Edit Profile (opens in new tab) Kaya, Songul Compute Distance To: Compute Author ID: kaya.songul Published as: Kaya, Songul; Kaya, Songül; Kaya, S. more...less External Links: MGP Documents Indexed: 34 Publications since 1999 Co-Authors: 20 Co-Authors with 32 Joint Publications 284 Co-Co-Authors all top 5 Co-Authors 0 single-authored 9 Çibik, Aytekin Bayram 8 Rebholz, Leo G. 6 Eroglu, Fatma G. 5 John, Volker 4 Demir, Medine 3 Aggul, Mustafa 3 Akbas, Mine 3 Layton, William J. 3 Rivière, Beatrice M. 2 Belenli, Mine Akbas 2 Labovsky, Alexander E. 2 Manica, Carolina Cardoso 1 Aoki, Sinya 1 Erkmen, Dilek 1 Fukugita, Masataka 1 Haçat, Gülnur 1 Hashimoto, Shoji 1 Ishikawa, Ken-Ichi 1 Ishizuka, N. 1 Jiang, Nan 1 Kindl, Adela 1 Kuramashi, Yoshinobu 1 Mohebujjaman, Muhammad 1 Novo, Julia 1 Onogi, Tetsuya 1 Tominaga, Shin-ichi 1 Tsutsui, N. 1 Ukawa, Akira 1 Wacher, Abigail 1 Wilson, Nicholas E. 1 Yilmaz, Fikriye Nuray 1 Yoshié, Tomoteru all top 5 Serials 4 Journal of Mathematical Analysis and Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Applied Mathematics and Computation 3 Applied Numerical Mathematics 3 International Journal of Numerical Analysis and Modeling 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Computational Methods in Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Scientific Computing 1 Nuclear Physics. B. Proceedings Supplements 1 Advances in Computational Mathematics 1 Journal of Numerical Mathematics all top 5 Fields 31 Fluid mechanics (76-XX) 28 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 537 times in 313 Documents Cited by ▼ Year ▼ A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 107 2005 A projection-based stabilized finite element method for steady-state natural convection problem. Zbl 1331.76066Çıbık, Aytekin; Kaya, Songül 57 2011 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 56 2006 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029Kaya, Songul; Layton, William; Rivière, Béatrice 50 2006 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034Kaya, Songul; Rivière, Béatrice 45 2006 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 41 2008 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 24 2008 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026Kaya, Songul; Rivière, Béatrice 22 2005 Convergence analysis of the finite element method for a fundamental model in turbulence. Zbl 1252.76043Kaya, S.; Manica, C. C. 19 2012 Analysis of model variance for ensemble based turbulence modeling. Zbl 1311.76033Jiang, Nan; Kaya, Songul; Layton, William 19 2015 Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection. Zbl 1344.76050Çıbık, Aytekin; Kaya, Songül 14 2013 Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G. 13 2016 On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems. Zbl 1439.76043Akbas, M.; Kaya, S.; Rebholz, L. G. 11 2017 A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Zbl 1452.76265Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.; Wilson, Nicholas E. 10 2013 Two approaches to creating a turbulence model with increased temporal accuracy. Zbl 1428.76045Aggul, Mustafa; Kaya, Songul; Labovsky, Alexander E. 7 2019 On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Zbl 1338.76086Kaya, Songul; Manica, Carolina C.; Rebholz, Leo G. 6 2014 A projection based variational multiscale method for a fluid-fluid interaction problem. Zbl 1442.76058Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül; Labovsky, Alexander E. 6 2020 A family of second order time stepping methods for the Darcy-Brinkman equations. Zbl 1432.76155Çıbık, Aytekin; Demir, Medine; Kaya, Songul 5 2019 An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows. Zbl 1309.76122Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G. 5 2015 A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable. Zbl 1440.65134Erkmen, Dilek; Kaya, Songul; Çıbık, Aytekin 5 2020 Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. Zbl 1457.76095Aggul, Mustafa; Kaya, Songül 4 2021 A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows. Zbl 1439.76065Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 4 2017 POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 3 2019 Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul 1 2020 Aggregation of microglia in 2D with string gradient weighted moving finite elements. Zbl 1271.92019Wacher, A.; Kaja, S. 1 2013 Phase structure of lattice QCD at finite temperature for \(2+1\) flavors of Kogut-Susskind quarks. Zbl 1051.81639Aoki, S.; Fukugita, M.; Hashimoto, S.; Ishikawa, K.-I.; Ishizuka, N.; Iwasaki, Y.; Kanaya, K.; Kaneda, T.; Kaya, S.; Kuramashi, Y.; Okawa, M.; Onogi, T.; Tominaga, S.; Tsutsui, N.; Ukawa, A.; Yamada, N.; Yoshié, T. 1 1999 An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. Zbl 1442.65359Demir, Medine; Kaya, Songül 1 2020 Analysis of second order time filtered backward Euler method for MHD equations. Zbl 1441.76135Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül 1 2020 On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field. Zbl 1471.76044Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül 1 2021 Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. Zbl 1457.76095Aggul, Mustafa; Kaya, Songül 4 2021 On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field. Zbl 1471.76044Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül 1 2021 A projection based variational multiscale method for a fluid-fluid interaction problem. Zbl 1442.76058Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül; Labovsky, Alexander E. 6 2020 A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable. Zbl 1440.65134Erkmen, Dilek; Kaya, Songul; Çıbık, Aytekin 5 2020 Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul 1 2020 An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. Zbl 1442.65359Demir, Medine; Kaya, Songül 1 2020 Analysis of second order time filtered backward Euler method for MHD equations. Zbl 1441.76135Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül 1 2020 Two approaches to creating a turbulence model with increased temporal accuracy. Zbl 1428.76045Aggul, Mustafa; Kaya, Songul; Labovsky, Alexander E. 7 2019 A family of second order time stepping methods for the Darcy-Brinkman equations. Zbl 1432.76155Çıbık, Aytekin; Demir, Medine; Kaya, Songul 5 2019 POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 3 2019 On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems. Zbl 1439.76043Akbas, M.; Kaya, S.; Rebholz, L. G. 11 2017 A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows. Zbl 1439.76065Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 4 2017 Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G. 13 2016 Analysis of model variance for ensemble based turbulence modeling. Zbl 1311.76033Jiang, Nan; Kaya, Songul; Layton, William 19 2015 An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows. Zbl 1309.76122Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G. 5 2015 On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions. Zbl 1338.76086Kaya, Songul; Manica, Carolina C.; Rebholz, Leo G. 6 2014 Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection. Zbl 1344.76050Çıbık, Aytekin; Kaya, Songül 14 2013 A subgrid stabilization finite element method for incompressible magnetohydrodynamics. Zbl 1452.76265Belenli, Mine A.; Kaya, Songül; Rebholz, Leo G.; Wilson, Nicholas E. 10 2013 Aggregation of microglia in 2D with string gradient weighted moving finite elements. Zbl 1271.92019Wacher, A.; Kaja, S. 1 2013 Convergence analysis of the finite element method for a fundamental model in turbulence. Zbl 1252.76043Kaya, S.; Manica, C. C. 19 2012 A projection-based stabilized finite element method for steady-state natural convection problem. Zbl 1331.76066Çıbık, Aytekin; Kaya, Songül 57 2011 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 41 2008 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 24 2008 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 56 2006 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029Kaya, Songul; Layton, William; Rivière, Béatrice 50 2006 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034Kaya, Songul; Rivière, Béatrice 45 2006 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 107 2005 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026Kaya, Songul; Rivière, Béatrice 22 2005 Phase structure of lattice QCD at finite temperature for \(2+1\) flavors of Kogut-Susskind quarks. Zbl 1051.81639Aoki, S.; Fukugita, M.; Hashimoto, S.; Ishikawa, K.-I.; Ishizuka, N.; Iwasaki, Y.; Kanaya, K.; Kaneda, T.; Kaya, S.; Kuramashi, Y.; Okawa, M.; Onogi, T.; Tominaga, S.; Tsutsui, N.; Ukawa, A.; Yamada, N.; Yoshié, T. 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 370 Authors 19 Kaya, Songul 18 Rebholz, Leo G. 17 Shang, Yueqiang 14 Huang, Pengzhan 13 He, Yinnian 13 John, Volker 13 Zhang, Tong 12 Hou, Yanren 12 Jiang, Nan 10 Feng, Xinlong 10 Gravemeier, Volker 10 Zheng, Haibiao 9 Çibik, Aytekin Bayram 9 Labovsky, Alexander E. 9 Layton, William J. 9 Oyarzúa, Ricardo 8 Aggul, Mustafa 7 Colmenares, Eligio 7 Wang, Zhu 6 Feng, Minfu 6 Gatica, Gabriel N. 6 Rubino, Samuele 6 Wall, Wolfgang A. 6 Yang, Yunbo 5 An, Rong 5 Burman, Erik 5 Dunca, Argus Adrian 5 Eroglu, Fatma G. 5 Iliescu, Traian 5 Jiang, Yaolin 5 Linke, Alexander 5 Manica, Carolina Cardoso 5 Neda, Monika 5 Qian, Yanxia 5 Song, Lunji 5 Wang, Kun 5 Yang, Huanhuan 5 Zhang, Yunzhang 4 Ahmed, Naveed 4 Chacón Rebollo, Tomás 4 Chen, Gang 4 Gunzburger, Max D. 4 Hou, Yuanyuan 4 Kindl, Adela 4 Li, Jian 4 Li, Yuan 4 Lube, Gert 4 Mei, Liquan 4 Mohebujjaman, Muhammad 4 Qin, Jin 4 Ruiz-Baier, Ricardo 4 Shi, Feng 4 Si, Zhiyong 4 Yan, Wenjing 4 Yilmaz, Fikriye Nuray 3 Almeida, Regina C. 3 Connors, Jeffrey Mark 3 Demir, Medine 3 Erkmen, Dilek 3 Gee, Michael W. 3 Gómez Mármol, Macarena 3 He, Xiaoming 3 Kuzmin, Dmitri 3 Liu, Qingfang 3 Rivière, Beatrice M. 3 Schwiebert, Kyle J. 3 Song, Lina 3 Su, Haiyan 3 Xie, Cong 3 Xu, Chao 3 Zhang, Guodong 2 Almonacid, Javier A. 2 Arruda, Natalia C. B. 2 Bai, Yanhong 2 Bermejo, Rodolfo 2 Bowers, Abigail L. 2 Braack, Malte 2 Cousins, Benjamin R. 2 DeCaria, Victor P. 2 Fiordilino, Joseph Anthony 2 Galvin, Keith J. 2 Gamnitzer, Peter 2 Ganesan, Sashikumaar 2 Heitmann, Nina 2 Jiang, Yu 2 Knobloch, Petr 2 Koc, Birgul 2 Kong, Qiongxiang 2 Kronbichler, Martin 2 Li, Ying 2 Liu, Qian 2 Lu, Xiaoli 2 Lu, Xiliang 2 Luo, Yan 2 Matthies, Gunar 2 Modirkhazeni, Seyedeh Mahnaz 2 Pal, Birupaksha 2 Qiu, Changxin 2 Saavedra, Laura 2 San, Omer ...and 270 more Authors all top 5 Cited in 70 Serials 45 Computer Methods in Applied Mechanics and Engineering 22 Computers & Mathematics with Applications 20 Numerical Methods for Partial Differential Equations 17 Journal of Computational and Applied Mathematics 17 Applied Numerical Mathematics 16 Applied Mathematics and Computation 12 Journal of Computational Physics 12 Journal of Scientific Computing 10 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Numerical Analysis 8 Computers and Fluids 7 Advances in Applied Mathematics and Mechanics 6 Mathematical Problems in Engineering 6 Computational Methods in Applied Mathematics 5 International Journal of Computer Mathematics 4 Calcolo 4 Numerical Algorithms 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 Archives of Computational Methods in Engineering 4 International Journal of Numerical Analysis and Modeling 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Numerical Analysis 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Computational Mechanics 3 SIAM Journal on Scientific Computing 2 Applied Mathematics Letters 2 Applications of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Journal of Mathematical Fluid Mechanics 2 Journal of Numerical Mathematics 2 Boundary Value Problems 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Mathematische Semesterberichte 1 Acta Mathematica Vietnamica 1 BIT 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Computational Optimization and Applications 1 Physics of Fluids 1 Turkish Journal of Mathematics 1 International Journal of Computational Fluid Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Networks and Heterogeneous Media 1 Science China. Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of Mathematical Extension 1 ISRN Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics 1 Electronic Research Archive 1 Results in Applied Mathematics all top 5 Cited in 12 Fields 263 Fluid mechanics (76-XX) 245 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 16 Classical thermodynamics, heat transfer (80-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Geophysics (86-XX) 3 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year