The goal of this paper is to improve the performance of an electric motor by modifying the
geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to …

Purpose This paper provides a self-contained introduction to the mathematical aspects of
the topological derivative. Design/methodology/approach Full justifications are given on …

The topological sensitivity analysis for the heterogeneous and anisotropic elasticity problem
in two-dimensions is performed in this work. The main result of the paper is an analytical …

In this paper we perform the rigorous derivation of the topological derivative for optimization
problems constrained by a class of quasi-linear elliptic transmission problems. In the case of …

Purpose The goal of this paper is to give a comprehensive and short review on how to
compute the first-and second-order topological derivatives and potentially higher-order …

The topological derivative represents the sensitivity of a domain-dependent functional with
respect to a local perturbation of the domain and is a valuable tool in topology optimization …

In this paper we present a methodology that allows the efficient computation of the
topological derivative for semilinear elliptic problems within the averaged adjoint …

In this paper we study the asymptotic behaviour of the quasilinear curl-curl equation of 3D
magnetostatics with respect to a singular perturbation of the differential operator and prove …

The ability of velocity methods to describe changes in topology by creating defects such as
holes is investigated. For shape optimization, energy-type objective functions are …

In this paper we develop a reconstruction algorithm for the solution of an inverse boundary
value problem dealing with a semilinear elliptic partial differential equation of interest in …