IMEX‐DG Schemes for Advection‐Diffusion Problems using Term‐based or Domain‐based IMEX Splitting

IMEX partitioning may be based on a decomposition of the computational domain into two subgrids by implicitly discretizing unknowns smallest cells while explicit time stepping is applied to moderately sized elements. Alternatively, advection-diffusion splitting applies implicit discretization only viscous terms inviscid are discretized explicitly. Analytical investigations have shown that careful choice both specific scheme and particular DG approach yield an additional stability property such schemes resulting in step restrictions independent grid refinement. In this contribution, we will compare domain-based with respect efficiency.