Homogeneous multigrid for hybrid discretizations: application to HHO methods
Numerical Analysis
2024-04-11 v2 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2403.15858,
title = {Homogeneous multigrid for hybrid discretizations: application to HHO methods},
author = {Daniele A. Di Pietro and Zhaonan Dong and Guido Kanschat and Pierre Matalon and Andreas Rupp},
journal= {arXiv preprint arXiv:2403.15858},
year = {2024}
}