16 citations · 24 across the 2 of their papers we have counts for
2 papers
math.OC2017★ 8 cited
Volumetric expressions of the shape gradient of the compliance in structural shape optimization
Matteo Giacomini, Olivier Pantz, Karim Trabelsi
In this article, we consider the problem of optimal design of a compliant structure under a volume constraint, within the framework of linear elasticity. We introduce the pure disp…
math.NA2016★ 16 cited
Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
Matteo Giacomini, Olivier Pantz, Karim Trabelsi
In this paper we introduce a novel certified shape optimization strategy - named Certified Descent Algorithm (CDA) - to account for the numerical error introduced by the Finite Ele…