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 Hölder stability estimate under (mild) regularity assumptions on the unknown coefficient.

Global stability for an inverse problem in soil-structure interaction

ALESSANDRINI, GIOVANNI;ROSSET, EDI;
2015-01-01

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 Hölder stability estimate under (mild) regularity assumptions on the unknown coefficient.
2015
http://rspa.royalsocietypublishing.org/content/471/2179
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2841574
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