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Homogeneous multigrid for hybrid discretizations: application to HHO methods
Article de revue   Open Access   Avec comité de lecture

Homogeneous multigrid for hybrid discretizations: application to HHO methods

Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon et Andreas Rupp
Numerical Methods for Partial Differential Equations, Vol.41(5)
07/08/2025

Résumé

Skeleton methods Hybrid high-order methods Homogeneous multigrid Geometric multigrid 2010 Mathematics Subject Classification. 65F10, 65N30, 65N50
We 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.

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