[1]陈宇,黄建国.非薄板腐蚀探测问题的数值解法[J].南京师大学报(自然科学版),2008,31(04):29-32.
　Chen Yu,Huang Jianguo.Numerical Method for Corrosion Detection Problem in Non-Sheet Case[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(04):29-32.
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非薄板腐蚀探测问题的数值解法()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年04期
页码:
29-32
栏目:
数学
出版日期:
2008-12-30

文章信息/Info

Title:
Numerical Method for Corrosion Detection Problem in Non-Sheet Case
作者:
陈宇;黄建国;
上海交通大学数学系, 上海200240
Author(s):
Chen Yu;  Huang Jianguo
Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China
关键词:
有限元;  拟牛顿法;  反问题;  正则化
Keywords:
finite e lem en t;  Quas-iNew tonM ethod;  inve rse prob lem s;  regu la rization
分类号:
O242.23
摘要:
腐蚀探测问题是一个数学物理方程反问题,它通过外边界上可获知的电场数据反演求解腐蚀系数.通常所涉及的数据是带有噪声误差的.在无需假设板或管的厚度很薄的条件下,提出了一个基于Dirichlet-Neumann条件求解腐蚀系数的变分模型.该模型最终由最优化领域中的拟牛顿迭代法实现数值求解.给出若干理论分析,并用数值实验结果说明求解方法的可行有效性.
Abstract:
The problem o f recove ring the corrosion coe ffic ient in an inaccessib le inter ior part from the e lec tric inform ation in an accessible part of a physica l dom ain is studied, wh ich is a typical inv erse prob lem in m a them atical phy sics. U sua-l ly, the prescribed data have no ise erro r. A var ia tiona l form ulation is propo sed to der ive the corro sion coe fficient, based on the Dir ichlet-Neum ann data on the accessib le part. The quas-iN ew ton iterativ em ethod in op tim ization is used to so lve the nume rical so lution o f th is variational prob lem. Som e theoretica l ana lys is is prov ided, and the num erical experim ent show s that the m ethod is effec tive.

参考文献/References:

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备注/Memo

备注/Memo:
通讯联系人: 陈 宇, 博士, 研究方向: 计算数学. E-ma il:dabouxcy@ s jtu. edu. cn
更新日期/Last Update: 2013-05-05