A connection between subgrid scale eddy viscosity and mixed methods

摘要

We consider a new mixed method (related to the `EVSS' method in computational viscoelasticity) for the convection-dominated, convection–diffusion equation in which stabilization is added then removed through the extra `mixed' variables. This consistent stabilization is equivalent to an artificial viscosity operator acting only on the fluctuations in ∇uh. By suitable choice of the mixed spaces, a method of Guermond is recovered exactly. We show that for a different, natural choice a new method results with global error estimates similar to both Guermond's method and the streamline diffusion/SUPG method.