Neslitürk, Ali İhsan
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Neslitürk, Ali
Nesliturk, Ali Ihsan
Neslitürk, Ali İ.
Nesliturk, Ali I.
Nesliturk, Ali
Neslitürk, Aİ
Neslitürk, A. İ.
Nesliturk, AI
Nesliturk, A. I.
Neslitürk, A.
Neslitürk, A
Nesliturk, A.
Nesliturk, A
Nesliturk, Ali Ihsan
Neslitürk, Ali İ.
Nesliturk, Ali I.
Nesliturk, Ali
Neslitürk, Aİ
Neslitürk, A. İ.
Nesliturk, AI
Nesliturk, A. I.
Neslitürk, A.
Neslitürk, A
Nesliturk, A.
Nesliturk, A
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04.02. Department of Mathematics
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Former Staff
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Documents
15
Citations
410
h-index
10
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Scholarly Output
17
Articles
14
Views / Downloads
12124/7099
Supervised MSc Theses
2
Supervised PhD Theses
0
WoS Citation Count
229
Scopus Citation Count
238
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0
Projects
1
WoS Citations per Publication
13.47
Scopus Citations per Publication
14.00
Open Access Source
15
Supervised Theses
2
| Journal | Count |
|---|---|
| Computer Methods in Applied Mechanics and Engineering | 3 |
| International Journal for Numerical Methods in Fluids | 3 |
| Calcolo | 1 |
| Computers and Mathematics with Applications | 1 |
| International Journal for Multiscale Computational Engineering | 1 |
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17 results
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Now showing 1 - 10 of 17
Conference Object Solution of Navier-Stokes Equations Using Fem With Stabilizing Subgrid(Springer Verlag, 2010) Tezer-Sezgin, M.; Aydin, S. Han; Neslitürk, Ali İhsanThe Galerkin finite element method (FEM) is used for solving the incompressible Navier Stokes equations in 2D. Regular triangular elements are used to discretize the domain and the finite-dimensional spaces employed consist of piece wise continuous linear interpolants enriched with the residual-free bubble (RFB) functions. To find the bubble part of the solution, a two-level FEM with a stabilizing subgrid of a single node is described in our previous paper [Int. J. Numer. Methods Fluids 58, 551-572 (2007)]. The results for backward facing step flow and flow through 2D channel with an obstruction on the lower wall show that the proper choice of the subgrid node is crucial to get stable and accurate solutions consistent with the physical configuration of the problems at a cheap computational cost.Article Citation - WoS: 1Citation - Scopus: 1A Fully Discrete ?-Uniform Method for Singular Perturbation Problems on Equidistant Meshes(Taylor and Francis Ltd., 2012) Filiz, Ali; Neslitürk, Ali; Şendur, AliWe propose a fully discrete ε-uniform finite-difference method on an equidistant mesh for a singularly perturbed two-point boundary-value problem (BVP). We start with a fitted operator method reflecting the singular perturbation nature of the problem through a local BVP. However, to solve the local BVP, we employ an upwind method on a Shishkin mesh in local domain, instead of solving it exactly. Thus, we show that it is possible to develop a ε-uniform method, totally in the context of finite differences, without solving any differential equation exactly. We further study the convergence properties of the numerical method proposed and prove that it nodally converges to the true solution for any ε. Finally, a set of numerical experiments is carried out to validate the theoretical results computationally. © 2012 Copyright Taylor and Francis Group, LLCArticle Citation - WoS: 10Citation - Scopus: 12Applications of the Pseudo Residual-Free Bubbles To the Stabilization of the Convection-Diffusion Problems in 2d(Elsevier Ltd., 2014) Şendur, Ali; Neslitürk, Ali İhsan; Kaya, AdemA stabilized finite element method is studied herein for two-dimensional convection-diffusion-reaction problems. The method is based on the residual-free bubbles (RFB) method. However we replace the RFB functions by their cheap, yet efficient approximations computed on a specially chosen subgrid, which retain the same qualitative behavior. Since the correct spot of subgrid points plays a crucial role in the approximation, it is important to determine their optimal locations, which we do it through a minimization process with respect to the L1-norm. The resulting numerical method has similar stability features with the well-known stabilized methods in the literature for the whole range of problem parameters and this fact is also confirmed by numerical experiments.Article Citation - WoS: 13Citation - Scopus: 12Two-Level Finite Element Method With a Stabilizing Subgrid for the Incompressible Navier-Stokes Equations(John Wiley and Sons Inc., 2008) Neslitürk, Ali İhsan; Aydın, Selçuk Han; Tezer, MünevverWe consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finite-dimensional spaces employed consist of piecewise continuous linear interpolants enriched with the residual-free bubble functions. To find the bubble part of the solution, a two-level finite element method with a stabilizing subgrid of a single node is described, and its application to the Navier-Stokes equation is displayed. Numerical approximations employing the proposed algorithm are presented for three benchmark problems. The results show that the proper choice of the subgrid node is crucial in obtaining stable and accurate numerical approximations consistent with the physical configuration of the problem at a cheap computational cost. Copyright © 2008 John Wiley & Sons, Ltd.Article Citation - WoS: 9Citation - Scopus: 10Applications of the Pseudo Residual-Free Bubbles To the Stabilization of Convection-Diffusion Problems(Springer Verlag, 2012) Şendur, Ali; Neslitürk, Ali İhsanIt is known that the enrichment of the polynomial finite element space of degree 1 by bubble functions results in a stabilized scheme of the SUPG-type for the convection-diffusion-reaction problems. In particular, the residual-free bubbles (RFB) can assure stabilized methods, but they are usually difficult to compute, unless the configuration is simple. Therefore it is important to devise numerical algorithms that provide cheap approximations to the RFB functions, contributing a good stabilizing effect to the numerical method overall. Here we propose a stabilization technique based on the RFB method and particularly designed to treat the most interesting case of small diffusion. We replace the RFB functions by their cheap, yet efficient approximations which retain the same qualitative behavior. The approximate bubbles are computed on a suitable sub-grid, the choice of whose nodes are critical and determined by minimizing the residual of a local problem with respect to L 1 norm. The resulting numerical method has similar stability features with the RFB method for the whole range of problem parameters. This fact is also confirmed by numerical experiments. We also note that the location of the sub-grid nodes suggested by the strategy herein coincides with the one in Brezzi et al. (Math. Models Methods Appl. Sci. 13:445-461, 2003). © 2011 Springer-Verlag.Article Citation - WoS: 66Citation - Scopus: 67The Finite Element Method for Mhd Flow at High Hartmann Numbers(Elsevier Ltd., 2005) Neslitürk, Ali İhsan; Tezer, MünevverA stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer regions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming theoretical findings are presented for several configurations of interest. The approximate solution obtained by the RFB method is also compared with the analytical solution of Shercliff's problem.Article Citation - Scopus: 1Pseudo-Multi Functions for the Stabilization of Convection-Diffusion Equations on Rectangular Grids(Begell House Inc., 2013) Neslitürk, Ali İhsan; Baysal, OnurWe propose a finite element method of Petrov-Galerkin type for a singularly perturbed convection diffusion problem on a discretization consisting of rectangular elements. The method is based on enriching the finite-element space with a combination of multiscale and residual-free bubble functions. These functions require the solution of the original differential problem, which makes the method quite expensive, especially in two dimensions. Therefore, we instead employ their cheap, yet efficient approximations, using only a few nodes in each element. Several numerical tests confirm the good performance of the corresponding numerical method.Article A Fully Discrete ?-Uniform Method for Convection-Diffusion Problem on Equidistant Meshes(Hikari Ltd., 2012) Filiz, Ali; Neslitürk, Ali İhsan; Ekici, MehmetFor a singularly-perturbed two-point boundary value problem, we propose an ε-uniform finite difference method on an equidistant mesh which requires no exact solution of a differential equation. We start with a full-fitted operator method reflecting the singular perturbation nature of the problem through a local boundary value problem. However, to solve the local boundary value problem, we employ an upwind method on a Shishkin mesh in local domain, instead of solving it exactly. We further study the convergence properties of the numerical method proposed and prove it nodally converges to the true solution for any ε.Master Thesis Analysis of Finite Difference Methods for Convection-Diffusion Problem(Izmir Institute of Technology, 2004) Demirayak, Murat; Neslitürk, Ali İhsanWe consider finite difference methods for one dimensional convection diffusion problem. An error analysis shows that the solution of the upwind scheme is not uniformly convergent in the discrete maximum norm due to its behavior in the layer. Then, we introduce and analyze a numerical method, Il.inAllen-Southwell scheme, that is first-order uniformly convergent in the discrete maximum norm throughout the domain. Finally, we present numerical results that confirm theoretical findings.Article Citation - WoS: 15Citation - Scopus: 16The Nearly-Optimal Petrov-Galerkin Method for Convection-Diffusion Problems(Elsevier Ltd., 2003) Neslitürk, Ali İhsan; Harari, IsaacThe nearly-optimal Petrov-Galerkin (NOPG) method is employed to improve finite element computation of convection-dominated transport phenomena. The design of the NOPG method for convection-diffusion is based on consideration of the advective limit. Nonetheless, the resulting method is applicable to the entire admissible range of problem parameters. An investigation of the stability properties of this method leads to a coercivity inequality. The convergence features of the NOPG method for convection-diffusion are studied in an error analysis that is based on the stability estimates. The proposed method compares favorably to the performance of an established technique on several numerical tests.