Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

被引：24

作者：

Chrysafinos, K.

Gunzburger, M. D. ^{[1
]}

Hou, L. S.

机构：

[1] Florida State Univ, Sch Computat Sci, Tallahassee, FL 32306 USA

[2] Univ Bonn, Inst Numer Simulat, D-53115 Bonn, Germany

[3] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

关键词：

robin boundary control; finite element methods; parabolic equations;

D O I：

10.1016/j.jmaa.2005.10.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal Robin boundary control problem associated with semilinear parabolic partial differential equations is considered. Existence of an optimal solution is proved and an optimality system of equations is derived. Semidiscrete finite element approximations of the optimality system are defined and error estimates are obtained. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：891 / 912

页数：22

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