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

The structure theorem of Hadamard–Zolésio states that the derivative of a shape functional
is a distribution on the boundary of the domain depending only on the normal perturbations …

The aim of this paper is to study a topological derivative based anomaly detection algorithm.
We compare its performance with other imaging approaches such as MUltiple SIgnal …

This paper proposes an algorithm for the synthesis/optimization of microstructures based on
an exact formula for the topological derivative of the macroscopic elasticity tensor and a …

The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …

Second-order topological expansions in electrical impedance tomography problems with
piecewise constant conductivities are considered. First-order expansions usually consist of …

In this paper, we present a framework for automated shape differentiation in the finite
element software NGSolve. Our approach combines the mathematical Lagrangian approach …

Electrical impedance tomography (EIT) is an imaging technique that reconstructs the
conductivity distribution in the interior of an object using electrical measurements from the …

A simple analytical expression for crack nucleation sensitivity analysis is proposed relying
on the concept of topological derivative and applied within a two‐dimensional linear elastic …

The shape of the free boundary arising from the solution of a variational inequality is
controlled by the shape of the domain where the variational inequality is defined. Shape and …