| 无界区域上的多子域D-N交替算法 |
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| 引用本文： | 张丹丹.无界区域上的多子域D-N交替算法[J].佳木斯大学学报,2008,26(6). |
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| 作者姓名： | 张丹丹 |
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| 作者单位： | 合肥工业大学数学系,安徽合肥230009 |
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| 摘 要： | 以圆外的二维调和外问题为例,在自然边界归化的基础上,将两子域的D-N交替算法直接推广,提出了无界区域上的多子域非重叠型区域分解算法,并给出了离散情形D-N算法,分析了该算法的收敛性与Richardson迭代法的等价性.不重叠型的区域分解算法是数值求解偏微分的最有效的方法之一,该算法对于求解无界区域问题非常有效.
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| 关 键 词： | 自然边界归化 区域分解 多子域D-N交替算法 |
On the Non-overlapping Domain Decomposition Methods for Unbouded Domain in Multi-Sub-Domain Case |
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| ZHANG Dan-dan.On the Non-overlapping Domain Decomposition Methods for Unbouded Domain in Multi-Sub-Domain Case[J].Journal of Jiamusi University(Natural Science Edition),2008,26(6). |
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| Authors: | ZHANG Dan-dan |
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| Institution: | Department of Mathematics;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | In the paper,an non-overlapping domain decomposition method based on the natural boundary is studied.It is the direct promotion of the two sub-domain of the D-N alternating method.Discrete D-N algorithm is given.The convergence of this algorithm is given and it is equivalent to the Richardson iterative algorithm.The algorithm for solving the unbounded domain is very effective. |
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| Keywords: | natural boundary reduction domain decomposition method D-N algorithm with multi-sub-domain |
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