A priori error estimates for elliptic optimal control problems with a bilinear state equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article

Kroener, Axel¹  Vexler, Boris¹ 

[1] Tech Univ Munich, Zentrum Mathemat, D-85748 Garching, Germany

关键词: Optimal control;    Control constraints;    Bilinear equations;    Finite elements;    A priori error estimates;   

DOI  :  10.1016/j.cam.2009.01.023

来源: Elsevier

【 摘 要 】

In this paper a priori error analysis for the finite element discretization of an optimal control problem governed by an elliptic state equation is considered. The control variable enters the state equation as a coefficient and is subject to pointwise inequality constraints. We derive a priori error estimates for the discretization error in the control variable and confirm our theoretical results by numerical examples. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free