@Article{CiCP-21-4, author = {}, title = {A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0}, journal = {Communications in Computational Physics}, year = {2017}, 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 = {https://global-sci.com/article/80105/a-simple-explanation-of-superconvergence-for-discontinuous-galerkin-solutions-to-boldsymbolu-tboldsymbolu-x0} }