INVERSE ELASTIC-SCATTERING FROM A CRACK

Authors
KRESS R
Citation
R. Kress, INVERSE ELASTIC-SCATTERING FROM A CRACK, Inverse problems, 12(5), 1996, pp. 667-684
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
12
Issue
5
Year of publication
1996
Pages
667 - 684
Database
ISI
SICI code
0266-5611(1996)12:5<667:IEFAC>2.0.ZU;2-X
Abstract
A Newton method is presented for the approximate solution of the inver se problem to determine the shape of a two-dimensional crack from a kn owledge of the far field pattern for the scattering of time-harmonic e lastic plane waves. Frechet differentiability with respect to the boun dary is shown for the far field operator, which for a fixed incident w ave maps the crack onto the fat field pattern of the scattered wave. S ome numerical reconstructions illustrate the feasibility of the method .