A POSTERIORI ERROR ANALYSIS OF OPTIMAL CONTROL PROBLEMS WITH CONTROL CONSTRAINTS

被引：58
|
作者：
Kohls, Kristina [1 ]
Roesch, Arnd [2 ]
Siebert, Kunibert G. [1 ]
机构：
[1] Univ Stuttgart, Fachbereich Math, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany
[2] Fak Math, D-45127 Essen, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2014年 / 52卷 / 03期
关键词：
adaptive finite elements; a posteriori error analysis; optimal control; control constraints; ADAPTIVE FINITE-ELEMENTS; ACTIVE SET STRATEGY; VARIATIONAL DISCRETIZATION; CONVERGENCE; OPTIMIZATION; ESTIMATORS; BOUNDS;
D O I：
10.1137/130909251
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We derive a unifying framework for the a posteriori error analysis of control constrained linear-quadratic optimal control problems. We consider finite element discretizations with discretized and nondiscretized control. A fundamental error equivalence drastically simplifies the a posteriori error analysis for optimal control problems. It basically remains to apply error estimators for the linear state and adjoint problem. We give several examples, including stabilized discretizations, and investigate the quality of the estimators and the performance of the adaptive iteration by selected numerical experiments.
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页码：1832 / 1861
页数：30
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