TY - JOUR
T1 - Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations
AU - Hu , Hongling
AU - Chen , Chuanmiao
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 323
EP - 337
PY - 2018
DA - 2018/05
SN - 7
DO - http://doi.org/10.4208/aamm.2014.m615
UR - https://global-sci.org/intro/article_detail/aamm/12050.html
KW - 
AB - <p style="text-align: justify;">In this paper, we present a superconvergence result for the bi-$k$ degree time-space
fully discontinuous finite element of first-order hyperbolic problems. Based on
the element orthogonality analysis (EOA), we first obtain the optimal convergence order
of discontinuous Galerkin finite element solution. Then we use orthogonality correction
technique to prove a superconvergence result at right Radau points, which is one order <span style="text-align: justify;">higher&nbsp;</span>than the optimal convergence rate. Finally, numerical results are presented
to illustrate the theoretical analysis.</p>