A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations

نویسندگان

  • Changqing Hu
  • Chi-Wang Shu
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.

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عنوان ژورنال:
  • SIAM J. Scientific Computing

دوره 21  شماره 

صفحات  -

تاریخ انتشار 1999