论文标题
弹性问题的虚拟元素方法允许小边缘
A virtual element method for the elasticity problem allowing small edges
论文作者
论文摘要
在本文中，我们分析了二维弹性问题的虚拟元素方法，允许小边缘。通过这种方法，可以放松对多边形网格的几何特征的经典假设。特别是，我们仅考虑针对网格的星形多边形。提出了适当的误差估计，其中呈现了对拉梅常数在每个估计中的影响的严格分析。我们报告数值测试以评估该方法的性能。
In this paper we analyze a virtual element method for the two dimensional elasticity problem allowing small edges. With this approach, the classic assumptions on the geometrical features of the polygonal meshes can be relaxed. In particular, we consider only star-shaped polygons for the meshes. Suitable error estimates are presented, where a rigorous analysis on the influence of the Lamé constants in each estimate is presented. We report numerical tests to assess the performance of the method.
