Before revision: This paper proposes a multiscale method for solving the numerical solution of mean field games  . Starting from an approximate solution at the coarsest level, the method constructs approximations on successively finer grids via alternating sweeping  .
After revision: This paper proposes a multiscale method for solving the numerical solution of mean field games which accelerates the convergence and addresses the problem of determining the initial guess . Starting from an approximate solution at the coarsest level, the method constructs approximations on successively finer grids via alternating sweeping .