68 citations · 127 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier--Stokes equations
Keegan L. A. Kirk, Ayçıl Çeşmelioǧlu, Sander Rhebergen
We prove that a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations converges to a weak solution as the time step and mesh size tend t…
A mathematical model of the COVID-19 pandemic dynamics with dependent variable infection rate: Application to the Republic of Korea
Aycil Cesmelioglu, Kenneth L. Kuttler, Meir Shillor +1
This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work…
A compatible embedded-hybridized discontinuous Galerkin method for the Stokes--Darcy-transport problem
Aycil Cesmelioglu, Sander Rhebergen
We present a stability and error analysis of an embedded-hybridized discontinuous Galerkin (EDG-HDG) finite element method for coupled Stokes--Darcy flow and transport. The flow pr…
An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system
Aycil Cesmelioglu, Sander Rhebergen, Garth N. Wells
We introduce an embedded-hybridized discontinuous Galerkin (EDG-HDG) method for the coupled Stokes-Darcy system. This EDG-HDG method is a pointwise mass-conserving discretization r…
Analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains
Keegan L. A. Kirk, Tamas L. Horvath, Aycil Cesmelioglu +1
This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains. The analysis is b…
Analysis of the coupled Navier-Stokes/Biot problem
Aycil Cesmelioglu
We analyze a weak formulation of the coupled problem defining the interac- tion between a free fluid and a poroelastic structure. The problem is fully dynamic and is governed by th…