The Best-Approximation Weighted-Residuals method for the steady convection-diffusion-reaction problem

G. Deolmi, F. Marcuzzi and M. Morandi Cecchi

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 1, 144-162

Abstract: In this paper we present an analytical, parameter-free, Petrov-Galerkin method that gives stable solutions of convection dominated boundary-value problems. We call it the Best Approximation Weighted Residuals (BAWR) method since it gives the best approximation in the norm induced by the inner-product used to build the weighted-residuals approximation. The method computes the optimal weighting functions by solving suitable adjoint problems. Moreover, through a localization technique it becomes computationally efficient without loosing accuracy. The analysis is confirmed by numerical results.

Keywords: Weighted-residuals methods; Finite elements; Least-squares approximation; Parameter-free stabilization; Adjoint problems (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:1:p:144-162

DOI: 10.1016/j.matcom.2010.11.009

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