3 papers
math.NA2025
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.…
math.NA2025
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…
math.PR2024
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…