Linear sampling method for identifying cavities in a heat conductor

被引：15
作者：
Heck, Horst [1 ]
Nakamura, Gen [2 ]
Wang, Haibing [2 ,3 ]
机构：
[1] Tech Univ Darmstadt, FB Math, D-64289 Darmstadt, Germany
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
[3] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
INVERSE PROBLEMS | 2012年 / 28卷 / 07期
基金：
日本学术振兴会;
关键词：
PROBE METHOD; NUMERICAL IMPLEMENTATION; IMPEDANCE;
D O I：
10.1088/0266-5611/28/7/075014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an inverse problem of identifying the unknown cavities in a heat conductor. Using the Neumann-to-Dirichlet map as measured data, we develop a linear sampling-type method for the heat equation. A new feature is that there is a freedom to choose the time variable, which suggests that we have more data than the linear sampling methods for the inverse boundary value problem associated with EIT and inverse scattering problem with near field data.
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收藏
页数：14
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