解带Robin边界条件的变分不等式的区域分解算法  

Domain Decomposition Method for Variational Inequalities with Robin Boundary Condition

作　　者：曾金平[1] 陈高洁[2] 

机构地区：[1]东莞理工学院软件学院,广东东莞523808 [2]湖南大学数学与计量经济学院

出　　处：《系统仿真学报》2007年第17期3949-3950,4048,共3页Journal of System Simulation

基　　金：国家973项目(2004CB719402);国家自然科学基金项目(10671060)

摘　　要：针对一类带Robin边界条件的椭圆型变分不等式问题,构造基于Robin内边界传输条件的非重叠加性区域分解算法,并建立了算法的收敛性。这类区域分解算法广泛应用于求解偏微分方程边值问题并取得了一系列收敛性结果。数值结果表明,基于Robin边界传输条件的区域分解法可通过调节内边界传输条件中的Robin参数,来加快算法的收敛速度。Nonoverlapping additive domain decomposition method for a kind of elliptic variational inequalities with Robin boundary condition was developed and analyzed. In the method, the unknown values at the common interface between adjacent subdomains were updated by Robin transmission conditions. Convergence was established for the proposed methods This kind of domain decomposition methods have been widely used to solve the boundary value problems of partial differential equation and many convergence theorems have been obtianed. Numerical experiments appeared that a greater acceleration of the method could be obtained by choosing the Robin parameter suitably.

关 键 词：Robin条件 区域分解算法 变分不等式 收敛性 

分 类 号：O211[理学—概率论与数理统计]