A finite element variational multiscale method for the Navier--Stokes equations V John, S Kaya SIAM Journal on Scientific Computing 26 (5), 1485-1503, 2005 | 200 | 2005 |

A two-level variational multiscale method for convection-dominated convection–diffusion equations V John, S Kaya, W Layton Computer Methods in Applied Mechanics and Engineering 195 (33-36), 4594-4603, 2006 | 121 | 2006 |

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations V John, S Kaya Advances in Computational Mathematics 28 (1), 43-61, 2008 | 81 | 2008 |

A projection-based stabilized finite element method for steady-state natural convection problem A Çıbık, S Kaya Journal of mathematical analysis and applications 381 (2), 469-484, 2011 | 79 | 2011 |

A two‐grid stabilization method for solving the steady‐state Navier‐Stokes equations S Kaya, B Riviere Numerical Methods for Partial Differential Equations: An International …, 2006 | 72 | 2006 |

Convergence analysis of the finite element method for a fundamental model in turbulence S Kaya, CC Manica Mathematical Models and Methods in Applied Sciences 22 (11), 1250033, 2012 | 53 | 2012 |

A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair GF Yu, HW Tam Journal of mathematical analysis and applications 344 (2), 593-600, 2008 | 52* | 2008 |

A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier--Stokes Equations S Kaya, B Rivière SIAM Journal on Numerical Analysis 43 (4), 1572-1595, 2005 | 52 | 2005 |

Subgrid stabilized defect correction methods for the Navier–Stokes equations S Kaya, W Layton, B Rivière SIAM journal on numerical analysis 44 (4), 1639-1654, 2006 | 50 | 2006 |

Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity V John, S Kaya, A Kindl Journal of mathematical analysis and applications 344 (2), 627-641, 2008 | 39 | 2008 |

Subgrid-scale eddy viscosity methods are variational multiscale methods S Kaya, W Layton University of Pittsburgh Technical Report TR-MATH, 03-04, 2003 | 39 | 2003 |

Analysis of model variance for ensemble based turbulence modeling N Jiang, S Kaya, W Layton Computational Methods in Applied Mathematics 15 (2), 173-188, 2015 | 30 | 2015 |

Finite element analysis of a projection-based stabilization method for the Darcy–Brinkman equations in double-diffusive convection A Çıbık, S Kaya Applied Numerical Mathematics 64, 35-49, 2013 | 27 | 2013 |

Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable M Akbas, S Kaya, M Mohebujjaman, L Rebholz Int. J. Numer. Anal. Model 13 (1), 90-113, 2016 | 19 | 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 | 16 | 2017 |

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 | 15 | 2013 |

Numerical analysis of a variational multiscale method for turbulence S Kaya University of Pittsburgh, 2005 | 15 | 2005 |

A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows FG Eroglu, S Kaya, LG Rebholz Computer Methods in Applied Mechanics and Engineering 325, 350-368, 2017 | 12 | 2017 |

Numerical analysis of a subgrid scale eddy viscosity method for higher reynolds number flow problem S Kaya University of Pittsburgh, Technical report, 2002 | 12 | 2002 |

Stability of infinite dimensional control problems with pointwise state constraints M Hinze, C Meyer Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007 | 10 | 2007 |