We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the stability properties of the associated $L^2$ discrete bilinear forms. These results are fundamental tools in the analysis of general order virtual elements, e.g. for electromagnetic problems.

中文翻译：

---

一般阶边和面虚拟元素的插值和稳定性估计

我们为二维和三维的一般顺序标准和偶然边缘和面虚拟元素开发插值误差估计。在上下文中，我们研究了相关联的稳定性属性${\mathrm{大号}}^2$离散双线性形式。这些结果是分析一般阶虚拟元素（例如电磁问题）的基本工具。