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Önder Türk

Graduate School of Applied Mathematics
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...
An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method
Türk, Önder (Elsevier BV, 2020-11-01)
An eigenvalue problem is introduced for the magnetohydrodynamic (MHD) Stokes equations describing the flow of a viscous and electrically conducting fluid in a duct under the influence of a uniform magnetic field. The solut...
Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques
Türk, Önder; Codina, Ramon (Elsevier BV, 2019-11-01)
Numerical solution strategies for the Stokes eigenvalue problem based on the use of penalty formulations are investigated in this study. It is shown that the penalty method approach can successfully be adapted for the eige...
A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems
Türk, Önder; Boffi, Daniele; Codina, Ramon (2016-10-01)
In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems is considered for both the two field (displacement pressure) and the three-field (stress displacement pressure) formulations. The...
Chebyshev Spectral Collocation Method for Natural Convection Flow of a Micropolar Nanofluid in the Presence of a Magnetic Field
Türk, Önder (2016-01-01)
The two-dimensional, laminar, unsteady natural convection flow of a micropolar nanofluid (Al2O3-water) in a square enclosure under the influence of a magnetic field, is solved numerically using the Chebyshev spectral collo...