document: Superconvergence of discontinuous Galerkin method for nonstationary hyperbolic equation For the first order nonstationary hyperbolic equation taking the piecewise linear discontinuous Galerkin solver , we prove that under the uniform rectangular partition , such a discontinuous solver , after postprocessing , can have two and half approximative order which is half order higher than the optimal estimate by P. Lesaint and P. Raviart -LRB- 1974 -RRB- under the rectangular partition
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