| 求解线性椭圆型优化控制问题的多重网格方法 |
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| 引用本文： | 邱岳东. 求解线性椭圆型优化控制问题的多重网格方法[J]. 哈尔滨商业大学学报(自然科学版), 2014, 0(6): 744-748 |
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| 作者姓名： | 邱岳东 |
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| 作者单位： | 暨南大学信息科学技术学院,广州,510632 |
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| 摘 要： | 针对线性椭圆型优化控制问题,基于有限差分法的离散提出了集体平滑多重网格方法和多重网格最优化方法.将这两种方法进行拓展和对比,并由数值试验说明了集体平滑多重网格方法求解椭圆型优化控制问题的速度更快且更加稳定.
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| 关 键 词： | 椭圆型优化控制问题 有限差分法 多重网格方法 |
Multi-grid methods for linear elliptic optimal control problem |
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| QIU Yue-dong. Multi-grid methods for linear elliptic optimal control problem[J]. Journal of Harbin University of Commerce :Natural Sciences Edition, 2014, 0(6): 744-748 |
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| Authors: | QIU Yue-dong |
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| Affiliation: | QIU Yue-dong (School of Information Technology, Jinan University , Guangzhou 510632 , China) |
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| Abstract: | The collective smoothing multi-grid method and the multi-grid for optimization method were proposed for linear elliptic optimal control problem based on the finite difference method. The two methods for this problem were developed and compared. The numerical experiments results demonstrated that the collective smoothing multi-grid method for linear elliptic optimal control problem was more efficient and more stable. |
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| Keywords: | linear elliptic optimal control problem finite difference method multi -grid method |
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