We introduce a homogeneous multigrid method in the sense that it uses the same HDG discretization scheme for Poisson's equation on all levels. In particular, we construct a stable injection operator and prove optimal convergence of the method under the assumption of elliptic regularity. Numerical experiments underline our analytical findings.

翻译：我们引入了一种同质多电格方法,因为它在所有级别上都对Poisson的等式使用同样的HDG离散法。特别是,我们建立了一个稳定的注射操作员,并证明在假定椭圆规律性的情况下该方法的最佳趋同。 数字实验突出了我们的分析结果。