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math.NA2025
Preconditioning of a hybridizable discontinuous Galerkin method for Biot's consolidation model
Esteban Henríquez, Jeonghun J. Lee, Sander Rhebergen
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 dete…
math.NA2025
Parameter-robust preconditioning for hybridizable symmetric discretizations
Esteban Henriquez, Jeonghun J. Lee, Sander Rhebergen
Hybridizable discretizations allow for the elimination of local degrees-of-freedom leading to reduced linear systems. In this paper, we determine and analyse an approach to constru…
math.NA2025
A coupled HDG/DG method for porous media with conducting/sealing faults
Aycil Cesmelioglu, Miroslav Kuchta, Jeonghun J. Lee +1
We introduce and analyze a coupled hybridizable discontinuous Galerkin/discontinuous Galerkin (HDG/DG) method for porous media in which we allow fully and partly immersed faults, a…