@Article{JCM-17-1, author = {Sun, Che and Shu-Jie, Qin}, 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/1999-JCM-9085}, url = {https://global-sci.com/article/85603/the-full-discrete-discontinuous-finite-element-analysis-for-first-order-linear-hyperbolic-equation} }