A COMPARISON OF FOUR- AND FIVE-POINT DIFFERENCE APPROXIMATIONS FOR STABILIZING THE ONE-DIMENSIONAL STATIONARY CONVECTION-DIFFUSION EQUATION

被引：0
|
作者：
Roos, Hans-Goerg [1 ]
Vanselow, Reiner [1 ]
机构：
[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2008年 / 32卷
关键词：
convection-diffusion; difference scheme; stabilized finite element method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some recently developed finite element stabilizations of convection-diffusion problems generate in 1D five-point difference schemes. Because there are only few results on four-and five-point schemes in the literature (in contrast to three-point schemes), we discuss some properties of such schemes with special emphasis on the choice of free parameters for a singularly perturbed problem to avoid oscillations.
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页码：63 / 75
页数：13
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