Giovanni Alessandrini et al 2002 Inverse Problems 18 1333 doi:10.1088/0266-5611/18/5/308
Detecting cavities by electrostatic boundary measurements
Giovanni Alessandrini1, Antonino Morassi2 and Edi Rosset1
Show affiliationsWe 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.
- PACS
- MSC
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35R30 Inverse problems (undetermined coefficients, etc.) for PDE
35N15
-Neumann problem and generalizations; formal complexes (See also 32W05, 32W10, 58J10)
- Subjects
- Dates
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Issue 5 (October 2002)
Received 21 March 2002, in final form 26 June 2002
Published 19 August 2002
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Detecting cavities by electrostatic boundary measurements
Giovanni Alessandrini et al 2002 Inverse Problems 18 1333
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