A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. (English) Zbl 0946.65090
The authors present a discontinuous Galerkin finite element method with arbitrary triangulation for solving Hamilton-Jacobi equations using Runge-Kutta to integrate in time. They claim that the method can achieve high accuracy on complicated geometries and is suitable for parallel implementation. Numerical examples in one and two dimensions are given.
Reviewer: J.D.P.Donnelly (Oxford)
MSC:
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
65Y05 | Parallel numerical computation |
35Q58 | Other completely integrable PDE (MSC2000) |
70H20 | Hamilton-Jacobi equations in mechanics |
37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |