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; Morassi, A.; Rosset, Edi; Vessella, S.. - In: PROCEEDINGS - ROYAL SOCIETY. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1471-2946. - ELETTRONICO. - 471:2179(2015), pp. 1-12. [10.1098/rspa.2015.0117]
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.| File | Dimensione | Formato | |
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