Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers

被引：0

作者：

Jung, Chang-Yeol ^{[1
]}

Temam, Roger

机构：

[1] Indiana Univ, Inst Sci Comp & Appl Math, Bloomington, IN 47405 USA

[2] Univ Paris 11, Anal Numer Lab, F-91405 Orsay, France

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2005年 / 2卷 / 04期

关键词：

boundary layers; finite elements; singularly perturbed problem; convection-diffusion;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we demonstrate how one can improve the numerical solutions of singularly perturbed problems involving multiple boundary layers by using a combination of analytic and numerical tools. Incorporating the structures of boundary layers into finite element spaces can improve the accuracy of approximate solutions and result in significant simplifications. We discuss here convection-diffusion equations in the case where both ordinary and parabolic boundary layers are present.

引用

页码：367 / 408

页数：42

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