9 citations · 15 across the 6 of their papers we have counts for
6 papers
Numerical analysis of first-order mean field games under displacement monotonicity
Alpár R. Mészáros, Yohance A. P. Osborne
We introduce a particle method for the numerical approximation of time-dependent first-order Mean Field Games (MFGs) systems with non-separable, displacement monotone Hamiltonians…
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians
Yohance A. P. Osborne, Iain Smears
We prove a rate of convergence for finite element approximations of stationary, second-order mean field games with nondifferentiable Hamiltonians posed in general bounded polytopal…
A posteriori error bounds for finite element approximations of steady-state mean field games
Yohance A. P. Osborne, Iain Smears, Harry Wells
We analyze a posteriori error bounds for stabilized finite element discretizations of second-order steady-state mean field games. We prove the local equivalence between the -n…
Regularization of Stationary Second-order Mean Field Game Partial Differential Inclusions
Yohance A. P. Osborne, Iain Smears
Mean field Game (MFG) Partial Differential Inclusions (PDI) are generalizations of the system of Partial Differential Equations (PDE) of Lasry and Lions to situations where players…
Near and full quasi-optimality of finite element approximations of stationary second-order mean field games
Yohance A. P. Osborne, Iain Smears
We establish a priori error bounds for monotone stabilized finite element discretizations of stationary second-order mean field games (MFG) on Lipschitz polytopal domains. Under su…
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians
Yohance A. P. Osborne, Iain Smears
The standard formulation of the PDE system of Mean Field Games (MFG) requires the differentiability of the Hamiltonian. However in many cases, the structure of the underlying optim…