An embedded discontinuous Galerkin method for the Oseen equations

In this paper, the a priori error estimates of an embedded discontinuous Galerkin method for the Oseen equations are presented.Please check whether short title on odd pages have been set correctly. It is proved that the velocity error in the L 2 (Ω) norm, has an optimal error bound with convergence order k  + 1, where the constants are dependent on the Reynolds number (or ν −1 ), in the diffusion-dominated regime, and in the convection-dominated regime, it has a Reynolds-robust error bound with quasi-optimal convergence order k  + 1/2. Here, k is the polynomial order of the velocity space.Please provide missing AMS classification codes. In addition, we also prove an optimal error estimate for the pressure. Finally, we carry out some numerical experiments to corroborate our analytical results.