A Posteriori Error Estimates of Edge Residual type of Finite Element Method for Nonmonotone Quasi-Linear Elliptic Problems

被引：4

作者：

Guo, Liming ^{[1
]}

Huang, Ziping ^{[1
]}

Wang, Cheng ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 03期

基金：

美国国家科学基金会;

关键词：

a posteriori error estimates; edge residuals; quasi-linear elliptic problems; APPROXIMATIONS; ALGORITHM; EQUATIONS;

D O I：

10.1002/num.21838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the edge residual-based a posteriori error estimates of conforming linear finite element method for nonmonotone quasi-linear elliptic problems. It is proven that edge residuals dominate a posteriori error estimates. Up to higher order perturbations, edge residuals can act as a posteriori error estimators. The global reliability and local efficiency bounds are established both in H-1-norm and L-2-norm. Numerical experiments are provided to illustrate the performance of the proposed error estimators. (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 813-837, 2014

引用

页码：813 / 837

页数：25

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