Önder Türk

E-mail

oturk@metu.edu.tr

Department

Graduate School of Applied Mathematics

ORCID

0000-0002-9609-1888

Scopus Author ID

55766003600

Web of Science Researcher ID

AAG-4980-2019

Approximation of a Laplace-Steklov eigenvalue problem by finite and boundary element methods Türk, Önder (2024-01-11)
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct Tezer, Münevver; Türk, Önder (2024-01-01) We consider the effect of time dependent magnetic field on the natural convection magnetohydrodynamic flow in a rectangular duct. The flow is two-dimensional, unsteady, laminar and the fluid is electrically conducting and ...
Finite Element Formulations for Maxwell's Eigenvalue Problem Using Continuous Lagrangian Interpolations Boffi, Daniele; Codina, Ramon; Türk, Önder (2024-01-01) We consider nodal-based Lagrangian interpolations for the finite element approximation of the Maxwell eigenvalue problem. The first approach introduced is a standard Galerkin method on Powell-Sabin meshes, which has recent...
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition Ismailov, Mansur I.; Türk, Önder (2023-12-01) In this paper we present the inverse problem of determining a time dependent heat source in a two-dimensional heat equation accompanied with Dirichlet–Neumann–Wentzell boundary conditions. The model is of significant pract...
Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems Bahadır, Eylem; Türk, Önder (2023-04-01) In this study, we aim to analyze the effects of several boundary variations on the spectrum of the simplified and generalized Steklov eigenvalue problems (EVPs) in which the spectral parameter resides on the boundary. We m...
Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method Codina, Ramon; Türk, Önder (2022-09-01) This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why ...
Approximation of Steklov Eigenvalue Problems by Finite Difference Methods Özalp, Mücahit; Bozkaya, Canan; Türk, Önder (2022-08-29)
Chebyshev spectral collocation method for MHD duct flow under slip condition Bozkaya, Canan; Türk, Önder (2022-01-01) The magnetohydrodynamic problem of a fully developed flow of an incompressible and electrically conducting fluid is solved numerically by a Chebyshev spectral collocation method in a square duct with walls of variable elec...
A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem Bozkaya, Canan; Türk, Önder (2021-05-03) The thermally coupled full magnetohydrodynamic (MHD) flow is numerically investigated in a square cavity subject to an externally applied uniform magnetic field. The governing equations given in terms of stream function, v...
A DRBEM approximation of the Steklov eigenvalue problem Türk, Önder (Elsevier BV, 2021-01-01) In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing d...

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