An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
نویسندگان
چکیده
In this paper a new approach is developed for analyzing the discontinuous Galerkin method for hyperbolic equations. For a model problem in R2, the method is shown to converge at a rate 0(hn+l) when applied with nth degree polynomial approximations over a semiuniform triangulation, assuming sufficient regularity in the solution.
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تاریخ انتشار 2010