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Ali Ihsan NESLITURK

Address : Department of Mathematics
                 Izmir Institute of Technology
                 Urla, Izmir, TURKEY 35430

Phone    : (232) 750-7522 (office)
Fax        : (232) 750-7509
Email     : alinesliturk  at  iyte.edu.tr
WWW  : http://www.iyte.edu.tr/~alinesliturk

 

Education:

Ph.D., Applied Mathematics, University of Colorado at Denver, 1996-1999.
Advisor       : Leo Franca.
Thesis title  : Approximating the incompressible Navier-Stokes equation using a two-level  finite element method.

M.S., Numerical Analysis, University of Washington, 1995-1996.
Advisor         : Kenneth Bube.
Thesis title    : Regularity of Elliptic Differential Equations and Iterative Solutions of Poisson's Equation

B.S., Mathematics and Mathematics Education (Double Major), Middle East Technical University, Ankara, Turkiye, 1987-1992

Work Experience:

2006-present  :   Associate Prof., IYTE, Faculty of Science, Department of Mathematics.

2000-2006  :   Assistant Prof., IYTE, Faculty of Science, Department of Mathematics.

2000-2000      :   Instructor, IYTE, Faculty of Science, Department of Mathematics.

1992-1994      :   Teaching Assistant, METU, Faculty of Education, Dept. of Mathematics Education
 

Fields of Interest:

Stabilized finite element method, partial differential equations, scientific computing, fluid mechanics, numerical analysis.

PhD Thesis

"Approximating the incompressible Navier-Stokes equations by a two-level finite element method" , Denver, 1999. Directed by Leo Franca.

Publications:

``On the Stability of Residual-Free Bubbles for Convection-Diffusion Problems and Their Approximation by a Two-Level Finite Element Method,'' with L.Franca and M. Stynes. Computer Methods in Applied Mechanics and Engineering, 166, pp. 35-49 (1998).

``On a two-level finite element method for the incompressible Navier-Stokes equations,''
with L.Franca. International Journal for Numerical Methods in Engineering. Vol. 52, pp. 433-453 (2001).

``The nearly-optimal Petrov-Galerkin method for convection-diffusion problems,'' with I.Harari.  Computer Methods in Applied Mechanics and Engineering, 192 (2003), 2501-2519.

``The finite element method for  MHD flow at high Hartmann numbers' with M.Tezer.  Computer Methods in Applied Mechanics and Engineering, 194, pp. 1201-1224 (2005).

On the stability of the residual-free bubbles for the Navier – Stokes equations’.     Acta Mathematica Scientia. 25,  715-730  (2005) 

A Stabilizing Subgrid For Convection-Diffusion Problem’ .  Mathematical Models and Methods in Applied Sciences (M3AS).  16 (2006), 211-232

"Finite element method solution of electrically driven Magnetohydrodynamic flow,"   with M.Tezer. Journal of Computational and Applied Mathematics. Vol.192, 2006, Page:339-352.

"Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations," A. Neslitürk, S. H. Aydın ve  M. Tezer-Sezgin.  Int. J. Numer. Meth. Fluids. 58, 551-572 (2008)

"Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations," S. H. Aydın, A. Neslitürk ve  M. Tezer-Sezgin. Int. J. Numer. Meth. Fluids. 62: 188-210 (2010)

"On the choice of stabilizing subgrid for convection-diffusion problem on rectangular grids", A. Neslitürk , Computers and Mathematics with Applications, 59 (2010) 3687-3699

 

 

Conferences:

``Recent Advances on Two-Level Finite Element Methods,'' with L.Franca. In p. 211 of the Abstracts of the Fifth U.S. National Congress on Computational Mechanics, Boulder, Colorado, August 1999.

``A Two-Level Finite Element Method for the Incompressible Navier-Stokes Equations``, with L.Franca. Fifth US–Japan Symposium on Flow Simulation and Modeling, Houston, Texas, March 2000.

"Stability Effect of Residual Free Bubbles" XIII. National Mathematics Congress, Istanbul, September 2000.
 
  “
The finite element method for  MHD flow at high Hartmann numbers” with M.Tezer.  Workshop On Differential Equations And Its Applications, Istanbul, Turkiye, September 2004.

“Fınıte Element Method Solutıon Of Convectıon Dıffusıon Problem:  An Applıcatıon To MHD Flow” with M.Tezer. Ankara International Aerospace Conference, Ankara, Turkey, August 2005.

An $\epsilon$-uniform method for  singular perturbation problems on  equidistant meshes” with A. Şendur. 8th European Conference on Numerical Mathematics, Uppsala, Sweden, July 2009.