... enjoys two important features: (a) it allows for imposing any feasible volume constraint and (b) the standard (original) formulation is recovered once the regularizing parameter vanishes. The resulting topology optimization problem is solved with the help of the topological derivative method, which...

...Renatha Batista dos Santos; Cinthia Gomes Lopes Purpose The purpose of this paper is to present an approach for structural weight minimization under von Mises stress constraints and self-weight loading based on the topological derivative method. Although self-weight loading topology has been...

.... Then, the topological derivative method is used to minimize the associated Francfort–Marigo shape functional. In particular, the whole damaging process is governed by a threshold approach based on the topological derivative field, leading to a notable simple algorithm. Findings Numerical simulations are driven...

... Topological derivative method Noniterative reconstruction algorithm Inverse scattering problems consist in the imaging of obstacles (also called as anomalies or inhomogeneities) embedded in a medium from partial results of observations of a field generated by incident waves. These problems appear...