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 L2 discrete bilinear forms. These results are fundamental tools in the analysis of general order virtual elements, e.g., for electromagnetic problems.
翻译:我们为一般秩序标准和精度边缘制定内插误差估计,并面对两个和三个维度的虚拟元素。从上下文看,我们调查了相关的L2离散双线形的稳定性特性。这些结果是分析一般秩序虚拟元素的基本工具,例如用于电磁问题的虚拟元素。