We prove the uniform convergence of the geometric multigrid V-cycle for hybrid high-order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent. We use a weak version of elliptic regularity in our proofs. Numerical experiments confirm our theoretical results.

翻译：摘要：我们证明了几何多网格V循环对混合高阶（HHO）及其他间断骨架方法的均匀收敛性。该结果推广了先前针对HDG方法建立的结论，且我们的多网格方法采用有界、收敛且一致的标准光滑子与局部求解器。在证明中我们使用了椭圆正则性的弱形式。数值实验验证了理论结果。