG schemes in Julia’s scientific computing ecosystem, and highlights a practical alternative to traditional AMR frameworks within Ferrite.jl workflows. Be sure to like, subscribe, and watch other presentations from FerriteCon 2025 for the latest advances in finite element methods with Julia. #FerriteCon2025 #Ferritejl #JuliaLang #AdaptiveMeshRefinement #AMR #DiscontinuousGalerkin Join the channel to support the Julia Language project and access awesome perks! https://www.youtube.com/channel/UC9IuUwwE2xdjQUT_LMLONoA/join For more info on the Julia Programming Language, follow us on Twitter: https://twitter.com/JuliaLanguage and consider sponsoring us on GitHub: https://github.com/sponsors/JuliaLang 00:00 Welcome! 00:10 Help us add time stamps or captions to this video! See the description for details. Want to help add timestamps to our YouTube videos to help with discoverability? Find out more here: https://github.com/JuliaCommunity/YouTubeVideoTimestamps Interested in improving the auto generated captions? Get involved here: https://github.com/JuliaCommunity/YouTubeVideoSubtitles