On the convergence of critical points of the Ambrosio-Tortorelli energy
Date(s) : 14/11/2023 iCal
11h00 - 12h00
In order to describe the behaviour of an elastic material undergoing fracture we can use a variational model and the so-called Mumford-Shah energy defined on a subspace of SBV functions. One difficulty is that the critical points of this energy are difficult to approximate by numerical methods. One can then think of approximating the Mumford-Shah energy by another energy defined on a space of more regular functions (H1-functions) : the Ambrosio-Tortorelli energy. It is known since the pioneer work of Ambrosio-Tortorelli that the minimizers of this energy converge towards minimisers of the Mumford-Shah energy. In this talk we will show that, under an assumption of convergence of the energies, critical points of the Ambrosio-Tortorelli energy also converge to critical points of the Mumford-Shah energy. This is a joint work with Jean-François Babadjian and Vincent Millot.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
Catégories
