Singularly perturbed convection-diffusion problems with boundary and weak interior layers

被引：72

作者：

Farrell, PA

Hegarty, AF ^{[1
]}

Miller, JJH

O'Riordan, E

Shishkin, GI

机构：

[1] Univ Limerick, Dept Math & Stat, Limerick, Ireland

[2] Kent State Univ, Dept Comp Sci, Kent, OH 44242 USA

[3] Trinity Coll Dublin, Dept Math, Dublin, Ireland

[4] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

[5] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 166卷 / 01期

关键词：

singular perturbation; convection-diffusion; parameter-uniform; interior payer;

D O I：

10.1016/j.cam.2003.09.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. (C) 2003 Elsevier BY. All rights reserved.

引用

页码：133 / 151

页数：19