Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem

被引：45

作者：

Kellogg, R. Bruce ^{[1
]}

Stynes, Martin

机构：

[1] Univ S Carolina, Ind Math Inst, Dept Math, Columbia, SC 29208 USA

[2] Natl Univ Ireland, Dept Math, Cork, Ireland

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 05期

基金：

美国国家科学基金会;

关键词：

singular perturbations; corner singularities; convection diffusion;

D O I：

10.1016/j.aml.2006.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A singularly perturbed convection-diffusion problem posed on the unit square is considered. Its solution may have exponential and parabolic boundary layers, and corner singularities may also be present. Sharpened pointwise bounds on the solution and its derivatives are derived. The bounds improve bounds near an outflow corner of the problem that were derived in an earlier paper of the authors. Application is made to an error analysis of a finite element method for the problem. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：539 / 544

页数：6

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