Browsing by Author "Neslitürk, Ali İhsan"
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Analysis of finite difference methods for convectiondiffusion problem
Demirayak, Murat (Izmir Institute of Technology, 2004)We 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 ... 
Applications of the pseudo residualfree bubbles to the stabilization of convectiondiffusionreaction problems
Şendur, Ali; Neslitürk, Ali İhsan (Springer, 201203)It is known that the enrichment of the polynomial finite element space of degree 1 by bubble functions results in a stabilized scheme of the SUPGtype for the convectiondiffusionreaction problems. In particular, the ... 
Applications of the pseudo residualfree bubbles to the stabilization of the convectiondiffusionreaction problems in 2D
Şendur, Ali; Neslitürk, Ali İhsan; Kaya, Adem (Elsevier, 201408)A stabilized finite element method is studied herein for twodimensional convectiondiffusionreaction problems. The method is based on the residualfree bubbles (RFB) method. However we replace the RFB functions by their ... 
Bubblebased stabilized finite element methods for timedependent convection–diffusion–reaction problems
Şendur, Ali; Neslitürk, Ali İhsan (Wiley, 20161120)In this paper, we propose a numerical algorithm for timedependent convection–diffusion–reaction problems and compare its performance with the wellknown numerical methods in the literature. Time discretization is performed ... 
The finite element method for MHD flow at high Hartmann numbers
Neslitürk, Ali İhsan; Tezer, Münevver (Elsevier, 200503)A stabilized finite element method using the residualfree bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the ... 
Finite element method solution of electrically driven magnetohydrodynamic flow
Neslitürk, Ali İhsan; Tezer, Münevver (Elsevier, 200608)The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ... 
A fully discrete εuniform method for convectiondiffusion problem on equidistant meshes
Filiz, Ali; Neslitürk, Ali İhsan; Ekici, Mehmet (Hikari, 2012)For a singularlyperturbed twopoint boundary value problem, we propose an εuniform finite difference method on an equidistant mesh which requires no exact solution of a differential equation. We start with a fullfitted ... 
The nearlyoptimal PetrovGalerkin method for convectiondiffusion problems
Neslitürk, Ali İhsan; Harari, Isaac (Elsevier, 200306)The nearlyoptimal PetrovGalerkin (NOPG) method is employed to improve finite element computation of convectiondominated transport phenomena. The design of the NOPG method for convectiondiffusion is based on consideration ... 
On the choice of stabilizing subgrid for convectiondiffusion problem on rectangular grids
Neslitürk, Ali İhsan (Elsevier, 201006)A stabilizing subgrid which consists of a single additional node in each rectangular element is analyzed for solving the convectiondiffusion problem, especially in the case of small diffusion. We provide a simple recipe ... 
Pseudomultiscale functions for the stabilization of convectiondiffusion equations on rectangular grids
Neslitürk, Ali İhsan; Baysal, Onur (Begell House, 2013)We propose a finite element method of PetrovGalerkin type for a singularly perturbed convection diffusion problem on a discretization consisting of rectangular elements. The method is based on enriching the finiteelement ... 
A Stabilizing subgrid for convectiondiffusion problem
Neslitürk, Ali İhsan (World Scientific Publishing, 200602)A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convectiondiffusion problem, especially in the case of small diffusion. The choice of the location of ... 
Twolevel finite element method with a stabilizing subgrid for the incompressible MHD equations
Aydın, Selçuk Han; Neslitürk, Ali İhsan; Tezer Sezgin, Münevver (Wiley, 201001)We consider the Galerkin finite element method (FEM) for the incompressible magnetohydrodynamic (MHD) equations in two dimension. The domain is discretized into a set of regular triangular elements and the finitedimensional ... 
Twolevel finite element method with a stabilizing subgrid for the incompressible NavierStokes equations
Neslitürk, Ali İhsan; Aydın, Selçuk Han; Tezer, Münevver (Wiley, 20081020)We consider the Galerkin finite element method for the incompressible NavierStokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finitedimensional spaces employed ... 
Uniformly convergent approximation on special meshes
Bingöl, Özgür (Izmir Institute of Technology, 2007)We consider finite difference methods for the approximation of onedimensional convectiondiffusion problem with a small parameter multiplying the diffusion term. An analysis of the centered difference and upwind difference ...