Iterative regularization for elliptic inverse problems

被引：13
|
作者：
Khan, A. A.
Rouhani, B. D.
机构：
[1] Univ Wisconsin, Dept Math, Rice Lake, WI 54868 USA
[2] Univ Texas, Dept Math Sci, El Paso, TX 79968 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 06期
关键词：
inverse problem; parameter identification; variational inequality; regularization; auxiliary problem principle; iterative methods;
D O I：
10.1016/j.camwa.2007.02.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Elliptic inverse problems can be formulated using coefficient-dependent energy least-squares functionals, resulting in a smooth, convex objective functional. A variational inequality emerges as a necessary and sufficient optimality condition. The principle of iterative regularization, when coupled with the auxiliary problem principle, results in a strongly convergent scheme for the solution of elliptic inverse problems. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：850 / 860
页数：11
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