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Homogeneous multigrid method for HDG applied to the Stokes equation (2302.00121v1)
Published 31 Jan 2023 in math.NA and cs.NA
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.