Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4687
Title: The nearly-optimal Petrov-Galerkin method for convection-diffusion problems
Authors: Neslitürk, Ali İhsan
Harari, Isaac
Keywords: Transport properties
Convection-diffusion
Finite element method
Solute transport
Issue Date: Jun-2003
Publisher: Elsevier Ltd.
Source: Neslitürk, A., and Harari, I. (2203). The nearly-optimal Petrov-Galerkin method for convection-diffusion problems. Computer Methods in Applied Mechanics and Engineering, 192(22-23), 2501-2519. doi:10.1016/S0045-7825(03)00269-X
Abstract: The nearly-optimal Petrov-Galerkin (NOPG) method is employed to improve finite element computation of convection-dominated transport phenomena. The design of the NOPG method for convection-diffusion is based on consideration of the advective limit. Nonetheless, the resulting method is applicable to the entire admissible range of problem parameters. An investigation of the stability properties of this method leads to a coercivity inequality. The convergence features of the NOPG method for convection-diffusion are studied in an error analysis that is based on the stability estimates. The proposed method compares favorably to the performance of an established technique on several numerical tests.
URI: http://doi.org/10.1016/S0045-7825(03)00269-X
http://hdl.handle.net/11147/4687
ISSN: 0045-7825
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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