@Article{JCM-20-4, author = {Ying, Chen, and Lin, Jia-Fu and Qun, Lin}, title = {Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {4}, pages = {429--436}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/2002-JCM-8929}, url = {https://global-sci.com/article/85419/superconvergence-of-discontinuous-galerkin-method-for-nonstationary-hyperbolic-equation} }