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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 ∈ (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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03049154
Contributor : André Harnist <>
Submitted on : Wednesday, December 9, 2020 - 5:03:40 PM
Last modification on : Tuesday, December 15, 2020 - 3:32:15 AM

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  • HAL Id : hal-03049154, version 1

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Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist. Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. 2020. ⟨hal-03049154⟩

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