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 object of this paper is the computation of the domain or boundary expression of a state
constrained shape function without explicitly resorting to the material derivative. Our main …

We present a review of known results in shape optimization from the point of view of
Geometric Analysis. This paper is devoted to the mathematical aspects of the shape …

This article presents the first higher degree immersed finite element (IFE) method with
proven optimal convergence for elliptic interface problems with nonhomogeneous jump …

In this paper, we develop a shape optimization-based algorithm for the electrical impedance
tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal …

This paper is devoted to the analysis of a second order method for recovering the a priori
unknown shape of an inclusion ω inside a body Ω from boundary measurement. This …

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 …

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 …

We consider the inverse geometrical problem of identifying the discontinuity curve of an
electrical conductivity from boundary measurements. This standard inverse problem is used …