A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation

被引：6
|
作者：
Gao, Jinghuai [1 ]
Wang, Dehua [1 ]
Peng, Jigen [2 ]
机构：
[1] Xi An Jiao Tong Univ, Inst Wave & Informat, Natl Engn Lab Offshore Oil Explorat, Sch Elect & Informat Engn, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
中国国家自然科学基金;
关键词：
SOURCE IDENTIFICATION; CRACKS;
D O I：
10.1155/2012/878109
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An inverse source problem in themodified Helmholtz equation is considered. We give a Tikhonov-type regularization method and set up a theoretical frame to analyze the convergence of such method. A priori and a posteriori choice rules to find the regularization parameter are given. Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.
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收藏
页数：13
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