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Title: Pseudo-multi-scale functions for the stabilization of convection-diffusion equations on rectangular grids
Authors: Neslitürk, Ali İhsan
Baysal, Onur
Keywords: Stabilized FEM
Multiscale functions
Convection-diffusion equation
Residual-free bubbles
Issue Date: 2013
Publisher: Begell House Inc.
Source: Neslitürk, A. İ., and Baysal, O. (2013). Pseudo-multi-scale functions for the stabilization of convection-diffusion equations on rectangular grids. International Journal for Multiscale Computational Engineering, 11(4), 319-331. doi:10.1615/IntJMultCompEng.2012004234
Abstract: We propose a finite element method of Petrov-Galerkin type for a singularly perturbed convection diffusion problem on a discretization consisting of rectangular elements. The method is based on enriching the finite-element space with a combination of multiscale and residual-free bubble functions. These functions require the solution of the original differential problem, which makes the method quite expensive, especially in two dimensions. Therefore, we instead employ their cheap, yet efficient approximations, using only a few nodes in each element. Several numerical tests confirm the good performance of the corresponding numerical method.
ISSN: 1543-1649
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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