p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation

Abstract We propose a p -multilevel preconditioner for hybrid high-order (HHO) discretizations of the Stokes equation, numerically assess its performance on two variants method, and compare with classical discontinuous Galerkin scheme. An efficient implementation is proposed where coarse level operators are inherited using $$L^2$$ L 2 -orthogonal projections defined over mesh faces restriction fine grid performed recursively matrix-free. Both h - k -dependency investigated tackling two- three-dimensional problems standard meshes graded meshes. For HHO formulations, featuring or pressure, we study how combination -coarsening static condensation influences V-cycle iteration. In particular, different procedures considered pressure variant, resulting in global linear systems number unknowns matrix non-zero entries. Interestingly, show that efficiency solution strategy might be impacted by options case