A three-level CIP-VEM approach for the Oseen equation

Abstract

We study a pressure-robust virtual element method for the Oseen problem. In the advection-dominated case, the method is stabilized with a three level jump of the convective term. To analyze the method, we prove specific estimates for the virtual space of potentials. Finally, e prove stability of the proposed method in the advection-dominated limit and derive h-version error estimates for the velocity and the pressure.