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.
出处
《计算数学》
CSCD
北大核心
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
