A comparative analysis of the monotone iteration method for elliptic problems

被引：0
|
作者：
Gomes-Ruggiero, MA
Lopes, OF
Lopes, VLR
机构：
[1] Univ Estadual Campinas, UNICAMP, IMECC, Dept Appl Math, BR-13081970 Campinas, SP, Brazil
[2] Univ Estadual Campinas, UNICAMP, IMECC, Dept Math, BR-13081970 Campinas, SP, Brazil
来源：
APPLIED NUMERICAL MATHEMATICS | 2001年 / 36卷 / 2-3期
基金：
巴西圣保罗研究基金会;
关键词：
Newton's method; monotone iteration method; elliptic equations; cooperative elliptic systems;
D O I：
10.1016/S0168-9274(00)00005-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, after a theoretical explanation of the monotone iteration method, there are presented several numerical experiments with this method, when applied to solve some nonlinear elliptic equations. It is shown that, in some cases, uniqueness of solution can also be verified through the numerical implementation of the method. It is also presented its application to cooperative elliptic systems. For all the examples Newton's method is also applied and a comparison between the monotone iteration method and Newton's method is made. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
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页码：231 / 248
页数：18
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