Recovering the conductivity from a single measurement of interior data

被引:68
|
作者
Nachman, Adrian [1 ,2 ]
Tamasan, Alexandru [3 ]
Timonov, Alexandre [4 ]
机构
[1] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada
[2] Univ Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Toronto, ON M5S 1A1, Canada
[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
[4] Univ S Carolina Upstate, Div Math & Comp Sci, Spartanburg, SC USA
关键词
EQUATIONS;
D O I
10.1088/0266-5611/25/3/035014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the problem of recovering the conductivity of an object from knowledge of the magnitude of one current density field in its interior. A known voltage potential is assumed imposed at the boundary. We prove identifiability and propose an iterative reconstruction procedure. The computational feasibility of this procedure is demonstrated in some numerical experiments.
引用
收藏
页数:16
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