A Novel Method for the Numerical Solution of a Hybrid Inverse Problem of Electrical Conductivity Imaging

被引：0
作者：
Timonov A. [1 ,2 ]
机构：
[1] St.Petersburg Department of Steklov Institute of Mathematics, St. Petersburg
[2] University of South Carolina (Upstate campus), Columbia, SC
来源：
Journal of Mathematical Sciences | 2023年 / 273卷 / 4期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s10958-023-06517-8
中图分类号：
学科分类号：
摘要：
A novel method for the numerical solution of a hybrid (coupled physics) inverse problem is proposed. Based on a regularized weighted mean curvature flow equation, this method can be considered as an alternative to the variational approach to solving weighted least gradient Dirichlet problems arising in electrical conductivity imaging, in particular, in Current Density Impedance Imaging (CDII). Utilizing the Sternberg–Ziemer theory, convergence of regularized solutions to a unique function of weighted least gradient is established. The numerical study is conducted to demonstrate the practicability and computational effectiveness of the proposed method. © 2023, Springer Nature Switzerland AG.
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页码：511 / 526
页数：15
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