Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2729
Title: On the choice of stabilizing sub-grid for convection-diffusion problem on rectangular grids
Authors: Neslitürk, Ali İhsan
Keywords: Diffusion in liquids
Heat convection
Finite element method
Convection-diffusion problem
Stabilized FEM
Publisher: Elsevier Ltd.
Source: Neslitürk, A. İ. (2010). On the choice of stabilizing sub-grid for convection-diffusion problem on rectangular grids. Computers and Mathematics with Applications, 59(12), 3687-3699. doi:10.1016/j.camwa.2010.04.002
Abstract: 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.
URI: http://doi.org/10.1016/j.camwa.2010.04.002
http://hdl.handle.net/11147/2729
ISSN: 0898-1221
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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