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.

引用

页码：483 / 496

页数：14

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