Global stability for an inverse problem in soil-structure interaction.
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.
Università degli Studi di Trieste , Trieste, Italy.
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Alessandrini
Università degli Studi di Udine , Udine, Italy.
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Morassi
Università degli Studi di Trieste , Trieste, Italy.
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Rosset
Università degli Studi di Firenze , Firenze, Italy.
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Vessella
Hölder stability; Winkler soil–foundation interaction; elastic plate; inverse problems