22 citations · 31 across the 5 of their papers we have counts for
5 papers
Continuous Data Assimilation for the Double-Diffusive Natural Convection
Mine Akbas, Aytekin Cibik
In this study, we analyzed a continuous data assimilation scheme applied on a double-diffusive natural convection model. The algorithm is introduced with a first order backward Eul…
Improving accuracy in the Leray model for incompressible non-isothermal flows via adaptive deconvolution-based nonlinear filtering
Mine Akbas, Abigail Bowers
This paper considers a Leray regularization model of incompressible, non-isothermal fluid flows which uses nonlinear filtering based on indicator functions, and introduces an effic…
Modular grad-div stabilization for the incompressible non-isothermal fluid flows
Mine Akbas, Leo G. Rebholz
This paper considers a modular grad-div stabilization method for approximating solutions of the time-dependent Boussinesq model of non-isothermal flows. The proposed method adds a…
A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem
Mine Akbas, Thierry Gallouet, Almut Gassmann +2
A novel notion for constructing a well-balanced scheme - a gradient-robust scheme - is introduced and a showcase application for a steady compressible, isothermal Stokes equations…
The analogue of grad-div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes
Mine Akbas, Alexander Linke, Leo G. Rebholz +1
Grad-div stabilization is a classical remedy in conforming mixed finite element methods for incompressible flow problems, for mitigating velocity errors that are sometimes called p…