16 citations · 24 across the 3 of their papers we have counts for
3 papers
Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension
Ido Lavi, Nicolas Meunier, Olivier Pantz
In this work, we propose and compare three numerical methods to handle the one-phase Hele-Shaw problem with surface tension in dimension two by using three variational approaches i…
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…
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…