4 papers
Some error estimates for semidiscrete finite element approximations of stable solutions to mean field game systems
Jules Berry
We derive a priori error estimates for semidiscrete finite element approximations of stable solutions to time-dependent mean field game systems with Dirichlet boundary conditions.…
A nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity techniques and applications to nonlinear PDEs
Jules Berry, Olivier Ley, Francisco José Silva
We generalize the Brezzi-Rappaz-Raviart approximation theorem, which allows to obtain existence and a priori error estimates for approximations of solutions to some nonlinear parti…
Sticky diffusions on star graphs : characterization and It{ô} formula
Jules Berry, Fausto Colantoni
We investigate continuous diffusions on star graphs with sticky behavior at the vertex. These are Markov processes with continuous paths having a positive occupation time at the ve…
Approximation and perturbations of stable solutions to a stationary mean field game system
Jules Berry, Olivier Ley, Francisco J Silva
This work introduces a new general approach for the numerical analysis of stable equilibria to second order mean field games systems in cases where the uniqueness of solutions may…