Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

被引：2

作者：

Wang, YM ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Shanghai Normal Univ, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200234, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

fourth-order elliptic equations; monotone method; rate of convergence; global error;

D O I：

10.1016/j.aml.2005.04.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：332 / 339

页数：8

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