TY - JOUR
T1 - The Full Discrete Discontinuous Finite Element Analysis for First-Order Linear Hyperbolic Equation
AU - Sun , Che
AU - Qin , Shu-Jie
JO - Journal of Computational Mathematics
VL - 1
SP - 97
EP - 112
PY - 1999
DA - 1999/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9085.html
KW - Hyperbolic equation, Discontinuous F.E.M., Euler scheme.
AB - <p style="text-align: justify;">In this paper, the full discrete discontinuous Galerkin finite element method to solve 2-dimensional first-order linear hyperbolic problem is considered. Two practical schemes, Euler scheme and Crank-Nicolson scheme, are constructed. For each of them, the stability and error estimation with optimal order approximation is established in the norm stronger than $L^2$-norm.</p>