A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem

被引：24
作者：
Araya, R
Poza, AH
Stephan, EP
机构：
[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile
[2] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2005年 / 15卷 / 07期
关键词：
advection problem; boundary layers; a posteriori error estimate; bubble functions;
D O I：
10.1142/S0218202505000674
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we introduce a new a posteriori error estimate of hierarchical type for the advection-diffusion-reaction equation. We prove the equivalence between the energy norm of the error and our error estimate using an auxiliary linear problem for the residual and an easy way to prove inf-sup condition.
引用
收藏
页码：1119 / 1139
页数：21
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