High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes

摘要

In this paper we construct several numerical approximations for first order Hamilton-Jacobi equations on triangular meshes. We show that, thanks to a filtering procedure, the high order versions are non-oscillatory in the sense of satifying the maximum principle. The methods are based on the first order Lax-Friedrichs scheme [2] which is improved here adjusting the dissipation Term.