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- W2319913851 abstract "Summary This paper is concerned with the generalization of topological derivative, rooted in structural shape optimization, as it pertains to 3D inverse scattering involving elastic-wave identification of subsurface obstacles. Recently, elastodynamic expressions for topological sensitivity have been proposed for the imaging of both semi-infinite and finite solid bodies. Despite their utility, however, these developments are limited in the sense that they are restricted to the identification of subsurface cavities and that they do not provide an explicit link between the nucleated (infinitesimal) cavity and the finite size of a void being sought. To deal with these impediments, the proposed generalization is two-fold and involves: i) development of a formula for the nucleation of a solid inclusion, and ii) rigorous analysis of the second-order topological information that permits direct estimation of the obstacle size through the solution of a canonic least-squares problem, established on the basis of (first-order) topological sensitivity. Numerical examples are included to illustrate the proposed developments." @default.
- W2319913851 created "2016-06-24" @default.
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- W2319913851 date "2004-01-01" @default.
- W2319913851 modified "2023-09-22" @default.
- W2319913851 title "ON THE USE OF SECOND-ORDER TOPOLOGICAL INFORMATION FOR SUBSURFACE IMAGING BY ELASTIC WAVES" @default.
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