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A posteriori error analysis of a space-time hybridizable discontinuous Galerkin method for the advection-diffusion problem
Yuan Wang, Sander Rhebergen
We present and analyze an a posteriori error estimator for a space-time hybridizable discontinuous Galerkin discretization of the time-dependent advection-diffusion problem. The re…
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen
In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interf…
A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem
Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen +1
We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow i…
Space-time hybridizable discontinuous Galerkin method for advection-diffusion on deforming domains: The advection-dominated regime
Yuan Wang, Sander Rhebergen
We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation on deforming domains. We prove stability of the discreti…
Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot's consolidation model
Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen
We present an embedded-hybridizable discontinuous Galerkin finite element method for the total pressure formulation of the quasi-static poroelasticity model. Although the displacem…