Hybridization of Convection-Diffusion Systems in MFEM

Watch a technical presentation from the 2024 MFEM Workshop exploring the hybridization technique for convection-diffusion systems in computational mathematics. Learn how this innovative approach addresses computational cost and preconditioning challenges in mixed formulation problems, particularly near steady state conditions. Discover a new framework that enables single-line hybridization, effectively reducing complex problems to face traces of total flux for more efficient processing. Explore practical code examples demonstrating implementation, including support for non-linear convection through action-based operations. Gain insights into how this mathematical advancement enhances the capabilities of the Modular Finite Element Methods (MFEM) project, an open-source initiative that provides high-order mathematical calculations for large-scale scientific simulations. Presented by Jan Nikl from Lawrence Livermore National Laboratory, this talk offers valuable knowledge for researchers and developers working with partial differential equations in scientific computing applications.