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Convergence Analysis of Carey Nonconforming Finite Element for the Second-Order Elliptic Problem with the Lowest Regularity
Russian Physics Journal ( IF 0.4 ) Pub Date : 2021-06-01 , DOI: 10.1007/s11182-021-02322-5
Dongwei Shi , CaixiaWang

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:

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。 )

更新日期:2021-06-01
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