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 | |
| 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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