NEMESIS Seminar
lundi 16 novembre 2026 à 10:00 - Salle 430
Hodayfa Labbi (NEMESIS workgroup, IMAG)
A quasi-norm for the Hybrid High order analysis of the p-Laplace problem
We introduce a discrete quasi-norm in the spirit of Barrett and Liu for a Hybrid High-Order (HHO) discretization of the $p$-Laplace problem, $p\\in(1,\\infty)$. Built from shifted N-functions evaluated on the gradient reconstructions and the high-order difference operators, it makes the discrete form monotone without any a priori estimate on the discrete solution. We prove quasi-norm error estimates under broken regularity assumptions on the solution.\r\nGoing back to the HHO-$W^{1,p}$ norm and comparing with the previous existing results, we prove for $1