| 求解泊松方程的多子域超松弛并行迭代算法 |
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| 引用本文： | 许秋燕,张现强. 求解泊松方程的多子域超松弛并行迭代算法[J]. 宁夏大学学报(自然科学版), 2013, 0(2): 97-100 |
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| 作者姓名： | 许秋燕 张现强 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏银川750021 |
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| 基金项目： | 国家自然科学基金资助项目（11126053） |
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| 摘 要： | 基于区域分解思想,对二维泊松方程提出了一种多子域超松弛并行迭代算法.首先将求解区域划分为多个子区域,利用超松弛迭代格式构造出若干分组显式格式,然后结合边界条件在迭代次数为奇数和偶数时,分别给出新算法的实现过程.最后通过具体的数值算例验证了此算法的有效性和优越性.
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| 关 键 词： | 泊松方程 并行计算 区域分解 分组显式 |
A Multi-subdomain Parallel Super Overrelaxation Iterative Algorithm for Solving Poisson Equation |
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| Xu Qiuyan,Zhang Xianqiang. A Multi-subdomain Parallel Super Overrelaxation Iterative Algorithm for Solving Poisson Equation[J]. Journal of Ningxia University(Natural Science Edition), 2013, 0(2): 97-100 |
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| Authors: | Xu Qiuyan Zhang Xianqiang |
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| Affiliation: | (School of Mathematics and Computer Science, Ningxia University, Yinchuan 710021, China) |
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| Abstract: | Based on the domain decomposition strategy, a multi-subdomain super overrelaxation parallel iterative algorithm is provided. The domain is divided into some sub-domains and several group explicit schemes are constructed from the super overrelaxation difference schemes. In combining with the boundary condition, the implementation of the presented algorithm is performed at odd and even iteration numbers. Finally, the specific numerical experiment was carried out to examining the effectiveness and superiority. |
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| Keywords: | Poisson equation parallel computation domain decomposition group explicit method |
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