Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods
Copyright policy )Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods
ABSTRACTWe prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent. We use a weak version of elliptic regularity in our proofs. Numerical experiments confirm our theoretical results.
ddc:510, Iterative numerical methods for linear systems, skeleton methods, Skeleton methods, hybrid high-order methods, [MATH] Mathematics [math], Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, geometric multigrid, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 510, Homogeneous multigrid, homogeneous multigrid, FOS: Mathematics, Geometric multigrid, Mathematics - Numerical Analysis, Hybrid high-order methods, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
ddc:510, Iterative numerical methods for linear systems, skeleton methods, Skeleton methods, hybrid high-order methods, [MATH] Mathematics [math], Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, geometric multigrid, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 510, Homogeneous multigrid, homogeneous multigrid, FOS: Mathematics, Geometric multigrid, Mathematics - Numerical Analysis, Hybrid high-order methods, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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