An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation

被引：39
|
作者：
Araya, R [1 ]
Behrens, E [1 ]
Rodríguez, R [1 ]
机构：
[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile
来源：
APPLIED NUMERICAL MATHEMATICS | 2005年 / 54卷 / 3-4期
关键词：
advection-reaction-diffusion problem; boundary and inner layers; a posteriori error estimates; stabilized finite elements;
D O I：
10.1016/j.apnum.2004.09.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An adaptive finite element scheme for the advection-reaction-diffusion equation is introduced and analyzed. This scheme is based on a stabilized finite element method combined with a residual error estimator. The estimator is proved to be reliable and efficient. More precisely, global upper and local lower error estimates with constants depending at most on the local mesh Peclet number are proved. The effectiveness of this approach is illustrated by several numerical experiments. (c) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：491 / 503
页数：13
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