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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.

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
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