Detecting cavities by electrostatic boundary measurements

被引：45

作者：

Alessandrini, G ^{[1
]}

Morassi, A

Rosset, E

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, Trieste, Italy

[2] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy

来源：

INVERSE PROBLEMS | 2002年 / 18卷 / 05期

关键词：

D O I：

10.1088/0266-5611/18/5/308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper and lower bounds on the size of an unknown cavity, or of a perfectly conducting inclusion, in an electrical conductor in terms of boundary measurements of voltage and current. Such bounds, which might be used as a decision tool in quality testing of materials, are obtained by a nontrivial extension of previous results (Alessandrini G, Rosset E and Seo J K 2000 Proc. Am. Math. Soc. 128 53-64) regarding inclusions of finite, nonzero conductivity.

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页码：1333 / 1353

页数：21

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