A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations
نویسندگان
چکیده
In this paper, we present a discontinuous Galerkin finite clement method for solving the nonlinear Hamilton-Jacobi equations. This method is based on the Runge-Kutta discontinuous Galerkin finite element method for solving conservation laws. The method has the flexibility of treating complicated geometry by using arbitrary triangulation, can achieve high order accuracy with a local, compact stencil, and are suited for efficient parallel implementation. One and two dimensional numerical examples are given to illustrate the capability of the method.
منابع مشابه
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ورودعنوان ژورنال:
- SIAM J. Scientific Computing
دوره 21 شماره
صفحات -
تاریخ انتشار 1999