68 citations · 127 across the 13 of their papers we have counts for
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A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
Aycil Cesmelioglu, Sander Rhebergen
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers…
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…
Hybridizable discontinuous Galerkin methods for the coupled Stokes--Biot problem
Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen
We present and analyze a hybridizable discontinuous Galerkin (HDG) finite element method for the coupled Stokes--Biot problem. Of particular interest is that the discrete velocitie…
A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem
Aycil Cesmelioglu, Dinh Dong Pham, Sander Rhebergen
We present a high-order hybridized discontinuous Galerkin (HDG) method for the fully coupled time-dependent Stokes-Darcy-transport problem where the fluid viscosity and source/sink…