This paper is devoted to the numerical solution of the scalar convection- diffusion-reaction equation. We present new results of the adaptive technique for computing the stabilization parameter τ in the streamline upwind/Petrov-Galerkin (SUPG) method based on minimizing the value of a functional called error indicator.
Particularly, we present results for conforming finite element spaces up to the order 5 with the parameter tau from the piecewise discontinuous finite element spaces, also up to the order 5.