The virtual element method was introduced 10 years ago, and it has generated ever since a large number of theoretical results and applications. Here, we give an overview of the main mathematical results concerning the stabilization term of the method in the hope that it may be useful to newcomers in the field. In particular, we summarize the proof of some results for two dimensional ``nodal'' conforming and nonconforming virtual element spaces to pinpoint the essential tools used in the stability analysis. We discuss their extension to several other virtual elements. Finally, we show that the stability bounds imply interpolation estimates.

翻译：虚拟单元法于十年前被提出，此后产生了大量理论成果与应用。本文综述了该方法中稳定化项的主要数学结论，以期对该领域的新研究者有所助益。具体而言，我们总结二维"节点型"协调与非协调虚拟单元空间部分结论的证明过程，以阐明稳定性分析中使用的核心工具，并讨论其向其他多种虚拟单元的推广。最后，我们证明稳定性界可推出插值估计。