Spectral Viscosity Approximations to Hamilton-Jacobi Solutions
نویسنده
چکیده
The spectral viscosity approximate solution of convex Hamilton–Jacobi equations with periodic boundary conditions is studied. It is proved in this paper that the approximation and its gradient remain uniformly bounded, formally spectral accurate, and converge to the unique viscosity solution. The L1-convergence rate of the order 1− ε∀ε > 0 is obtained.
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 38 شماره
صفحات -
تاریخ انتشار 2000