D-N交替法与Schwartz交替法的收敛关系分析  

ANALYSIS OF THE CONVERGENCE RELATION BETWEEN D-N ALTERNATING PROCESS AND SCHWARTZ ALTERNATING PROCESS

作　　者：孙连友[1] 洪伟[1] 

机构地区：[1]东南大学毫米波国家重点实验室计算电磁学研究中心,南京210096

出　　处：《高等学校计算数学学报》2003年第4期362-371,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家863重大项目(2002AA123031);国家自然科学基金;海外青年合作研究基金(6504001167);国家杰出青年科学基金(60225001)

摘　　要：1 引言 在大型的科学与工程计算中,区域分解法是一种非常有效的方法.它将一个大区域上的问题转化为若干个小的子区域上的问题进行独立求解,使得在小型计算机上求解较大型问题成为可能.This paper has demonstrated that the Schwartz alternating process must converge if D-N alternating process has converged. Its technique is that the overlapping regions in Schwartz alternating process are considered as independent domains, then Schwartz alternating process could be transformed into D-N alternating process. Finally the convergence estimation of Schwartz alternating process could be obtained. The results show that its convergence rate is same as that of D-N alternating process.

关 键 词：D-N交替法 Schwartz交替法 区域分解法 收敛性 松弛因子 

分 类 号：O241.8[理学—计算数学]