@Article{JCM-17-97, author = {Sun , Che and Qin , Shu-Jie}, title = {The Full Discrete Discontinuous Finite Element Analysis for First-Order Linear Hyperbolic Equation}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {1}, pages = {97--112}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9085.html} }