TY - JOUR
T1 - A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0
AU - Philip Roe
JO - Communications in Computational Physics
VL - 4
SP - 905
EP - 912
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2016-0052
UR - https://global-sci.org/intro/article_detail/cicp/11265.html
KW - 
AB - <p style="text-align: justify;">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.</p>