4 papers · 2 filters
Hybridizable discontinuous Galerkin methods for poroelastic wave propagation with symmetric stress approximation
Jeonghun J. Lee, Manuel A. Sanchez
In this paper, we develop hybridized discontinuous Galerkin (HDG) methods for poroelastic wave equations. We first rewrite the governing equations to a first-order symmetric hyperb…
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…