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20112026
most citedOn the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations

60 citations · 361 across the 27 of their papers we have counts for

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math.OC2024★ 2 cited

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…

math.NA2024★ 3 cited

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…