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

页码：33 / 47

页数：15

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