This paper develops a lowest-order conforming virtual element method for planar linear elasticity in the displacement/traction formulation, which can be viewed as an extension of the idea in Brenner \& Sung (1992) to the virtual element method, with the family of polygonal meshes satisfying a very general geometric assumption. The method is shown to be uniformly convergent with the Lam\'{e} constant with the optimal rates of convergence.
翻译:本文开发了一种最低顺序的虚拟元素方法,该方法符合离位/引力配方中平面线性弹性的虚拟元素方法,可被视为将Brenner ⁇ Zung(1992年)中的设想延伸至虚拟元素方法,而多边形中间金属组符合非常一般的几何假设,该方法与Lam\'{e}一致,与最佳汇合率一致。