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.
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页数：13
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