@Article{JCM-26-5,
author = {},
title = {The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {5},
pages = {689--701},
abstract = {<p style="text-align: justify;">In this paper, a discontinuous finite element method for the positive and symmetric, first-order hyperbolic systems (steady and nonsteady state) is constructed and analyzed by using linear triangle elements, and the $O(h^2)$-order optimal error estimates are derived under the assumption of strongly regular triangulation and the $H^3$-regularity for the exact solutions. The convergence analysis is based on some superclose estimates of the interpolation approximation. Finally, we discuss the Maxwell equations in a two-dimensional domain, and numerical experiments are given to validate the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/2008-JCM-8652},
url = {https://global-sci.com/article/84955/the-optimal-convergence-order-of-the-discontinuous-finite-element-methods-for-first-order-hyperbolic-systems}
}