EQUIVALENT A POSTERIORI ERROR ESTIMATES FOR A CONSTRAINED OPTIMAL CONTROL PROBLEM GOVERNED BY PARABOLIC EQUATIONS

被引：0

作者：

Sun, Tongjun ^{[1
]}

Ge, Liang ^{[2
]}

Liu, Wenbin ^{[3
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Shandong Comp Sci Ctr, Jinan 250014, Peoples R China

[3] Univ Kent, KBS, Canterbury CT2 7NF, Kent, England

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 01期

关键词：

constrained optimal control problem; adaptive finite element approximation; equivalent a posteriori error estimates; parabolic equations; multi-meshes; FINITE-ELEMENT APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study adaptive finite element approximation in the backward Euler scheme for a constrained optimal control problem by parabolic equations on multi-meshes. The control constraint is given in an integral sense: K = {u(t) is an element of L-2(Omega) : a <= integral(Omega) u(t) <= b}. We derive equivalent a posteriori error estimates with lower and upper bounds for both the state and the control approximation, which are used as indicators in adaptive multi-meshes finite element scheme. The error estimates are then implemented and tested with promising numerical experiments.

引用

页码：1 / 23

页数：23

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