Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods

Explore the connection between hybrid high-order (HHO) and hybridizable discontinuous Galerkin (HDG) methods in this 51-minute conference talk. Delve into the construction of HHO methods and their representation in mixed form, identifying the numerical flux for comparison with HDG methods. Discover how integrating HHO into the HDG framework introduces efficient local space choices and a novel numerical flux construction, ensuring optimal convergence orders for general shape-regular polyhedral element meshes. Examine numerical experiments comparing two of these methods, gaining insights into their performance and applications in solving diffusion problems.