A Class of Non-oscillatory Dissipative Difference Schemes for Solving Two Dimensional Hamilton-Jacobi Equations

Based on the dissipative difference schemes for one dimensional Hamilton-Jacobi(H-J) equations and the relations between two dimensional H-J equations and hyperbolic conservation laws,a class of difference schemes for two dimensional H-J equations is constructed.Some typical numerical experiments show that these schemes have advantages of low evaluated cost and high resolution.