A nonconforming virtual element method for advection-diffusion-reaction problems with CIP stabilization

We study a nonconforming virtual element method (VEM) for advection-diffusion-reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is based on a standard variational formulation of the problem (no skew-symmetrization), and boundary conditions are imposed with a Nitsche technique. We use the enhanced version of VEM, with a "dofi-dofi" stabilization in the diffusion and reaction terms. We prove stability of the proposed method and derive h-version error estimates.