数学杂志2013，Vol.33Issue(4)：617-624,8.
牛顿拉夫逊算法在ERT反演问题中的应用研究
THE RESEARCH OF ELECTRICAL RESISTIVITY RECONSTUCTION BASED ON NEWTON-RAPHSON METHOD
摘要
Abstract
The paper studies Newton-Raphson method in the inverse problem of electrical resistivity tomography (ERT).By Combining with least square method and Tikhonov regularization,the resistivity distribution to the carbon fiber composite layer is reconstructed which is in accordance with the structure of the experimental specimen.The mathematical inversion model based on the modified Newton-Raphson algorithm is generalized.关键词
电阻率成像(ERT)/牛顿拉夫逊算法/最小二乘法/Tikhonov正则化Key words
electrical resistivity tomography/ Newton-Raphson method/ least square method/ Tikhonov regularization分类
数理科学引用本文复制引用
方玺,陈璟,何朗,葛权耕..牛顿拉夫逊算法在ERT反演问题中的应用研究[J].数学杂志,2013,33(4):617-624,8.基金项目
Supported by National Natural Science Foundation of China (11102142) （11102142）
The Fundamental Research Funds for the Central Universities (2012-IV-057 （）
2013-la-008). （）
