The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …

A new approach to performing sensitivity analysis of arbitrary objective functionals for
anisotropic elasticity is proposed in this work. Three different objective functionals have …

The topological derivative measures the sensitivity of a shape functional with respect to an
infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or …

The inverse potential problem consists in reconstructing an unknown measure with support
in a geometrical domain from a single boundary measurement. In order to deal with this …

We propose a new topology optimization approach based on the moving morphable
components (MMC) framework with an explicitly described a layout through a finite number …

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 framework of asymptotic analysis in singularly perturbed geometrical domains
presented in the first part of this series of review papers can be employed to produce two …

A numerical study of the solution of the mathematical problem corresponding to the melting
of a solid metallic body, heated by the action of an exterior electromagnetic field, is …

This thesis is devoted to the study of two main problems, namely the optimal design of multi-
layered composite laminates and the topological sensitivity analysis in anisotropic …

An inverse source problem related to the Poisson equation is the main concern of this work.
Specifically, we deal with the reconstruction of a mass distribution in a geometrical domain …