A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

被引：5

作者：

Yan, Ningning ^{[1
]}

Zhou, Zhaojie ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2008年 / 3卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Constrained optimal control problem; convection dominated diffusion equation; edge stabilization Galerkin method; a posteriori error estimate;

D O I：

10.1007/s11464-008-0029-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method for the constrained optimal control problem governed by convection-dominated diffusion equations. The residual-type a posteriori error estimators yield both upper and lower bounds for control u measured in L-2-norm and for state y and costate p measured in energy norm. Two numerical examples are presented to illustrate the effectiveness of the error estimators provided in this paper.

引用

页码：415 / 442

页数：28

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