Ce livre est une initiation aux approches modernes de l'optimisation mathématique de
formes. Il s' appuie sur les seules connaissances de première année de Master de …

It is known that statistical properties of the energy levels for various billiards on a constant-
negative-curvature surface do not follow the universal random-matrix predictions. We show …

In this paper we introduce a numerical approach adapted to the minimization of the
eigenmodes of a membrane with respect to the domain. This method is based on the …

Our goal is to introduce a Newton method in computing the stationary points of a total energy
with respect to the shape. We formulated a precise description of the second order shape …

Purpose In this paper the authors review the recent numerical techniques proposed to solve
the forward and inverse problems concerning the electromagnetic casting and …

The inverse electromagnetic casting problem consists in looking for a suitable set of electric
wires such that the electromagnetic field induced by an alternating current passing through …

In this paper we present several models describing some thermal, mechanical,
electromagnetic and hydrodynamic phenomena arising from electromagnetic aluminium …

The inverse problem concerning electromagnetic casting of molten metals consists of
looking for an electric current density distribution such that the induced electromagnetic field …

The boundary expression of the one-sided shape derivative of nonlocal Sobolev best
constants is derived. As a simple consequence, we obtain the fractional version of the so …

The design of inductors in electromagnetic shaping of molten metals consists in looking for
the position and the shape of a set of electric wires such that the induced electromagnetic …