A probe method for the inverse boundary value problem of non-stationary heat equations
A probe method for the inverse boundary value problem of non-stationary heat equations
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DOI：
10.1088/0266-5611/23/5/002
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发表时间：
2007-10
期刊：
影响因子：
2.1
通讯作者：
Y. Daido;Hyeonbae Kang;G. Nakamura
中科院分区：
文献类型：
--
作者：
Y. Daido;Hyeonbae Kang;G. Nakamura
研究了在各向同性均匀导热介质中识别夹杂物的反问题。夹杂物的形状可能随时间而变化。对于一空间维情况，我们开发了一种类似于已知的用于椭圆方程反边值问题的探测方法，并给出了从诺伊曼到狄利克雷映射识别包含的重建程序。
An inverse problem for identifying an inclusion inside an isotropic homogeneous heat conductive medium is considered. The shape of the inclusion may vary depending on time. For the one space dimensional case, we develop an analogue of the probe method known for inverse boundary value problems for elliptic equations and give a reconstruction procedure for identifying the inclusion from the Neumann to Dirichlet map.