Stabilization methods for the finite element solution of convection dominated problems:



It is well known that Galerkin’s numerical solution of convection-diffusion-reaction problems, when convection dominates, presents spurious oscillations focused in regions where the real solution has steep gradients: these oscillations are due only to numerical instability. To avoid them, various stabilization methods are described, and they consists mainly in proper modifications of the weak formulation corresponding to Galerkin’s method. We are studying a novel stabilization method.



  • ”The Best-Approximation Weighted-Residuals (BAWR) method for the steady diffusionc onvection-reaction problem”, G.Deolmi, F.Marcuzzi, M. Morandi Cecchi, 2011, doi:10.1016/j.matcom.2010.11.009


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