# Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems

Abstract : We derive novel error estimates for Hybrid High-Order (HHO) discretizations of Leray-Lions problems set in $W^{1, p}$ with $p\in(1, 2]$. Specifically, we prove that, depending on the degeneracy of the problem, the convergence rate may vary between $(k + 1)(p − 1)$ and $(k + 1)$, with $k$ denoting the degree of the HHO approximation. These regime-dependent error estimates are illustrated by a complete panel of numerical experiments.
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Journal articles

https://hal.archives-ouvertes.fr/hal-03049154
Contributor : André Harnist Connect in order to contact the contributor
Submitted on : Sunday, January 9, 2022 - 4:19:05 PM
Last modification on : Thursday, May 19, 2022 - 2:56:06 PM

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### Citation

Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist. Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. Calcolo, Springer Verlag, 2021, 58 (19), ⟨10.1007/s10092-021-00410-z⟩. ⟨hal-03049154v3⟩

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