Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Publisher: search.filters.publisher.Elsevier Ltd.Subject: search.filters.subject.Augmented space

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  • Article
    Citation - WoS: 10
    Citation - Scopus: 12
    Applications of the Pseudo Residual-Free Bubbles To the Stabilization of the Convection-Diffusion Problems in 2d
    (Elsevier Ltd., 2014) Şendur, Ali; Neslitürk, Ali İhsan; Kaya, Adem
    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.