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用同伦方法反演非饱和土中溶质迁移参数
崔凯; 杨国伟; 李兴斯; 李宝元
Source Publication力学学报
2005
Volume37Issue:3Pages:307-312
ISSN0459-1879
Abstract非饱和土中溶质迁移参数反演问题可以归结为非线性算子方程的求解问题.将同伦方法引入该问题的求解,通过构造线性同伦将原问题转化为求解同伦函数最小值的无约束优化问题.同时在分析了同伦参数正则化效应的基础上,提出一种两段同伦参数修正方法.即在求解的初始阶段,根据拟Sigmoid函数调整同伦参数, 以追踪同伦路径,保证计算稳定地进行;在迭代的后期,采用与残差相关的同伦参数修正方法,以抵抗观测噪声对求解的影响.数值算例为求解带有平衡及非平衡吸附效应的一维非饱和土中溶质迁移模型参数反演问题, 计算结果表明了该方法的大范围收敛性及较强的抵抗观测噪声的能力.
Subject Area力学
Indexed BySCI
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/16140
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
崔凯,杨国伟,李兴斯,等. 用同伦方法反演非饱和土中溶质迁移参数[J]. 力学学报,2005,37,3,:307-312.
APA 崔凯,杨国伟,李兴斯,&李宝元.(2005).用同伦方法反演非饱和土中溶质迁移参数.力学学报,37(3),307-312.
MLA 崔凯,et al."用同伦方法反演非饱和土中溶质迁移参数".力学学报 37.3(2005):307-312.
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