CONVERGENCE OF A RECONSTRUCTION METHOD FOR THE INVERSE CONDUCTIVITY PROBLEM

被引：37
|
作者：
DOBSON, DC
机构：
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 02期
关键词：
INVERSE PROBLEM; RECONSTRUCTION; CONVERGENCE;
D O I：
10.1137/0152025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse conductivity problem is that of reconstructing a spatially varying isotropic conductivity in the interior of some region by means of steady-state measurements taken at the boundary. Reconstruction schemes including least-squares type minimization methods have been widely studied and implemented, but convergence analysis has been largely ignored. This paper establishes the convergence of a well-known least-squares minimization scheme-the Levenberg Marquardt method-on a regularized formulation of the inverse conductivity problem.
引用
收藏
页码：442 / 458
页数：17
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