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

页码：4806 / 4814

页数：9

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