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 book presents important recent developments in mathematical and computational
methods used in impedance imaging and the theory of composite materials. By augmenting …

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

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

Magnetic resonance elastography (MRE) is an approach to measuring material properties
using external vibration in which the internal displacement measurements are made with …

In this paper we consider the problem of locating a small three-dimensional elastic inclusion,
using arrays of elastic source transmitters and receivers. This procedure yields the …

In this paper we establish an explicit asymptotic formula for the steady state voltage
perturbations caused by closely spaced small conductivity inhomogeneities. Based on this …

We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic
constants. We show that the solutions to the Lamé system converge in appropriate H1 …

The concept of elastic moment tensor occurs in several interesting contexts, in particular in
imaging small elastic inclusions and in asymptotic models of dilute elastic composites. In this …

An inverse problem of identification of a finite number of small, well-separated defects in an
isotropic linear elastic body is considered. It is supposed that the defects are cavities or …