Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Institution Author: search.filters.institutionAuthor.Baysal, Onur

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  • Article
    An Operator Splitting Approximation Combined With the Supg Method for Transport Equations With Nonlinear Reaction Term
    (Tech Science Press, 2012) Baysal, Onur; Tanoğlu, Gamze
    In this work, an operator splitting method is proposed in order to obtain a stable numerical solution for transport equation with non-linear reaction term. We split the transport equation into a reaction part and an advection diffusion part. The former one which becomes a nonlinear ordinary differential equation can be approximated by the simple higher order integrator or solved exactly. The later one is approximated by the Streamline-Upwind Petrov-Galerkin (SUPG) method combined with the generalized Euler time integration (q-method). Numerical results that illustrate the good performance of this method are reported.
  • Article
    Citation - Scopus: 1
    Pseudo-Multi Functions for the Stabilization of Convection-Diffusion Equations on Rectangular Grids
    (Begell House Inc., 2013) Neslitürk, Ali İhsan; Baysal, Onur
    We 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.