The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …

In the first edition of this book, we discussed methods for determining the support of an
inhomogeneous medium from measured far field data as well as an extensive study of the …

This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

In this work we present a novel sampling method for time harmonic inverse medium
scattering problems. It provides a simple tool to directly estimate the shape of the unknown …

This paper is concerned with the optimal design of axial probes, commonly used in the Non-
Destructive Testing (NDT) of tube boiling in steam generators. The goal is to improve the low …

This survey aims to present the state of the art of research on the transmission eigenvalue
problem focussing on three main topics, namely the discreteness of transmission …

Microwave imagers featuring a fully electronic scanning are highly demanded in security,
industrial, and medical applications. Planar multistatic arrays operating at close ranges offer …

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