Superconvergence of the High-Degree FE Method for Second-Degree Elliptic Problem with Periodic Boundary

被引：1

作者：

Liu, Xiong ^{[1
]}

机构：

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 03期

基金：

中国国家自然科学基金;

关键词：

The interpolation postprocessing technique; superconvergence; periodic boundary;

D O I：

10.1007/s00009-021-01742-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is the first time for us to investigate the superconvergence of finite element method for second-degree elliptic problem with periodic boundary. Using the interpolation postprocessing technique, we obtain O(h(k+1)vertical bar ln h vertical bar(2)) convergence for the derivative of approximations with a Pk finite element method at vertex. Numerical results are used to demonstrate the effectiveness of the proposed method.

引用

页数：13

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