Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls

• 成果类型: Article
• 署名作者: Kunisch, Karl; Lu, Xiliang
• 署名单位: University of Graz; Wuhan University
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-012-0587-y
• 发表日期: 2013
• 页码: 461-483
• 关键词: Optimization; EQUATIONS

摘要

Optimal control for an elliptic system with pointwise Euclidean norm constraints on the control variables is investigated. First order optimality conditions are derived in a manner that is amenable for numerical realisation. An efficient semismooth Newton algorithm is proposed based on this optimality system. Numerical examples are given to validate the superlinear convergence of the semismoothNewton algorithm.