The monotonicity method for the inverse crack scattering problem
The monotonicity method for the inverse crack scattering problem
复制标题
裂纹散射逆问题的单调性方法
DOI：
10.1080/17415977.2020.1733998
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Takashi Furuya and Ryuji Saiina
中科院分区：
文献类型：
--
作者：
Tomohiro Daimona;Takashi Furuya and Ryuji Saiina
反声散射问题的单调性方法是通过远场算符与人工算符的比较来理解未知物体与人工物体之间的包含关系。本文介绍了该方法在裂纹逆散射问题中的发展。我们的目的是给出以下两个指标：一个（定理1.1）是确定未知弧中是否包含人工小弧。另一个（定理1.2）是人工大域是否包含未知域。最后给出了基于定理1.1的数值算例。
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.