A multiscale a posteriori error estimate

被引：17
|
作者：
Araya, R
Valentin, F
机构：
[1] Univ Concepcion, Dept Ingn Matemat, GI2MA, Concepcion, Chile
[2] LNCC, BR-25651070 Petropolis, RJ, Brazil
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 18-20期
关键词：
hierarchic estimator; reaction-diffusion equation; multiscale functions; boundary layer;
D O I：
10.1016/j.cma.2004.07.012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We introduce a hierarchic a posteriori error estimate for singularly perturbed reaction-diffusion problems. The estimator is based on a Petrov-Galerkin method in which the trial space is enriched with nonpolynomial functions or multiscale functions. We study the equivalence between the a posteriori estimate and the exact error in the energy norm. Moreover, we prove a relationship between the hierarchic estimator and an explicit residual estimator. The approach provides accurate estimates for the boundary layer regions which is confirmed by numerical experiments. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：2077 / 2094
页数：18
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