应用同伦正则化算法反演二维溶质运移模型中的弥散系数  

Numerical inversion of dispersion coefficient in 2D solute transportation model by homotopy regularization algorithm

作　　者：娄和忠[1] 李功胜[1] 贾现正[1] 

机构地区：[1]山东理工大学理学院应用数学所,山东淄博255091

出　　处：《山东理工大学学报（自然科学版）》2012年第2期1-4,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(11071148;10926194);山东省自然科学基金资助项目(ZR2011AQ014)

摘　　要：利用同伦正则化算法探讨了二维对流弥散方程的依赖空间变量的弥散系数反演问题.讨论了初始迭代值、数值微分步长、以及收敛精度对算法实现的影响.数值模拟表明,同伦正则化算法对于此类参数反演问题是一种有效的方法.This paper deals with an inverse problem for determining space-dependent dispersion coefficient in two-dimensional advection-dispersion equation by homotopy regularization algorithm.Several factors affecting the algorithm＇s realization are discussed which are initial iterations,numerical differential steps and convergence precision.Numerical simulations show that the homotopy regularization algorithm is efficient to the inverse problem discussed here.

关 键 词：二维溶质运移 对流弥散方程 同伦正则化算法 弥散系数 参数反演 

分 类 号：O175.29[理学—数学]