ON FINDING A SURFACE CRACK FROM BOUNDARY MEASUREMENTS

Citation
Ar. Elcrat et al., ON FINDING A SURFACE CRACK FROM BOUNDARY MEASUREMENTS, Inverse problems, 11(2), 1995, pp. 343-351
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
ISSN journal
02665611
Volume
11
Issue
2
Year of publication
1995
Pages
343 - 351
Database
ISI
SICI code
0266-5611(1995)11:2<343:OFASCF>2.0.ZU;2-A
Abstract
We prove the uniqueness of the determination of a surface crack from o ne special boundary measurement of an electrical or elastic field. The n we suggest and test a numerical algorithm for identification of a po lygonal plane crack based on the Schwarz-Christoffel formula. The nume rical experiments with cracks consisting of one or two intervals show the high stability and precision of this algorithm.