Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with inhomogeneous boundary conditions

被引：0
|
作者：
He, Wen-ming [1 ]
Zhao, Ren [2 ]
Cao, Yong [2 ]
机构：
[1] Lingnan Normal Univ, Dept Math, Zhanjiang, Peoples R China
[2] Harbin Inst Technol, Sch Mech Engn & Automat, Shenzhen 518055, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
graded partition; inhomogeneous boundary; interpolation operator; Richardson extrapolation; ultraconvergence; SUPERCONVERGENCE; APPROXIMATION;
D O I：
10.1002/num.22822
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, Richardson extrapolation technique is employed to investigate the local ultraconvergence properties of Lagrange finite element method using piecewise polynomials of degrees k (k >= 2) for the second order elliptic problem with inhomogeneous boundary. A sequence of special graded partition TNs are proposed and a new interpolation operator is introduced to achieve 2k order local ultraconvergence for the displacement and derivative.
引用
收藏
页码：33 / 47
页数：15
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