Reconstruction of conductive inclusions in a homogeneous background medium is
commonly seen in electrical impedance tomography (EIT). One of the methods to deal with …

We are interested in the question of stability in the field of shape optimization, with focus on
the strategy using second order shape derivative. More precisely, we identify structural …

The paper presents a theoretical study of an identification problem by shape optimization
methods. The question is to detect an object immersed in a fluid. Here, the problem is …

This work deals with a geometric inverse source problem. It consists in recovering inclusion
in a fixed domain based on boundary measurements. The inverse problem is solved via a …

Abstract Die vorliegende Arbeit untersucht Formoptimierungsprobleme mit nichtlinearen
Nebenbedingungen in Form von partiellen Differentialgleichungen. Wir geben eine kurze …

Shapes do not define a linear space. This paper explores the linear structure of
deformations as a representation of shapes. This transforms shape optimization to a variant …

The aim of our work is to reconstruct an inclusion immersed in a fluid flowing in a larger
bounded domain via a boundary measurement. Here the fluid motion is assumed to be …

We aim to reconstruct an inclusion ω immersed in a perfect fluid flowing in a larger bounded
domain Ω via boundary measurements on∂ Ω. The obstacle ω is assumed to have a thin …

In this paper, we consider an inverse source problem for elliptic partial differential equations
with Dirichlet and Neumann boundary data. The unknown source term is to be determined …

The scattering of time‐harmonic electromagnetic waves by a penetrable obstacle is
considered. In view of shape optimization or inverse reconstruction problems, the domain …