A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations

被引：52
作者：
de los Reyes, JC
Kunisch, K [1 ]
机构：
[1] Graz Univ, Inst Math & Sci Comp, A-8010 Graz, Austria
[2] EPN Quito, Dept Math, Quito, Ecuador
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 07期
关键词：
optimal boundary control with control constraints; Navier-Stokes equations; semi-smooth Newton methods;
D O I：
10.1016/j.na.2005.04.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study optimal control of the Navier-Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in the control space H-00(1/2) the optimality system and second order sufficient optimality conditions are derived. For the numerical solution we apply a semi-smooth Newton method to a regularized version of the original problem and show convergence properties of the method and of the regularized solutions towards the original one. (c) 2005 Elsevier Ltd. All rights reserved.
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收藏
页码：1289 / 1316
页数：28
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