Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5419
Title: Applications of the pseudo residual-free bubbles to the stabilization of the convection-diffusion-reaction problems in 2D
Authors: Şendur, Ali
Neslitürk, Ali İhsan
Kaya, Adem
Keywords: Augmented space
Pseudo residual-free bubbles
Stabilized finite element methods
Incompressible flow
Numerical methods
Issue Date: Aug-2014
Publisher: Elsevier Ltd.
Source: Şendur, A., Neslitürk, A. İ., and Kaya, A. (2014). Applications of the pseudo residual-free bubbles to the stabilization of the convection-diffusion-reaction problems in 2D. Computer Methods in Applied Mechanics and Engineering, 277, 154-179. doi:10.1016/j.cma.2014.04.019
Abstract: A stabilized finite element method is studied herein for two-dimensional convection-diffusion-reaction problems. The method is based on the residual-free bubbles (RFB) method. However we replace the RFB functions by their cheap, yet efficient approximations computed on a specially chosen subgrid, which retain the same qualitative behavior. Since the correct spot of subgrid points plays a crucial role in the approximation, it is important to determine their optimal locations, which we do it through a minimization process with respect to the L1-norm. The resulting numerical method has similar stability features with the well-known stabilized methods in the literature for the whole range of problem parameters and this fact is also confirmed by numerical experiments.
URI: http://doi.org/10.1016/j.cma.2014.04.019
http://hdl.handle.net/11147/5419
ISSN: 0045-7825
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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