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.
@article{arxiv.2011.14018,
title = {HMG -- Homogeneous multigrid for HDG},
author = {Peipei Lu and Andreas Rupp and Guido Kanschat},
journal= {arXiv preprint arXiv:2011.14018},
year = {2021}
}