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Homogeneous multigrid for hybrid discretizations: application to HHO methods

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, conver...

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Bibliographic Details
Main Authors: Di Pietro, Daniele Antonio (Author) , Dong, Zhaonan (Author) , Kanschat, Guido (Author) , Matalon, Pierre (Author) , Rupp, Andreas (Author)
Format: Article (Journal)
Language:English
Published: Sep 2025
In: Numerical methods for partial differential equations
Year: 2025, Volume: 41, Issue: 5, Pages: 1-17
ISSN:1098-2426
DOI:10.1002/num.70023
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1002/num.70023
Verlag, kostenfrei, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/num.70023
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Author Notes:Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
Description
Summary: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.
Item Description:Online veröffentlicht am 5. August 2025
Gesehen am 15.04.2026
Physical Description:Online Resource
ISSN:1098-2426
DOI:10.1002/num.70023

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