3 papers
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…
math.NA2023
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…
math.NA2023
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…