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 - <p style="text-align: justify;">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.</p>