Mechanical Physics - Structural, Mathematical Modeling - Science, Numerical Analysis & Solutions, Mathematical Equations - Differential

Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body

Name: Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
Author: Antonino Morassi
ISBN: 9780821843253

by Antonino Morassi, Edi Rosset

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Overview

The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body $\Omega$, from a single measurement of traction and displacement taken on the boundary of $\Omega$. For this severely ill-posed problem they prove uniqueness and a conditional stability estimate of log-log type.