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01-06-2021

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

Authors: Daniele A. Di Pietro, Jérôme Droniou, André Harnist

Published in: Calcolo | Issue 2/2021

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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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Title: Improved error estimates for Hybrid High-Order discretizations of Leray–Lions problems
Authors: Daniele A. Di Pietro
Jérôme Droniou
André Harnist
Publication date: 01-06-2021
Publisher: Springer International Publishing
Published in: Calcolo / Issue 2/2021
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-021-00410-z

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

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