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Ali Ihsan NESLITURK
Address : Department of Mathematics
Izmir Institute of Technology
Urla,
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,
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),
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" ,
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
``A Two-Level Finite Element Method for the
Incompressible Navier-Stokes Equations``, with L.Franca. Fifth US–Japan
Symposium on Flow Simulation and Modeling,
"Stability Effect of Residual Free
Bubbles" XIII. National Mathematics Congress,
“The
finite element method for MHD flow at
high Hartmann numbers” with
M.Tezer. Workshop On Differential Equations And Its
Applications,
“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.