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Journal Articles
- 2024
[j16]Gülnur Haçat, Aytekin Çibik
, Fikriye Yilmaz, Songül Kaya:
On an optimal control problem of the Leray-α model. J. Comput. Appl. Math. 436: 115419 (2024)- 2023
- [j15]Aziz Takhirov, Aytekin Çibik, Fatma G. Eroglu, Songül Kaya:
An Improved Arrow-Hurwicz Method for the Steady-State Navier-Stokes Equations. J. Sci. Comput. 96(2): 52 (2023) - 2022
- [j14]Gülnur Haçat, Fikriye Yilmaz, Aytekin Çibik, Songül Kaya:
Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization. Appl. Math. Comput. 430: 127240 (2022) - 2021
- [j13]Aytekin Cibik, Fatma G. Eroglu, Songül Kaya:
On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field. Numer. Algorithms 88(1): 475-498 (2021) - 2020
- [j12]Dilek Erkmen, Songul Kaya, Aytekin Cibik:
A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable. J. Comput. Appl. Math. 371: 112694 (2020) - [j11]Aytekin Cibik, Fatma G. Eroglu, Songül Kaya:
Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations. J. Sci. Comput. 82(2): 38 (2020) - 2019
- [j10]Mustafa Aggul, Songul Kaya, Alexander E. Labovsky:
Two approaches to creating a turbulence model with increased temporal accuracy. Appl. Math. Comput. 358: 25-36 (2019) - [j9]Fatma G. Eroglu, Songul Kaya, Leo G. Rebholz:
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. J. Num. Math. 27(3): 123-139 (2019) - 2015
- [j8]Mine Akbas Belenli, Songül Kaya, Leo G. Rebholz:
An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows. Comput. Methods Appl. Math. 15(1): 1-20 (2015) - [j7]Nan Jiang, Songul Kaya, William J. Layton:
Analysis of Model Variance for Ensemble Based Turbulence Modeling. Comput. Methods Appl. Math. 15(2): 173-188 (2015) - 2014
- [j6]Songül Kaya, Carolina C. Manica, Leo G. Rebholz:
On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Appl. Math. Comput. 246: 23-38 (2014) - 2013
- [j5]Mine Akbas Belenli, Songül Kaya, Leo G. Rebholz, Nicholas E. Wilson:
A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Int. J. Comput. Math. 90(7): 1506-1523 (2013) - 2008
- [j4]Volker John, Songul Kaya:
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Adv. Comput. Math. 28(1): 43-61 (2008) - 2006
- [j3]Songul Kaya, William J. Layton, Beatrice Riviere:
Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations. SIAM J. Numer. Anal. 44(4): 1639-1654 (2006) - 2005
- [j2]Songul Kaya, Beatrice Riviere:
A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. 43(4): 1572-1595 (2005) - [j1]Volker John, Songul Kaya:
A Finite Element Variational Multiscale Method for the Navier-Stokes Equations. SIAM J. Sci. Comput. 26(5): 1485-1503 (2005)
Conference and Workshop Papers
- 2019
- [c2]Medine Demir, Songül Kaya:
Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method. ENUMATH 2019: 293-301 - 2015
- [c1]Mine Akbas, Songul Kaya, Leo G. Rebholz:
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method. ENUMATH 2015: 115-122
Informal and Other Publications
- 2021
- [i5]Medine Demir, Aytekin Çibik, Songül Kaya:
On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations. CoRR abs/2106.04949 (2021) - 2020
- [i4]Mustafa Aggul, Songül Kaya:
Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction. CoRR abs/2006.00537 (2020) - 2019
- [i3]Aytekin Cibik, Fatma G. Eroglu, Songul Kaya:
Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations. CoRR abs/1906.07922 (2019) - [i2]Mustafa Aggul, Fatma G. Eroglu, Songül Kaya, Alexander E. Labovsky:
A projection based Variational Multiscale Method for Atmosphere-Ocean Interaction. CoRR abs/1910.10789 (2019) - [i1]Medine Demir, Songül Kaya:
An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. CoRR abs/1910.14416 (2019)
Coauthor Index
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