A robust discontinuous Galerkin method for solving convection-diffusion problems

被引：2
|
作者：
Zhang, Zuo-zheng [1 ]
Xie, Zi-qing [1 ]
Tao, Xia [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2008年 / 24卷 / 03期
基金：
中国国家自然科学基金;
关键词：
discontinuous Galerkin method; singularly perturbed; convection-diffusion; numerical traces;
D O I：
10.1007/s10255-008-8036-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new DG method was designed to solve the model problem of the one-dimensional singularly-perturbed convection-diffusion equation. With some special chosen numerical traces, the existence and uniqueness of the DG solution is provided. The superconvergent points inside each element are observed. Particularly, the 2p + 1-order superconvergence and even uniform superconvergence under layer-adapted mesh are observed numerically.
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页码：483 / 496
页数：14
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