A POSTERIORI ERROR ESTIMATE OF OPTIMAL CONTROL PROBLEM OF PDE WITH INTEGRAL CONSTRAINT FOR STATE

• 来源期刊: 计算数学（英文版）
• 关键词: State-constrained optimal control problem Adaptive finite element method A posteriori error estimate
• 年，卷（期）: 2009,（4）
• 页码范围: 525-542
• 页数: 18页
• 语种: 英文
• DOI: 10.4208/jcm.2009.27.4.017

摘要

In this paper, we study adaptive finite element discretization schemes for an optimal control problem governed by elliptic PDE with an integral constraint for the state. We derive the equivalent a posteriori error estimator for the finite element approximation, which particularly suits adaptive multi-meshes to capture different singularities of the control and the state. Numerical examples are presented to demonstrate the efficiency of a posteriori error estimator and to confirm the theoretical results.