A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations

We present a variational multiscale method for the Oseen equation with higher Reynolds number. Based on the mini-element discretization, the stabilization term only depends on bubble functions, and the best algorithmic feature of our method is using two local Gauss integrations to replace projection operator without adding any extra storage. A priori error estimate is proved and the effectiveness of the method is illustrated through several numerical experiments.