Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers

被引：34

作者：

Franz, S. ^{[1
]}

Linss, T. ^{[1
]}

Roos, H. -G. ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

来源：

APPLIED NUMERICAL MATHEMATICS | 2008年 / 58卷 / 12期

关键词：

Superconvergence; Convection-diffusion problems; Streamline-diffusion method; Numerical analysis; Characteristic layers;

D O I：

10.1016/j.apnum.2007.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyse the superconvergence, property of the streamline diffusion finite element method (SDFEM) in the case of elliptic problems with characteristic layers. For the SDFEM we give optimal parameter choices for maximal stability in the induced streamline diffusion norm. It is shown that inside the parabolic boundary layer the SDFEM-parameter can be chosen of order epsilon N--1/4(-2) which is also confirmed by numerical results. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1818 / 1829

页数：12

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