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Numerical solution of the variation boundary integral equation for inverse problems

✍ Scribed by Rafael Gallego; Javier Suárez

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
145 KB
Volume
49
Category
Article
ISSN
0029-5981

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✦ Synopsis

In this paper a procedure to solve the identiÿcation inverse problems for two-dimensional potential ÿelds is presented. The procedure relies on a boundary integral equation (BIE) for the variations of the potential, ux, and geometry. This equation is a linearization of the regular BIE for small changes in the geometry. The aim in the identiÿcation inverse problems is to ÿnd an unknown part of the boundary of the domain, usually an internal aw, using experimental measurements as additional information. In this paper this problem is solved without resorting to a minimization of a functional, but by an iterative algorithm which alternately solves the regular BIE and the variation BIE. The variation of the geometry of the aw is modelled by a virtual strain ÿeld, which allows for greater exibility in the shape of the assumed aw. Several numerical examples demonstrate the e ectiveness and reliability of the proposed approach.

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