Local pointwise convergence of the 3D finite element

被引：0

作者：

Jing-hong Liu

Qi-ding Zhu

机构：

[1] Guangdong University of Petrochemical Technology,College of Science

[2] Hunan Normal University,School of Mathematics and Statistics

来源：

Applied Mathematics-A Journal of Chinese Universities | 2023年 / 38卷

关键词：

finite element; local convergence; Green’s function; 65N30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For an elliptic problem with variable coefficients in three dimensions, this article discusses local pointwise convergence of the three-dimensional (3D) finite element. First, the Green’s function and the derivative Green’s function are introduced. Secondly, some relationship of norms such as L2-norms, W1,∞-norms, and negative-norms in locally smooth subsets of the domain Ω is derived. Finally, local pointwise convergence properties of the finite element approximation are obtained.

引用

页码：210 / 222

页数：12

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