Superconvergence of discontinuous Galerkin methods for hyperbolic systems

被引：5
|
作者：
Zhang, Tie [2 ]
Li, Jiandong [2 ]
Zhang, Shuhua [1 ,3 ,4 ]
机构：
[1] Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China
[2] Northeastern Univ, Sch Informat Sci & Engn, Dept Math, Shenyang 110004, Peoples R China
[3] Tianjin Univ, Tianjin 300072, Peoples R China
[4] Nankai Univ, Liu Hui Ctr Appl Math, Tianjin 300071, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 223卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Discontinuous finite elements; Superconvergence; Hyperbolic systems; FINITE-ELEMENT-METHOD; CONSERVATION-LAWS; CONVERGENCE;
D O I：
10.1016/j.cam.2008.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the discontinuous Galerkin method for the positive and symmetric, linear hyperbolic systems is constructed and analyzed by using bilinear finite elements on a rectangular domain, and an O(h(2))-order superconvergence error estimate is established under the conditions of almost uniform partition and the H-3-regularity for the exact solutions, The convergence analysis is based on some superclose estimates derived in this paper. Finally, as an application, the numerical treatment of Maxwell equation is discussed and computational results are presented. (C) 2008 Elsevier B.V. All rights reserved.
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页码：725 / 734
页数：10
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