5 papers
Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
Esteban HenrÃquez, 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 HenrÃquez, 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…
An unfitted HDG method for a distributed optimal convection-diffusion control problem
Esteban HenrÃquez, Manuel Solano
We analyze a high order unfitted hybridizable discontinuous Galerkin (HDG) method for an optimal control problem governed by a convection-diffusion equation posed in a domain with…
An unfitted HDG discretization for a model problem in shape optimization
Esteban HenrÃquez, Tonatiuh Sánchez-Vizuet, Manuel Solano
We apply an unfitted HDG discretization to a model problem in shape optimization. The method proposed uses a fixed, shape regular, non-geometry conforming mesh and a high order tra…
Preconditioning of a hybridizable discontinuous Galerkin method for Biot's consolidation model
Esteban HenrÃquez, 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…