A matrix‐free macro‐element variant of the hybridized discontinuous Galerkin method

We investigate a macro-element variant of the hybridized discontinuous Galerkin (HDG) method, using patches standard simplicial elements that can have non-matching interfaces. Coupled via HDG technique, our method enables local refinement by uniform subdivision each macro-element. By enforcing one spatial discretization for all macro-elements, we arrive at problems per are embarrassingly parallel, yet well balanced. Therefore, scales efficiently to n-node clusters and be tailored available hardware adjusting problem size capacity single node, while still moderate polynomial orders such as quadratics or cubics. Increasing means simultaneously decreasing, in relative terms, global size, hence effectively limiting proliferation degrees freedom. The is solved matrix-free iterative technique also heavily relies on operations. discuss advantages limitations an advection-diffusion model problem.