The residual-free bubble numerical method with quadratic elements

被引：16
作者：
Asensio, MI
Russo, A
Sangalli, G
机构：
[1] Univ Salamanca, Dept Matemat Aplicada, E-37008 Salamanca, Spain
[2] Univ Milan, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy
[3] CNR, IMATI, I-27100 Pavia, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2004年 / 14卷 / 05期
关键词：
advection-diffusion-reaction; residual-free bubble; finite element methods;
D O I：
10.1142/S0218202504003398
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we analyze the Residual-Free Bubble (RFB) method applied to the linear diffusion-advection-reaction problem. We propose a new a priori error analysis for the method and for its practical implementation in a quite general context, which allows, e.g. linear or quadratic elements on the resolvable scales. We also perform some numerical tests, showing in both cases the advantages of the method.
引用
收藏
页码：641 / 661
页数：21
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