4 papers
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…
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.…
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…