A robust discontinuous Galerkin method for solving convection-diffusion problems

被引：0
作者：
Zuo-zheng Zhang
Zi-qing Xie
Xia Tao
机构：
[1] Hunan Normal University,College of Mathematics and Computer Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2008年 / 24卷
关键词：
Discontinuous Galerkin method; singularly perturbed; convection-diffusion; numerical traces; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
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：13
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