Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data

被引：0
|
作者：
Le T. [1 ,2 ]
Khoa V.A. [3 ]
Klibanov M.V. [1 ]
Nguyen L.H. [1 ]
Bidney G.W. [1 ]
Astratov V.N. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, 28223, NC
[2] Department of Mathematics, North Carolina State University, Raleigh, 27607, NC
[3] Department of Mathematics, Florida A & M University, Tallahassee, 32307, FL
来源：
Journal of Applied and Industrial Mathematics | 2023年 / 17卷 / 04期
基金：
美国国家科学基金会;
关键词：
coefficient inverse problem; convexification; data propagation; experimental data; global convergence; gradient descent method;
D O I：
10.1134/S199047892304018X
中图分类号：
学科分类号：
摘要：
Abstract: The reconstruction of physical properties of a medium from boundary measurements,known as inverse scattering problems, presents significant challenges. The present study aims tovalidate a newly developed convexification method for a 3D coefficient inverse problem in the caseof buried unknown objects in a sandbox, using experimental data collected by a microwavescattering facility at The University of North Carolina at Charlotte. Our study considers theformulation of a coupled quasilinear elliptic system based on multiple frequencies. The system canbe solved by minimizing a weighted Tikhonov-like functional, which forms our convexificationmethod. Theoretical results related to the convexification are also revisited in this work. © Pleiades Publishing, Ltd. 2023.
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收藏
页码：908 / 927
页数：19
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