SIAM Journal on Applied Mathematics


SIAM J. Appl. Math., 55(3), 677–706. (30 pages)

Identification of a Core from Boundary Data

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Article Data

History

Submitted: 30 September 1993
Accepted: 16 May 1994
Published online: 05 July 2006

AMS Subject Headings

31B20, 35J05, 35R25, 35R30

Publication Data

ISSN (print): 0036-1399
ISSN (online): 1095-712X
Publisher: Society for Industrial and Applied Mathematics
CODEN: smjmap
Wolfgang Ring
https://doi.org/10.1137/S0036139993256308

The problem of determining the interface separating regions of constant density from boundary data of a solution of the corresponding potential equation is considered. An equivalent formulation as a nonlinear integral equation is obtained. Fourier methods are used to analyze and implement the problem. Numerical experiments based on a regularized least-squares method are presented.

Copyright © 1995 Society for Industrial and Applied Mathematics
Permalink: https://doi.org/10.1137/S0036139993256308

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