6 papers · 1 filter
Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
Esteban Henríquez, Miroslav Kuchta, Jeonghun J. Lee +1
We propose parameter-robust preconditioners for the statically condensed linear system arising from a hybridizable discontinuous Galerkin discretization of the coupled Stokes--Darc…
Robust preconditioning for an HDG discretization of the time-dependent Stokes equations
Esteban Henríquez, Jeonghun J. Lee, Sander Rhebergen
We present parameter-robust preconditioners for linear systems that arise after applying static condensation to a hybridizable discontinuous Galerkin (HDG) discretization of the ti…
Error Analysis of the Explicit Splitting Scheme for Fluid-Poroelastic Structure Interaction Problems
Yifan Wang, Jeonghun Lee, Suncica Canic
We present a priori error analysis for a fully discrete, parallelizable, explicit loosely coupled scheme for the time-dependent Stokes-Biot problem. The method decouples the fluid…
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…
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…
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…