Homogeneous multigrid method for HDG applied to the Stokes equation
Numerical Analysis
2023-02-02 v1 Numerical Analysis
Abstract
We propose a multigrid method to solve the linear system of equations arising from a hybrid discontinuous Galerkin (in particular, a single face hybridizable, a hybrid Raviart--Thomas, or a hybrid Brezzi--Douglas--Marini) discretization of a Stokes problem. Our analysis is centered around the augmented Lagrangian approach and we prove uniform convergence in this setting. Numerical experiments underline our analytical findings.
Keywords
Cite
@article{arxiv.2302.00121,
title = {Homogeneous multigrid method for HDG applied to the Stokes equation},
author = {Peipei Lu and Wei Wang and Guido Kanschat and Andreas Rupp},
journal= {arXiv preprint arXiv:2302.00121},
year = {2023}
}