The Virtual Element Method (VEM) for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomial projection operators, typical of the VEM, the stability and the error analysis requires particular care—especially in treating the advective term. Some numerical tests are presented to support the theoretical results.

中文翻译：

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用于扩散对流反应问题的 CIP 稳定虚拟单元


考虑用于扩散对流反应问题的虚拟元素法（VEM）。为了在对流主导的情况下设计准鲁棒方案，采用了连续内部惩罚方法。由于存在 VEM 的典型多项式投影算子，因此稳定性和误差分析需要特别小心，尤其是在处理平流项时。一些数值试验被提出来支持理论结果。