A computational algorithm to determine cracks from electrostatic boundary measurements

Fadil Santosa, Michael Vogelius

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


We consider the problem of determining the location and the size of a linear crack in an electrically conducting two dimensional medium. The probing device consists of a single pair of electrodes through which current is passed. Certain integrals of the corresponding boundary voltage potential constitute our measured data. The computational algorithm is based on a variation of Newton's method. The algorithm iteratively updates the location of the electrodes to achieve maximal sensitivity. In addition to a detailed account of its derivation we present computational results for this algorithm.

Original languageEnglish (US)
Pages (from-to)917-937
Number of pages21
JournalInternational Journal of Engineering Science
Issue number8
StatePublished - 1991

Bibliographical note

Funding Information:
tPartially supported by ONR contract NOtlO14-85-K-0725a nd NSF grant DMS-87-20428 (jointly funded by AFOSR). SPartially supported by NSF grant DMS-89-02532 and AFOSR contract 89-NM-605 917


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