Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
Numerical Analysis
2022-01-11 v3 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2012.05122,
title = {Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems},
author = {Daniele Antonio Di Pietro and Jérôme Droniou and André Harnist},
journal= {arXiv preprint arXiv:2012.05122},
year = {2022}
}
Comments
20 pages, 4 figures, 4 tables