3 papers
math.NA2025
Hybrid high-order approximations of div-curl systems on domains with general topology
Jérémy Dalphin, Jean-Pierre Ducreux, Simon Lemaire +1
We devise and analyze hybrid polyhedral methods of arbitrary order for the approximation of div-curl systems on three-dimensional domains featuring non-trivial topology. The div-cu…
math.OC2015
Uniform ball property and existence of optimal shapes for a wide class of geometric functionals
Jeremy Dalphin
In this paper, we are interested in shape optimization problems involving the ge ometry (normal, curvatures) of the surfaces. We consider a class of hypersurface s in $\mathbb{R}^{…
math.DG2014
On the minimization of total mean curvature
Jeremy Dalphin, Antoine Henrot, Simon Masnou +1
In this paper we are interested in possible extensions of an inequality due to Minkowski: valid for any regular open set $Ω\subs…