A connection between subgrid scale eddy viscosity and mixed methods

@article{Layton2002ACB,
  title={A connection between subgrid scale eddy viscosity and mixed methods},
  author={William J. Layton},
  journal={Applied Mathematics and Computation},
  year={2002},
  volume={133},
  pages={147-157}
}
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 ruh. 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… CONTINUE READING
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