A Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-Jacobi Equations
A Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-Jacobi Equations
We propose an effective stopping criterion for higher-order fast sweeping schemes for static Hamilton-Jacobi equations based on ratios of three consecutive iterations.To design the new stopping criterion we analyze the convergence of the first-order Lax-Friedrichs sweeping scheme by using the theory of nonlinear iteration.In addition, we propose a fifth-order Weighted …