Global stability for an inverse problem in soil-structure interaction
arXiv:1502.04842 · doi:10.1098/rspa.2015.0117
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.
13 pages