| 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 |
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| 引用本文： | 刘敬刚.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[J].淮北煤炭师范学院学报(自然科学版),2007,28(2):11-15. |
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| 作者姓名： | 刘敬刚 |
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| 作者单位： | 华北电力大学数理系,河北,保定,071003 |
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| 基金项目： | 华北电力大学青年教师科研基金资助项目(200511015) |
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| 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.
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| 关 键 词： | 自然边界归化 椭圆型边值问题 重叠型区域分解法 |
| 文章编号： | 1672-7177（2007）02-0011-05 |
| 收稿时间： | 2007-02-14 |
| 修稿时间： | 2007-02-14 |
Overlapping Domain Decomposition Method Based on the Natural Boundary Reduction over Unbounded Half Plane |
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| LIU Jing-gang.Overlapping Domain Decomposition Method Based on the Natural Boundary Reduction over Unbounded Half Plane[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2007,28(2):11-15. |
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| Authors: | LIU Jing-gang |
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| Institution: | Department of Applied Mathematics and Physics, North China Electric Power University, 071003, Baoding, Hebei, China |
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| Abstract: | 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. |
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| Keywords: | natural boundary reduction elliptic boundary value problems overlapping domain decomposition method |
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