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求解非线性反问题的大范围收敛梯度正则化算法
Alternative TitleGlobal convergence gradient regularization algorithm for solving nonlinear inverse problems
崔凯; 李兴斯; 李宝元; 杨国伟
Source Publication计算力学学报
2005-08-30
Volume22Issue:4Pages:415-419
ISSN1007-4708
Abstract基于同伦映射的思想,改进了求解非线性反问题的梯度正则化算法.通过路径跟踪有效地拓宽了梯度正则化算法求解的收敛范围.对于正则化参数的修正,通过引入拟Sigmoid函数,提出了一种下降速率可调的连续化参数修正方法,在保证迭代稳定的条件下,得到较好的计算效率,同时保证该算法具有很好的抵抗观测噪声能力.实际算例表明,该方法收敛范围宽,计算效率高,在存在较强观测噪声的条件下也能得到很好的反演结果.
Keyword反演 梯度正则化 同伦方法 正则化参数
Indexed ByCSCD
Language中文
Funding Organization国家重点基础研究发展规划(G1999032805)资助项目.
CSCD IDCSCD:2024472
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/42038
Collection力学所知识产出(1956-2008)
Corresponding Author崔凯
Recommended Citation
GB/T 7714
崔凯,李兴斯,李宝元,等. 求解非线性反问题的大范围收敛梯度正则化算法[J]. 计算力学学报,2005,22(4):415-419
APA 崔凯,李兴斯,李宝元,&杨国伟.(2005).求解非线性反问题的大范围收敛梯度正则化算法.计算力学学报,22(4),415-419.
MLA 崔凯,et al."求解非线性反问题的大范围收敛梯度正则化算法".计算力学学报 22.4(2005):415-419.
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