FINITE ELEMENT ANALYSIS OF OPTIMAL CONTROL PROBLEM GOVERNED BY STOKES EQUATIONS WITH L2-NORM STATE-CONSTRAINTS

• 来源期刊: 计算数学（英文版）
• 关键词: Optimal control State constraints Stokes equations a priori error analysis
• 年，卷（期）: 2011,（5）
• 页码范围: 589-604
• 页数: 16页
• 语种: 英文
• DOI: 10.4208/jcm.1103-m3514

摘要

An optimal control problem governed by the Stokes equations with L2-norm state constraints is studied.Finite element approximation is constructed.The optimality conditions of both the exact and discretized problems are discussed,and the a priori error estimates of the optimal order accuracy in L2-norm and H1-norm are given.Some numerical experiments are presented to verify the theoretical results.