NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSÄSSER VARIABLE. M Akbas, S Kaya, M Mohebujjaman, LG Rebholz International Journal of Numerical Analysis & Modeling 13 (1), 2016 | 26 | 2016 |
On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems M Akbas, S Kaya, LG Rebholz Numerical Methods for Partial Differential Equations 33 (4), 999-1017, 2017 | 25 | 2017 |
The analogue of grad–div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes M Akbas, A Linke, LG Rebholz, PW Schroeder Computer Methods in Applied Mechanics and Engineering 341, 917-938, 2018 | 24* | 2018 |
A note on the importance of mass conservation in long-time stability of Navier–Stokes simulations using finite elements MA Belenli, LG Rebholz, F Tone Applied Mathematics Letters 45, 98-102, 2015 | 21* | 2015 |
A subgrid stabilization finite element method for incompressible magnetohydrodynamics MA Belenli, S Kaya, LG Rebholz, NE Wilson International Journal of Computer Mathematics 90 (7), 1506-1523, 2013 | 18 | 2013 |
A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem M Akbas, T Gallouët, A Gaßmann, A Linke, C Merdon Computer Methods in Applied Mechanics and Engineering 367, 113069, 2020 | 10 | 2020 |
An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows MA Belenli, S Kaya, LG Rebholz Computational Methods in Applied Mathematics 15 (1), 1-20, 2015 | 9 | 2015 |
Optimal vorticity accuracy in an efficient velocity–vorticity method for the 2D Navier–Stokes equations M Akbas, LG Rebholz, C Zerfas Calcolo 55, 1-29, 2018 | 8 | 2018 |
Modular grad-div stabilization for the incompressible non-isothermal fluid flows M Akbas, LG Rebholz Applied Mathematics and Computation 393, 125748, 2021 | 5 | 2021 |
An adaptive time filter based finite element method for the velocity-vorticity-temperature model of the incompressible non-isothermal fluid flows M AKBAŞ Gazi University Journal of Science, 1-1, 2020 | 5 | 2020 |
High order algebraic splitting for magnetohydrodynamics simulation M Akbas, M Mohebujjaman, LG Rebholz, M Xiao Journal of Computational and Applied Mathematics 321, 128-142, 2017 | 3 | 2017 |
Improving accuracy in the Leray model for incompressible nonisothermal flows via adaptive deconvolution‐based nonlinear filtering M Akbaş, A Bowers Mathematical Methods in the Applied Sciences 44 (8), 6679-6699, 2021 | 2 | 2021 |
Continuous Data Assimilation for the Double-Diffusive Natural Convection M Akbas, A Cibik arXiv preprint arXiv:2008.02224, 2020 | 2 | 2020 |
Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow M Akbas, AE Diegel, LG Rebholz Computers & Mathematics with Applications 160, 30-45, 2024 | 1 | 2024 |
A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations M Akbas AIP Conference Proceedings 2334 (1), 2021 | 1 | 2021 |
Analysis of continuous data assimilation scheme for the Navier–Stokes equations using variational multiscale method G Haçat, M Akbas, A Çıbık Journal of Computational Science 66, 101914, 2023 | | 2023 |
Unconditional Long Time H-Stability of a Velocity-Vorticity-Temperature Scheme for the 2D-Boussinesq System M Akbas ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 12 (5), 1166-1195, 2020 | | 2020 |
On the long-time stability of finite element solutions of the navier-stokes equations in a rotating frame of reference M AKBAŞ Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 9 (2), 549-560, 2020 | | 2020 |
Numerical methods for multiphysics flow problems M Belenli Akbaş Middle East Technical University, 2016 | | 2016 |
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method M Akbas, S Kaya, L Rebholz Numerical Mathematics and Advanced Applications ENUMATH 2015, 115-122, 2016 | | 2016 |