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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 |
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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