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 innovative choices for local spaces and a refined approach to numerical flux construction, ensuring optimal convergence rates for meshes with general shape-regular polyhedral elements. Examine numerical experiments comparing two of these methods, gaining insights into their performance and applications in solving diffusion problems.