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Author

S. Rhebergen

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Open access Aug 2025

Preconditioning of a Hybridizable Discontinuous Galerkin Method for Biot’s Consolidation Model

We present a parameter-robust preconditioner for a hybridizable discontinuous Galerkin (HDG) discretization of a four-field formulation of Biot’s consolidation model. We first determine a parameter-robust preconditioner for the full discretization. HDG methods, however, allow for static condensation. We therefore apply...

Esteban Henr'iquez, Jeonghun J. Lee, S. Rhebergen · 2 citations
Open access Sep 2026

Preconditioning a Hybridizable Discontinuous Galerkin Method for Navier–Stokes at High Reynolds Number

Abstract. We introduce a preconditioner for a hybridizable discontinuous Galerkin discretization of the linearized Navier–Stokes equations at high Reynolds number. The preconditioner is based on an augmented Lagrangian (AL) approach of the full discretization. Unlike standard grad-div type augmentation, however, we co...

A. Lindsay, S. Rhebergen, B. Southworth · 0 citations

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