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：我们证明了几何多重网格V循环在混合高阶（HHO）及其他不连续骨架方法中的一致收敛性。我们的结果推广了先前为HDG方法建立的结果，且我们所采用的多重网格方法使用了有界、收敛且一致的标准光滑器与局部求解器。在证明过程中，我们使用了椭圆正则性的弱版本。数值实验验证了我们的理论结果。