基于自然边界归化的半无界区域上的重叠型区域分解算法  

Overlapping Domain Decomposition Method Based on the Natural Boundary Reduction over Unbounded Half Plane

作　　者：刘敬刚[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《淮北煤炭师范学院学报（自然科学版）》2007年第2期11-15,共5页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

基　　金：华北电力大学青年教师科研基金资助项目(200511015)

摘　　要：基于半平面上的自然边界归化理论,给出了一类带凹槽的半无界区域上椭圆型方程边值问题的重叠型区域分解算法,并证明了该算法的几何收敛性,数值例子表明了算法的有效性.Based on the theory of natural boundary reduction, overlapping domain decomposition method is applied to elliptic boundary value problems over a kind of unbounded half plane with a cave, It is proved that the convergence rate of the algorithm is geometrical. The numerical example shows that the algorithm is effective.

关 键 词：自然边界归化 椭圆型边值问题 重叠型区域分解法 

分 类 号：O241.82[理学—计算数学]