TY - JOUR T1 - Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation AU - , Ying Chen AU - Lin , Jia-Fu AU - Lin , Qun JO - Journal of Computational Mathematics VL - 4 SP - 429 EP - 436 PY - 2002 DA - 2002/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8929.html KW - Discontinuous Galerkin method, Hyperbolic equation, Nonstationary, Super-convergence. AB -

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 a half approximative order which is half order higher than the optimal estimate by Lesaint and Raviart under the rectangular partition.