摘要
针对重力测定反问题,提出将其离散为线性不适定问题,利用小波变换方法进行数值求解。该方法将小波变换和正则化方法相结合,选取小波函数作为一组基底,将原不适定问题转化为粗子空间上的适定问题,并给出选取粗子空间基的方法。通过数值模拟已有方法和小波变换方法求解结果的比较,表明了小波变换方法的可行性和有效性。
The inverse gravity problem is dispersed to be a linear ill-posed one.A method of wavelet transformation is presented for the solution of the linear ill-posed problem.It combines wavelet transformation with regularization method to solve ill-posed problems,and choices a wavelet function as the base function,which takes full advantage of the wavelet with compact support,and converts the ill-posed problem into a posed one in the coarse space.Compared with existing methods,the numerical results of wavelet transform show the applicability and effectiveness of the proposed method.
出处
《重庆科技学院学报(自然科学版)》
CAS
2011年第2期172-176,共5页
Journal of Chongqing University of Science and Technology:Natural Sciences Edition
基金
国家自然基金项目(50579061)
安徽科技学院引进人才基金项目(ZRC2009243)
关键词
重力测定
反问题
小波变换
积分方程
gravimetry
inverse problem
wavelet transformation
integral equation