Djalil Kateb

On Second Order Shape Optimization Methods for Electrical Impedance Tomography

This paper is devoted to the analysis of a second order method for recovering the a priori unknown shape of an inclusion

Shape Methods for the Transmission Problem with a Single Measurement

\omega

Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions

inside a body

The phase of the Daubechies filters

\Omega

Generalized impedance boundary conditions and shape derivatives for 3D Helmholtz problems

from boundary measurement. This inverse problem—known as electrical impedance tomography—has many important practical applications and hence has been the focus of much attention during the past few years. However, to the best of our knowledge, no work has yet considered a second order approach for this problem. This paper aims to fill that void: We investigate the existence of second order derivative of the state

An extremal eigenvalue problem for the Ventcel-Laplace operator

u

Detecting perfectly insulated obstacles by shape optimization techniques of order two

with respect to perturbations of the shape of the interface

Conformal mapping and inverse conductivity problem with one measurement

\partial\omega

A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid

. Then we choose a cost function in order to recover the geometry of

Asymptotic Behavior of the Daubechies Filters

\partial \omega