论文标题
平面弹性的无稳定虚拟元素方法
Stabilization-free virtual element method for plane elasticity
论文作者
论文摘要
我们介绍了一阶无稳定虚拟元素方法在平面弹性中的问题上的构建和应用。确定了离散问题的适当性和误差估计。该方法是根据线性弹性的一系列众所周知的基准问题进行评估的，并提出了数值结果，以确认$ l^2 $ Norm和Energy Eminorm中虚拟元素方法的最佳收敛速率。
We present the construction and application of a first order stabilization-free virtual element method to problems in plane elasticity. Well-posedness and error estimates of the discrete problem are established. The method is assessed on a series of well-known benchmark problems from linear elasticity and numerical results are presented that affirm the optimal convergence rate of the virtual element method in the $L^2$ norm and the energy seminorm.
