2 papers
math.OC2024
Shape differentiation for Poincare maps of harmonic fields in toroidal domains
Robin Roussel
In this article, we study Poincare maps of harmonic fields in toroidal domains using a shape variational approach. Given a bounded domain of , we define its harmonic…
math.OC2024
Shape optimization of harmonic helicity in toroidal domains
Remi Robin, Robin Roussel
In this paper, we introduce a new shape functional defined for toroidal domains that we call harmonic helicity, and study its shape optimization. Given a toroidal domain, we consid…