In this paper, the Carey nonconforming finite element method (NFEM) for the second order elliptic problem is discussed. By means of the different techniques from the existing literatures, the non-uniform and uniform convergences are obtained only under the lowest regularity assumption on the solution \( u\in {H}_0^1\left(\Omega \right). \)

中文翻译：

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具有最低正则性的二阶椭圆问题的凯里非一致有限元收敛分析

在本文中，讨论了二阶椭圆问题的凯里非一致性有限元方法（NFEM）。通过与现有文献不同的技术，只有在解\( u\in {H}_0^1\left(\Omega \right). \)的最低正则性假设下才能获得非均匀收敛和均匀收敛。 )