FUNCTIONAL AND NUMERICAL-SOLUTION OF A CONTROL PROBLEM ORIGINATING FROM HEAT-TRANSFER

被引：15

作者：

BURGER, J ^{[1
]}

POGU, M ^{[1
]}

机构：

[1] ECOLE NATL SUPER MECAN,MATH SERV,NANTES,FRANCE

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1991年 / 68卷 / 01期

关键词：

NONLINEAR PARABOLIC EQUATIONS; FUNCTIONAL ANALYSIS; EXISTENCE; UNIQUENESS; CONTROL PROBLEMS; NEWTONS METHOD;

D O I：

10.1007/BF00939935

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：

The solution of a nonlinear parabolic equation is studied from both the functional and the numerical points of view. Existence, uniqueness, and stability results are given. A boundary-control problem is then presented. Expressions of the gradient and the Hessian of the cost function are given with some details, and the Newton method is compared with a gradient method and the Fletcher-Reeves method. Numerical results are given. The paper concludes with a discussion of the advantages of the Newton method as applied to a control problem.

引用

页码：49 / 73

页数：25

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