Improved error estimates for hybrid high-order discretizations of Leray-Lions problems (Q2044080)

The authors derive and prove new error estimates for Hybrid High-Order (HHO) discretizations of Leray-Lions problems using the regularity assumption \(W^{1,p}\) with \(p\in (1,2]\). In particular, it is shown 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. Several numerical tests are presented to support the theoretical results.