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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Pietro, D.A.D., Droniou, J. & Harnist, A. Improved error estimates for Hybrid High-Order discretizations of Leray–Lions problems. Calcolo 58, 19 (2021). https://doi.org/10.1007/s10092-021-00410-z
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DOI: https://doi.org/10.1007/s10092-021-00410-z