基于自然边界归化的椭圆外区域各向异性问题的重叠型区域分解算法  

An Circular Artificial Boundary Overlapping Domain Decomposition Algorithm Based on Coordinates Changing and Natural Boundary Reduction Theory

作　　者：左文齐[1] 王寿城[1] 

机构地区：[1]合肥工业大学数学学院

出　　处：《佳木斯大学学报（自然科学版）》2012年第3期448-449,452,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：以Helmholtz方程为例,基于坐标变换及自然边界归化理论,提出了一种带圆型人工边界的重叠型区域分解算法.构造其算法并讨论其相应的收敛性,证明了算法是几何收敛的.An circular artificial boundary overlapping domain decomposition algorithm was proposed based on the coordinates changing and natural boundary reduction theory for solving the Helmholtz equation. The algorithm was constructed and the convergence was discussed. It is proved that the convergence rate of the algorithm is geometrical.

关 键 词：自然边界归化 重叠型区域分解算法 收敛性 

分 类 号：O241.82[理学—计算数学]