A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem

被引：22

作者：

Bi, Chunjia ^{[2
]}

Ginting, Victor ^{[1
]}

机构：

[1] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

[2] Yantai Univ, Dept Math, Yantai 264005, Shandong, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2009年 / 114卷 / 01期

基金：

中国国家自然科学基金;

关键词：

SUPERCONVERGENCE; APPROXIMATIONS;

D O I：

10.1007/s00211-009-0247-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze a residual-type a posteriori error estimator of the finite volume element method for a quasi-linear elliptic problem of nonmonotone type and derive computable upper and lower bounds on the error in the H (1)-norm. Numerical experiments are provided to illustrate the performance of the proposed estimator.

引用

页码：107 / 132

页数：26

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