Convergence of a reconstruction method for the inverse conductivity problem
Convergence of a reconstruction method for the inverse conductivity problem
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DOI：
10.1137/0152025
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发表时间：
1992-04
影响因子：
1.9
通讯作者：
D. Dobson
中科院分区：
文献类型：
--
作者：
D. Dobson
电导率反问题是通过在边界处进行的稳态测量来重建某个区域内部的空间变化的各向同性电导率。重建计划，包括最小二乘型最小化方法已被广泛研究和实施，但收敛性分析已在很大程度上被忽视。本文建立了著名的最小二乘最小化方案--Levenberg-Marquardt方法--在电导率逆问题的正则化公式上的收敛性。
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.