FINITE-ELEMENTS FOR AN OPTIMAL-CONTROL PROBLEM GOVERNED BY A PARABOLIC EQUATION

被引：6

作者：

MERIC, RA

机构：

[1] Marmara Scientific and Industrial Research Institute, Applied Mathematics Division, Gebze, Kocaeli

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1979年 / 14卷 / 04期

关键词：

D O I：

10.1002/nme.1620140413

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A stationary variational formulation of the necessary conditions for optimality is derived for an optimal control problem governed by a parabolic equation and mixed boundary conditions. Then a mixed finite element model with elements in space and time is utilized to solve a simple numerical example whose analytical and finite difference solutions are given elsewhere. Numerical results show that the proposed method with C° continuity elements constitutes a powerful numerical technique for solution of optimal control problems of distributed parameter systems. Copyright © 1979 John Wiley & Sons, Ltd

引用

页码：624 / 628

页数：5