Convergence of discontinuous Galerkin schemes for front propagation with obstacles
نویسندگان
چکیده
We study semi-Lagrangian discontinuous Galerkin (SLDG) and RungeKutta discontinuous Galerkin (RKDG) schemes for some front propagation problems in the presence of an obstacle term, modeled by a nonlinear Hamilton-Jacobi equation of the form min(ut+cux, u−g(x)) = 0, in one space dimension. New convergence results and error bounds are obtained for Lipschitz regular data. These “low regularity” assumptions are the natural ones for the solutions of the studied equations.
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A discontinuous Galerkin scheme for front propagation with obstacles
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ورودعنوان ژورنال:
- Math. Comput.
دوره 85 شماره
صفحات -
تاریخ انتشار 2016