Homogeneous multigrid for embedded discontinuous Galerkin methods
Numerical Analysis
2022-07-04 v1 Numerical Analysis
Abstract
We introduce a homogeneous multigrid method in the sense that it uses the same embedded discontinuous Galerkin (EDG) discretization scheme for Poisson's equation on all levels. In particular, we use the injection operator developed in [LuRK2020] for HDG and prove optimal convergence of the method under the assumption of elliptic regularity. Numerical experiments underline our analytical findings.
Cite
@article{arxiv.2101.12645,
title = {Homogeneous multigrid for embedded discontinuous Galerkin methods},
author = {Peipei Lu and Andreas Rupp and Guido Kanschat},
journal= {arXiv preprint arXiv:2101.12645},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2011.14018