论文标题
边缘和面对一般顺序的虚拟元素的插值和稳定性估计
Interpolation and stability estimates for edge and face virtual elements of general order
论文作者
论文摘要
我们开发了两个维度和三个维度的通用标准和偶然性边缘的插值误差估计以及面对虚拟元素。从上下文中,我们研究了相关的L2离散双线性形式的稳定性。这些结果是分析通用虚拟元素(例如电磁问题)的基本工具。
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.