A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations

被引：32
|
作者：
John, Volker [1 ,2 ]
Novo, Julia [3 ]
机构：
[1] Leibniz Inst Forsch Verbund Berlin eV WIAS, Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
[2] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany
[3] Univ Autonoma Madrid, Dept Matemat, Madrid, Spain
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2013年 / 255卷
关键词：
Stationary convection-diffusion equations; SUPG finite element method; Error in SUPG norm; A posteriori error estimator; Adaptive grid refinement; OPTIMIZATION;
D O I：
10.1016/j.cma.2012.11.019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A robust residual-based a posteriori estimator is proposed for the SUPG finite element method applied to stationary convection-diffusion-reaction equations. The error in the natural SUPG norm is estimated. The main concern of this paper is the consideration of the convection-dominated regime. A global upper bound and a local lower bound for the error are derived, where the global upper estimate relies on some hypotheses. Numerical studies demonstrate the robustness of the estimator and the fulfillment of the hypotheses. A comparison to other residual-based estimators with respect to the adaptive grid refinement is also provided. (C) 2012 Elsevier B.V. All rights reserved.
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页码：289 / 305
页数：17
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