This review is devoted to some inverse problems arising in the context of linear elasticity,
namely the identification of distributions of elastic moduli, model parameters or buried …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This is the first book to provide a systematic exposition of promising techniques for the
reconstruction of small inhomogeneities from boundary measurements. In particular …

One of the most cited papers in Applied Mechanics is the work of Eshelby from 1957 who
showed that a homogeneous isotropic ellipsoidal inhomogeneity embedded in an …

This book has grown out of lecture notes for a course on mathematical methods in
biomedical imaging at Ecole Polytechnique. Biomedical imaging is a fascinating research …

The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

Since the early part of the twentieth century, the use of integral equations has developed into
a range of tools for the study of partial differential equations. This includes the use of single …

This book is the first to comprehensively explore elasticity imaging and examines recent,
important developments in asymptotic imaging, modeling, and analysis of deterministic and …

This paper is devoted to minimum stress design in structural optimization. We propose a
simple and efficient numerical algorithm for shape and topology optimization based on the …

This paper presents a new algorithm for conductivity imaging. Our idea is to extract more
information about the conductivity distribution from data that have been enriched by coupling …