A particle scheme based on implicit Euler time stepping and spatial sampling is proved to converge for first-order MFGs under displacement monotonicity, handling non-separable Hamiltonians and singular data for arbitrary horizons.
Near and full quasi-optimality o f finite element approxi- mations of stationary second-order mean field games
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.NA 3verdicts
UNVERDICTED 3representative citing papers
Nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity, applied to quasi-optimal finite-element error estimates for viscous Hamilton-Jacobi equations and second-order mean field games.
Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.
citing papers explorer
-
Numerical analysis of first-order mean field games under displacement monotonicity
A particle scheme based on implicit Euler time stepping and spatial sampling is proved to converge for first-order MFGs under displacement monotonicity, handling non-separable Hamiltonians and singular data for arbitrary horizons.
-
A nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity techniques and applications to nonlinear PDEs
Nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity, applied to quasi-optimal finite-element error estimates for viscous Hamilton-Jacobi equations and second-order mean field games.
-
A posteriori error bounds for finite element approximations of time-dependent mean field games
Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.