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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| Hauptverfasser: | , , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
Sep 2025
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| In: |
Numerical methods for partial differential equations
Year: 2025, Jahrgang: 41, Heft: 5, Pages: 1-17 |
| ISSN: | 1098-2426 |
| DOI: | 10.1002/num.70023 |
| Online-Zugang: | 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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| Verfasserangaben: | Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp |
| Zusammenfassung: | 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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| Beschreibung: | Online veröffentlicht am 5. August 2025 Gesehen am 15.04.2026 |
| Beschreibung: | Online Resource |
| ISSN: | 1098-2426 |
| DOI: | 10.1002/num.70023 |