The monotonicity method for the inverse crack scattering problem

被引：11

作者：

Daimon, Tomohiro ^{[1
]}

Furuya, Takashi ^{[2
]}

Saiin, Ryuji ^{[1
]}

机构：

[1] AISIN SOFTWARE Co Ltd, Nagoya, Aichi, Japan

[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2020年 / 28卷 / 11期

关键词：

Inverse scattering; monotonicity method; crack detection; far field operator; Helmholz equation;

D O I：

10.1080/17415977.2020.1733998

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The monotonicity method for the inverse acoustic scattering problem is to understand the inclusion relation between an unknown object and artificial one by comparing the far field operator with the artificial operator. This paper introduces the development of this method to the inverse crack scattering problem. Our aim is to give the following two indicators: One (Theorem 1.1) is to determine whether an artificial small arc is contained in the unknown arc. The other one (Theorem 1.2) is whether an artificial large domain contains the unknown one. Finally, numerical examples based on Theorem 1.1 are given.

引用

页码：1570 / 1581

页数：12

共 11 条

[1]

Colton D, 2013, CLASS APPL MATH

[2] MONOTONICITY IN INVERSE MEDIUM SCATTERING ON UNBOUNDED DOMAINS [J].