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arXiv · 2012.05122

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

Daniele Antonio Di Pietro·Jérôme Droniou·André Harnist
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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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Daniele Antonio Di Pietro, Jérôme Droniou, André Harnist. 2022-01-09. Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems. https://doi.org/10.1007/s10092-021-00410-z

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