一类各向异性外问题的重叠型区域分解算法  

THE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR AN ANISOTROPIC EXTERIOR ELLIPTIC PROBLEM

作　　者：朱薇[1] 杜其奎[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,南京210097

出　　处：《计算数学》2004年第4期459-472,共14页Mathematica Numerica Sinica

基　　金：国家自然科学基金(NO.10471067);南京师范大学"十五"211项目

摘　　要：本文以椭圆外调和问题的自然边界归化为基础,提出了求解各向异性常系数椭圆方程的一种重叠型区域分解算法,并分析了算法的收敛性及收敛速度,理论分析及数值实验表明,该方法对于求解各向异性外问题非常有效。In this paper, an overlapping domain decomposition method based on the natural boundary reduction on elliptic boundary is presented for a kind of anisotropic elliptic problem with constant coefficients in an exterior domain. The convergence of this algorithm is given. The convergent rate of the method for an exterior elliptic domain is also analyzed. Numerical results are presented here. Theoretical analysis as well as numerical results show that our method is performance for anisotropic exterior elliptic problems.

关 键 词：常系数 椭圆方程 求解 收敛性 收敛速度 数值实验 各向异性 区域分解算法 调和 边界 

分 类 号：O241[理学—计算数学]