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

Author

Listed:
  • Deolmi, G.
  • Marcuzzi, F.
  • Morandi Cecchi, M.

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.

Suggested Citation

  • Deolmi, G. & Marcuzzi, F. & Morandi Cecchi, M., 2011. "The Best-Approximation Weighted-Residuals method for the steady convection-diffusion-reaction problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(1), pages 144-162.
    • Handle: RePEc:eee:matcom:v:82:y:2011:i:1:p:144-162
    DOI: 10.1016/j.matcom.2010.11.009
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