Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions

被引：11

作者：

Meyer, C. ^{[2
]}

Yousept, I. ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2009年 / 44卷 / 02期

关键词：

Nonlinear optimal control; Nonlocal radiation interface conditions; State constraints; First-order necessary conditions; Second-order sufficient conditions; Moreau-Yosida approximation; PRIMAL-DUAL STRATEGY; GROWTH;

D O I：

10.1007/s10589-007-9151-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A state-constrained optimal control problem with nonlocal radiation interface conditions arising from the modeling of crystal growth processes is considered. The problem is approximated by a Moreau-Yosida type regularization. Optimality conditions for the regularized problem are derived and the convergence of the regularized problems is shown. In the last part of the paper, some numerical results are presented.

引用

页码：183 / 212

页数：30

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