Songül Kaya

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All published works

Action	Title	Year	Authors
+	On an optimal control problem of the Leray-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e285" altimg="si3.svg"><mml:mi>α</mml:mi></mml:math> model	2023	Gülnur Haçat Aytekin Çıbık Fikriye Yılmaz Songül Kaya
+	Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization	2022	Gülnur Haçat Fikriye Yılmaz Aytekin Çıbık Songül Kaya
+	On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations.	2021	Mahir Demi̇r Aytekin Çıbık Songül Kaya
+	On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field	2021	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations	2021	Mahir Demi̇r Aytekin Çıbık Songül Kaya
+ PDF Chat	Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction	2020	Mustafa Aggul Songül Kaya
+	Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction	2020	Mustafa Aggul Songül Kaya
+ PDF Chat	An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows	2020	Mahir Demi̇r Songül Kaya
+ PDF Chat	A projection based variational multiscale method for a fluid–fluid interaction problem	2020	Mustafa Aggul Fatma G. Eroglu Songül Kaya Alexander E. Labovsky
+	Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations	2020	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable	2020	Dilek Erkmen Songül Kaya Aytekin Çıbık
+	LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS	2020	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction	2020	Mustafa Aggul Songül Kaya
+	An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows	2019	Mahir Demi̇r Songül Kaya
+	Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations.	2019	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations	2019	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows	2019	Mahir Demi̇r Songül Kaya
+	A family of second order time stepping methods for the Darcy–Brinkman equations	2018	Aytekin Çıbık Mahir Demi̇r Songül Kaya
+	A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations	2018	Aytekin Çıbık Mahir Demi̇r Songül Kaya
+	Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows	2018	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations	2018	Aytekin Çıbık Mahir Demi̇r Songül Kaya
+ PDF Chat	A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows	2017	Fatma G. Eroglu Songül Kaya Leo G. Rebholz
+ PDF Chat	On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems	2016	M. Akbas Songül Kaya Leo G. Rebholz
+	Finite element analysis of a projection-based stabilization method for the Darcy–Brinkman equations in double-diffusive convection	2012	Aytekin Çıbık Songül Kaya
+ PDF Chat	A projection-based stabilized finite element method for steady-state natural convection problem	2011	Aytekin Çıbık Songül Kaya
+ PDF Chat	A two-level variational multiscale method for convection-dominated convection–diffusion equations	2005	Volker John Songül Kaya William Layton
+	A Two-Level Variational Multiscale Method for Convection-Diusion Equations	2005	Volker John Songül Kaya William Layton

Common Coauthors

Coauthor	Papers Together
Aytekin Çıbık	16
Mahir Demi̇r	8
Fatma G. Eroglu	8
Mustafa Aggul	4
William Layton	2
Fikriye Yılmaz	2
Gülnur Haçat	2
Volker John	2
Leo G. Rebholz	2
M. Akbas	1
Dilek Erkmen	1
Alexander E. Labovsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	New development in freefem++	2012	Frédéric Hecht	12
+	A connection between subgrid scale eddy viscosity and mixed methods	2002	William Layton	10
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	9
+ PDF Chat	Stabilization of Galerkin approximations of transport equations by subgrid modeling	1999	Jean‐Luc Guermond	8
+ PDF Chat	A two-level variational multiscale method for convection-dominated convection–diffusion equations	2005	Volker John Songül Kaya William Layton	6
+ PDF Chat	On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems	2016	M. Akbas Songül Kaya Leo G. Rebholz	5
+ PDF Chat	A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows	2015	Naveed Ahmed Tomás Chacón Rebollo Volker John Samuele Rubino	5
+	Convergence of Extrapolated BDF2 Finite Element Schemes for Unsteady Penetrative Convection Model	2011	S. S. Ravindran	4
+	Time filters increase accuracy of the fully implicit method	2018	Ahmet Guzel William Layton	3
+	Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time	1986	John G. Heywood Rolf Rannacher	3
+	A higher-order Robert–Asselin type time filter	2013	Yong Li Cătălin Trenchea	3
+	Recent developments in IMEX methods with time filters for systems of evolution equations	2015	William Layton Yong Li Cătălin Trenchea	3
+	Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis	2012	William Layton Leo G. Rebholz	2
+	Defect-deferred correction method for the two-domain convection-dominated convection–diffusion problem	2017	Dilek Erkmen Alexander E. Labovsky	2
+ PDF Chat	Spectral viscosity approximations to multidimensional scalar conservation laws	1993	Gui‐Qiang Chen Qiang Du Eitan Tadmor	2
+	A family of second order time stepping methods for the Darcy–Brinkman equations	2018	Aytekin Çıbık Mahir Demi̇r Songül Kaya	2
+	IMPLICIT FOR LOCAL EFFECTS AND EXPLICIT FOR NONLOCAL EFFECTS IS UNCONDITIONALLY STABLE	2004	Mihai Anitescu Faranak Pahlevani William Layton	2
+	Approximation of the Long-term Dynamics of the Dynamical System Generated by the Two-dimensional Thermohydraulics Equations	2011	Florentina Tone	2
+ PDF Chat	Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations	2016	Timo Heister Maxim A. Olshanskii Leo G. Rebholz	2
+	An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection	2015	S. S. Ravindran	2
+	None	2000	Alok Dutt Leslie Greengard Vladimir Rokhlin	2
+	Constrained optimal control of Navier–Stokes flow by semismooth Newton methods	2003	Michael Ulbrich	2
+	Decoupled Time Stepping Methods for Fluid-Fluid Interaction	2012	Jeffrey M. Connors Jason S. Howell William Layton	2
+	A time-accurate, adaptive discretization for fluid flow problems	2018	Victor DeCaria William Layton Haiyun Zhao	2
+	Analysis and discretization of an optimal control problem for the time-periodic MHD equations	2005	Max Gunzburger Cătălin Trenchea	2
+ PDF Chat	Partitioned Time Stepping for a Parabolic Two Domain Problem	2009	Jeffrey M. Connors Jason S. Howell William Layton	2
+	On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations	2004	Max Gunzburger O. A. Ladyzhenskaya Janet Peterson	2
+	Subgridscale stabilization of time-dependent convection dominated diffusive transport	2006	Noel Heitmann	2
+	Analysis of the spectral vanishing method for periodic conservation laws	1989	Yvon Maday Eitan Tadmor	2
+	Optimality Conditions for Some Control Problems of Turbulent Flows	1995	Eduardo Casas	2
+	Optimal control of the unsteady Navier-Stokes equations	2006	Daniel Wachsmuth	2
+ PDF Chat	A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations	2013	Ross Ingram	2
+	Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations	2007	Yinnian He Weiwei Sun	2
+ PDF Chat	On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations	1982	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian	2
+	On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations	2006	Florentina Tone D. Wirosoetisno	2
+ PDF Chat	Analysis of the Spectral Vanishing Viscosity Method for Periodic Conservation Laws	1989	Yvon Maday Eitan Tadmor	2
+ PDF Chat	Second‐order sufficient optimality conditions for the optimal control of instationary Navier‐Stokes equations	2004	Fredi Tröltzsch Daniel Wachsmuth	2
+ PDF Chat	An efficient second order in time scheme for approximating long time statistical properties of the two dimensional Navier–Stokes equations	2012	Xiaoming Wang	2
+	Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations	2012	Sigal Gottlieb Florentina Tone C. Wang Xiaoming Wang D. Wirosoetisno	2
+	On the Long-Time H 2-Stability of the Implicit Euler Scheme for the 2D Magnetohydrodynamics Equations	2008	Florentina Tone	2
+ PDF Chat	Stable discretization of magnetohydrodynamics in bounded domains	2010	Jian‐Guo Liu Robert L. Pego	2
+ PDF Chat	Partially Implicit BDF2 Blends for Convection Dominated Flows	2001	Willem Hundsdorfer	2
+	Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem	2016	Yuhong Zhang Yanren Hou Shan Li	2
+ PDF Chat	Optimal control of the convection-diffusion equation using stabilized finite element methods	2007	Roland Becker Boris Vexler	1
+	A note on the importance of mass conservation in long-time stability of Navier–Stokes simulations using finite elements	2015	Mine Akbas Belenli Leo G. Rebholz Florentina Tone	1
+	Existence and nonuniqueness of rectangular solutions of the Bénard problem	1968	Paul H. Rabinowitz	1
+	Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations	1980	J. M. Varah	1
+	Characteristic‐based‐split (CBS) algorithm for incompressible flow problems with heat transfer	1998	Nicola Massarotti Perumal Nithiarasu O. C. Zienkiewicz	1
+	Natural Convection in a Vertical Porous Cavity: A Numerical Study for Brinkman-Extended Darcy Formulation	1987	Guy Lauriat V. Ramachandra Prasad	1
+	Sufficient second-order optimality conditions for convex control constraints	2006	Daniel Wachsmuth	1