Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Publisher: search.filters.publisher.Elsevier Ltd.Subject: search.filters.subject.Diffusion in liquids

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  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    On the Choice of Stabilizing Sub-Grid for Convection-Diffusion Problem on Rectangular Grids
    (Elsevier Ltd., 2010) Neslitürk, Ali İhsan; Neslitürk, Ali İhsan; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    A stabilizing sub-grid which consists of a single additional node in each rectangular element is analyzed for solving the convection-diffusion problem, especially in the case of small diffusion. We provide a simple recipe for spotting the location of the additional node that contributes a very good stabilizing effect to the overall numerical method. We further study convergence properties of the method under consideration and prove that the standard Galerkin finite element solution on augmented grid produces a discrete solution that satisfies the same type of a priori error estimates that are typically obtained with the SUPG method. Some numerical experiments that confirm the theoretical findings are also presented. © 2010 Elsevier Ltd. All rights reserved.