Maxwell方程反问题的小波-微分正则化算法  

A wavelet-differential regularization algorithm for solving the inverse problems of Maxwell's equation

作　　者：李壮[1] 韩波[1] 

机构地区：[1]哈尔滨工业大学数学系

出　　处：《黑龙江大学自然科学学报》2007年第6期708-711,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(40374046);哈尔滨工业大学跨学科研究基金资助项目(MD200319);海南省自然科学基金资助项目(10701)

摘　　要：构造了一种求解Maxwell方程反问题的小波-微分正则化混合反演算法。利用小波将反问题分解到不同尺度上,在最大尺度上采用微分正则化方法求得次级尺度的初始解,在其它尺度上进行迭代修正以获得全局最小点。算法结合了小波多尺度反演和微分正则化方法的优点,数值模拟说明了其较强的全局搜索能力。A wavelet -differential regularization hybrid inversion algorithm for solving the inverse problem of Maxwell＇s equations is constructed. The wavelet is applied to separate the original problem into different scales. In the maximum scale the differential regularization method is used to find the initial value of the next scale, in the other scales the iteration processing is carried out to obtain the global minimum point. The algorithm makes use of the respective advantages of the wavelet analyses and the differential regularization method, and possesses a higher global search capability which is showed by the numerical results.

关 键 词：Maxwell方程反问题 小波 微分正则化 混合反演 

分 类 号：P315[天文地球—地震学]