| 一类Helmholtz方程Cauchy问题的最优误差界 |
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| 引用本文： | 钱爱林,毛建峰. 一类Helmholtz方程Cauchy问题的最优误差界[J]. 兰州理工大学学报, 2011, 37(5): 163-168 |
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| 作者姓名： | 钱爱林 毛建峰 |
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| 作者单位： | 咸宁学院,数学与统计学院,湖北咸宁437100 |
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| 基金项目： | 湖北省优秀中青年创新团队项目(T201009); 湖北省教育厅青年基金(Q20102804) |
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| 摘 要： | 考虑一类Helmholtz方程Cauchy问题,给出这个问题的最优误差界.用谱正则化方法和修正的Tikhonov正则化方法来求解这个问题,得到Holder型误差估计.根据正则化的最优理论,误差估计是阶数最优的.
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| 关 键 词： | 不适定问题 Helmholtz方程 谱正则化 Tikhonov正则化 误差估计 |
Optimal error bound for a class of Cauchy problem of Helmholtz equation |
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| QIAN Ai-lin,MAO Jian-feng. Optimal error bound for a class of Cauchy problem of Helmholtz equation[J]. Journal of Lanzhou University of Technology, 2011, 37(5): 163-168 |
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| Authors: | QIAN Ai-lin MAO Jian-feng |
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| Affiliation: | QIAN Ai-lin,MAO Jian-feng(Dept.of Mathematics and Statistics,Xianning College,Xianning 437100,China) |
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| Abstract: | A class of Cauchy problem in the Helmholtz equation was considered and the optimal error bound for this problem was given.A spectral regularization method and a revised Tikhonov regularization method were used to solve this problem and the Hoder-type error estimate was obtained.According to the optimal theory of regularization,the error estimate was order-optimal. |
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| Keywords: | ill-posed problems Helmholtz equation spectral regularization Tikhonov regularization error estimate |
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