On Application of Collocation Method for Solving Inverse Problem of Diffraction by an Inhomogeneous Solid

被引：0
作者：
Smirnov, Yu. G. [1 ]
Tsupak, A. A. [1 ]
机构：
[1] Penza State Univ, Penza 440026, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 10期
关键词：
inverse diffraction problem; integro-differential equation; collocation method; SCATTERING; UNIQUENESS;
D O I：
10.1134/S1995080224605873
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of reconstruction of an unknown refractive index of an inhomogeneous body is considered. The two-step method for solving the problem is applied. Collocation method for solving singular integro-differential equations is used. Piecewise linear compactly supported basis functions are introduced. Two ways to determine collocation points inside the inhomogeneity domain are suggested. Several two-dimensional problems are numerically solved using the the two-step method. Tikhonov regularization is used for accurate solving integral equations of the inverse diffraction problem with noisy near field data.
引用
收藏
页码：4806 / 4814
页数：9
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