FerriteCon 2024 Abdulaziz Mohamed: Efficient adaptive mesh refinement

This presentation explores the implementation of data structures and algorithms for adaptive mesh refinement (AMR) using superposition rather than substitution, specifically targeting problems that utilize discontinuous Galerkin methods for local timestepping. The approach optimizes the refinement process by recalculating local matrices only for updated cells, thereby minimizing overhead. 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