含非线性源项障碍问题的乘性非重叠区域分解算法  

Multiplicative Domain Decomposition Methods for Variational Inequalities with Nonlinear Source Terms

作　　者：陈高洁[1] 曾金平[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《应用数学》2008年第2期411-416,共6页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10671060)

摘　　要：本文提出了求解含非线性源项障碍问题一种乘性非重叠区域分解算法,其中子区域间的界面条件为Robin条件;得到了算法的收敛性.并通过数值算例说明,适当的Robin参数的选取可以大大提高算法的收敛速度.In this paper,multiplicative domain decomposition iterative procedures for variational inequalities with nonlinear source terms are developed and analyzed. In the methods, the computational domains are split into nonoverlapping subdomains, and the unknown values at the common interface between adjacent subdomains have been updated by Robin transmission conditions with parameters. Convergence is established for the proposed methods. Numerical results show that the convergence rate can be speeded up by choosing Robin parameters properly.

关 键 词：区域分解 变分不等式 Robin条件 

分 类 号：O241[理学—计算数学]