Chebyshev–legendre Super Spectral Viscosity Method for Nonlinear Conservation Laws∗
نویسنده
چکیده
In this paper, a super spectral viscosity method using the Chebyshev differential operator of high order Ds = ( √ 1− x2∂x) is developed for nonlinear conservation laws. The boundary conditions are treated by a penalty method. Compared with the second-order spectral viscosity method, the super one is much weaker while still guaranteeing the convergence of the bounded solution of the Chebyshev–Galerkin, Chebyshev collocation, or Legendre–Galerkin approximations to nonlinear conservation laws, which is proved by compensated compactness arguments.
منابع مشابه
Chebyshev–legendre Spectral Viscosity Method for Nonlinear Conservation Laws∗
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