The Virtual Element Method 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 Virtual Element Method, the stability and the error analysis require particular care, especially in treating the advective term. Some numerical tests are presented to support the theoretical results.
翻译:本文针对扩散-对流-反应问题研究了虚拟单元法。为设计在对流主导条件下仍具拟鲁棒性的格式,采用了连续内罚方法。由于虚拟单元法特有的多项式投影算子存在,稳定性和误差分析需要特别处理,尤其是在处理对流项时。文中通过数值实验验证了理论结果。