A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix

被引：0
作者：
Tadi, M. [1 ]
机构：
[1] Cent Connecticut State Univ, Dept Engn, 1615 Stanly St, New Britain, CT 06053 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 150卷
关键词：
Helmholtz equation; Inverse problem; Matrix inversion; Tikhonov regularization; MEDIUM SCATTERING; EQUATION;
D O I：
10.1016/j.camwa.2023.09.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note is concerned with a computational method for an inverse problem for Helmholtz equation. It seeks to recover a subsurface material property based on data collected at the boundary. The major improvement in this method is that it does not require the linearization of the working equations. The method is quite simple and requires only one set of data to obtain a good approximation of the unknown material property. Additional set of data can improve the quality of the recovered function. A number of numerical examples, both one-D and 2-D, are used to study the applicability of the method in the presence of noise
引用
收藏
页码：125 / 131
页数：7
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