Leray-Lions问题混合高阶离散的改进误差估计
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
摘要：
我们得到了新的混合高阶（HHO）离散的Leray-Lions问题的误差估计，其中p在（1，2]中.具体来说，我们证明，根据退化的问题，收敛速度可能会在（k+1）（p-1）和（k+1）之间变化，与k表示的程度HHO逼近。这些政权相关的误差估计示出了一个完整的面板的数值实验。
英文摘要：
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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