半线性椭圆互补问题的上解与下解(英文)  

Upper and Lower Solutions for Semilinear Elliptic Complementarity Problems

作　　者：关力[1] 曾金平[1] 

机构地区：[1]东莞理工学院计算机学院,广东东莞523808

出　　处：《应用数学》2014年第1期96-99,共4页Mathematica Applicata

基　　金：Supported by the NSF of China(11271069)

摘　　要：本文针对半线性椭圆互补问题,提供几种获取该问题的一个上解和下解的方式.在求解过程中,仅仅需要求解一个线性互补问题或线性方程组.所得结果可应用于众多单调算法的初始化.In this paper, we provide several procedures to produce an upper or lower solution for semilinear elliptic complementarity problems. In the process, only a linear complementarity problem or merely a system of linear equations is needed to be solved. The results we obtained can be applied in the initialization of various monotone algorithms based on upper or lower solutions.

关 键 词：互补问题 下解 上解 单调迭代 

分 类 号：O221[理学—运筹学与控制论]