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.

翻译：本文研究一种采用连续内罚（CIP）稳定化技术的非协调虚拟元方法（VEM），用于求解对流-扩散-反应问题。该方法的设计基于问题的标准变分形式（无需斜对称化处理），并采用Nitsche技术施加边界条件。我们采用增强版本的VEM，在扩散项和反应项中采用“自由度-自由度”稳定化策略。我们证明了所提方法的稳定性，并推导了$h$版本误差估计。