Alexis Anagnostakis (Univ. Grenoble) – Thursday 16 march 2023 from 1.30 pm to 2.30 pm – Room 113 – IECL
A necessary condition for the convergence of a finite-element approximation is coercivity. Sometimes though, we want to approximate quantities of a non-coercive problem that is hypocoercive.
Hypocoercivity is a notion introduced recently by Villani that quantifies the long-run behavior of a system. In his book “Hypocoercivity”, Villani gives a sufficient condition for hypocoercivity. We will see how this condition can be used to set up consistent finite-element approximations in the case of stochastic Hamiltonian systems.
We will prove the results for a constant damping force and discuss the non-constant damping.
