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arXiv · 1502.04842

Global stability for an inverse problem in soil-structure interaction

Giovanni Alessandrini·Antonino Morassi·Edi Rosset·Sergio Vessella
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Abstract

We consider the inverse problem of determining the Winkler subgrade reaction coefficient of a slab foundation modelled as a thin elastic plate clamped at the boundary. The plate is loaded by a concentrated force and its transversal deflection is measured at the interior points. We prove a global H\"{o}lder stability estimate under (mild) regularity assumptions on the unknown coefficient.

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Giovanni Alessandrini, Antonino Morassi, Edi Rosset, Sergio Vessella. 2015-02-17. Global stability for an inverse problem in soil-structure interaction. https://doi.org/10.1098/rspa.2015.0117

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