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Learn about the framework for hybridization of mixed systems in MFEM through this 28-minute conference presentation from the fifth annual MFEM community workshop. Discover how LLNL's Jan Nikl introduces a framework that enables easy construction of mixed systems for problems spanning hydrodynamics, thermodynamics, electromagnetics, and other scientific disciplines. Explore the automatic elimination capabilities for discontinuous potentials or fluxes that reduce discrete system size, and understand the single-line hybridization procedure that weakly enforces continuity of total flux by reducing problems to discrete systems for trace variables on mesh skeletons. Examine the benefits of this reformulation including more efficient preconditioning, increased stability, and enhanced performance through multiple examples ranging from steady-state diffusion to time-resolved convection-diffusion problems. Review new extensions and features such as reconstruction of superconvergent quantities and support for systems of equations within the MFEM (Modular Finite Element Methods) project's high-order mathematical calculation framework for large-scale scientific simulations.
