99 citations · 178 across the 10 of their papers we have counts for
11 papers
Convex Analysis and Duality
Guy Bouchitte
Convexity is an important notion in non linear optimization theory as well as in infinite dimensional functional analysis. As will be seen below, very simple and powerful tools wil…
Optimization of light structures: the vanishing mass conjecture
Guy Bouchitte
We consider the shape optimization problem which consists in placing a given mass of elastic material in a design region so that the compliance is minimal. Having in mind optim…
On the forces that cable webs under tension can support and how to design cable webs to channel stresses
Guy Bouchitté, Ornella Mattei, Graeme W. Milton +1
In many applications of Structural Engineering the following question arises: given a set of forces applied at prescribed points $\ma…
A duality theory for non-convex problems in the Calculus of Variations
Guy Bouchitté, Ilaria Fragalà
We present a new duality theory for non-convex variational problems, under possibly mixed Dirichlet and Neumann boundary conditions. The dual problem reads nicely as a linear progr…
Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials
Guy Bouchitté, Christophe Bourel, Didier Felbacq
It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative freque…
A variational method for second order shape derivatives
Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi
We consider shape functionals obtained as minima on Sobolev spaces of classical integrals having smooth and convex densities, under mixed Dirichlet-Neumann boundary conditions. We…