THE OPTIMAL CONVERGENCE ORDER OF THE DISCONTINUOUS FINITE ELEMENT METHODS FOR FIRST ORDER HYPERBOLIC SYSTEMS

被引：0
|
作者：
Tie Zhang Datao Shi Zhen Li Department of Mathematics and School of Information Science and Engineering
机构：
来源：
Journal of Computational Mathematics | 2008年 / 26卷 / 05期
关键词：
First order hyperbolic systems; Discontinuous finite element method; Convergence order estimate;
D O I：
暂无
中图分类号：
O175.27 [双曲型方程];
学科分类号：
摘要：
In this paper,a discontinuous finite element method for the positive and symmetric,first-order hyperbolic systems (steady and nonsteady state) is constructed and analyzedby using linear triangle elements,and the O(h~2)-order optimal error estimates are derivedunder the assumption of strongly regular triangulation and the H~3-regularity for the exactsolutions.The convergence analysis is based on some superclose estimates of the interpolationapproximation.Finally,we discuss the Maxwell equations in a two-dimensionaldomain,and numerical experiments are given to validate the theoretical results.
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页码：689 / 701
页数：13
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