Derivative superconvergence of linear finite elements by recovery techniques

被引：0

作者：

Zhang, T ^{[1
]}

Li, CJ

Nie, YY

机构：

[1] Acad Sinica, Shenyang Inst Automat, Shenyang 110016, Peoples R China

[2] Northeastern Univ, Shenyang 110004, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2004年 / 11卷 / 5-6期

关键词：

boundary problems; finite element; derivative approximations; recovery techniques; superconvergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to investigate the superconvergence in derivative approximations of finite element solutions. We construct three kinds of derivative recovery formulas at the mesh points for linear, bilinear and quadrilateral finite elements, respectively, in the approximations of second order elliptic boundary value problems. These recovery formulas are simpler and more available comparing to the existing formulas. We also show the superconvergence for each derivative recovery formulas.

引用

页码：853 / 862

页数：10

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