Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints

被引：34
作者：
de los Reyes, J. C. [1 ]
Troeltzsch, F.
机构：
[1] EPN, Dept Math, Quito, Ecuador
[2] TU Berlin, Inst Math, Berlin, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2007年 / 46卷 / 02期
关键词：
optimal control; Navier-Stokes equations; mixed control; state constraints; semi-smooth Newton methods;
D O I：
10.1137/050646949
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we consider the distributed optimal control of the Navier-Stokes equations in the presence of pointwise mixed control-state constraints. After deriving a first order necessary condition, the regularity of the mixed constraint multiplier is investigated. Second order sufficient optimality conditions are studied as well. In the last part of the paper, a semismooth Newton method is applied for the numerical solution of the control problem. The convergence of the method is proved and numerical experiments are carried out.
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收藏
页码：604 / 629
页数：26
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