@Article{CiCP-21-905, author = {Philip Roe}, title = {A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {4}, pages = {905--912}, abstract = {

The superconvergent property of the Discontinuous Galerkin (DG) method for linear hyperbolic systems of partial differential equations in one dimension is explained by relating the DG method to a particular continuous method, whose accuracy depends in part on a local analysis, and in part on information transferred from upwind elements.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0052}, url = {http://global-sci.org/intro/article_detail/cicp/11265.html} }