EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS

被引：1

作者：

Yu, Tao ^{[1
]}

Yue, Xingye ^{[2
]}

机构：

[1] Jinggangshan Univ, Dept Math & Phys, Jian 343009, Jiangxi, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2012年 / 30卷 / 03期

关键词：

Exponentially fitted; Local discontinuous Galerkin method; Convection-diffusion problem; RESIDUAL-FREE BUBBLES; SCHEMES;

D O I：

10.4208/jcm.1110-m3537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the local discontinuous Galerkin (LDG) method for one-dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniformly first-order convergent in the energy norm with respect to the small diffusion parameter.

引用

页码：298 / 310

页数：13

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