论文标题
虚拟元素和富含气泡的版本的更清晰错误估计
Sharper error estimates for Virtual Elements and a bubble-enriched version
论文作者
论文摘要
在目前的贡献中，我们对虚拟元素方法进行了更明显的误差分析，该方法应用于模型椭圆问题，该方法将元素边界和元素内部贡献分离为误差。结果，我们能够提出该方案的变体，该变体允许利用具有许多边缘的多边形（例如那些构成Voronoi网格或由聚集过程生成的边缘），以产生更准确的离散解决方案。理论结果由数值实验支持。
In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied to a model elliptic problem, that separates the element boundary and element interior contributions to the error. As a consequence we are able to propose a variant of the scheme that allows to take advantage of polygons with many edges (such as those composing Voronoi meshes or generated by agglomeration procedures) in order to yield a more accurate discrete solution. The theoretical results are supported by numerical experiments.
