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arXiv · 2302.00121

Homogeneous multigrid method for HDG applied to the Stokes equation

Peipei Lu·Wei Wang·Guido Kanschat·Andreas Rupp
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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.

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Peipei Lu, Wei Wang, Guido Kanschat, Andreas Rupp. 2023-01-31. Homogeneous multigrid method for HDG applied to the Stokes equation. https://arxiv.org/abs/2302.00121

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