Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits
نویسندگان
چکیده
In this paper, we develop, analyze and test a local discontinuous Galerkin (LDG) method for solving the Hunter-Saxton (HS) equation which contains nonlinear high order derivatives and its zero-viscosity and zero-dispersion limit. The energy stability for general solutions are proved and numerical simulation results for different types of solutions of the nonlinear HS equation are provided to illustrate the accuracy and capability of the LDG method. The zero-viscosity and zero-dispersion properties of the HS equation are shown in numerical simulation. AMS subject classification: 65M60, 37K10
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ورودعنوان ژورنال:
- SIAM J. Scientific Computing
دوره 31 شماره
صفحات -
تاریخ انتشار 2008