A computational algorithm to determine cracks from electrostatic boundary measurements

Fadil Santosa; Michael Vogelius

doi:10.1016/0020-7225(91)90166-Z

A computational algorithm to determine cracks from electrostatic boundary measurements

Fadil Santosa, Michael Vogelius

School of Mathematics

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	917-937
Number of pages	21
Journal	International Journal of Engineering Science
Volume	29
Issue number	8
DOIs	https://doi.org/10.1016/0020-7225(91)90166-Z
State	Published - 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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title = "A computational algorithm to determine cracks from electrostatic boundary measurements",

abstract = "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.",

author = "Fadil Santosa and Michael Vogelius",

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",

year = "1991",

doi = "10.1016/0020-7225(91)90166-Z",

language = "English (US)",

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T1 - A computational algorithm to determine cracks from electrostatic boundary measurements

AU - Santosa, Fadil

AU - Vogelius, Michael

N1 - 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

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

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JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

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ER -

A computational algorithm to determine cracks from electrostatic boundary measurements

Abstract

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