带点态约束的椭圆型分布最优控制问题的对称内罚方法

IF 1 4区数学 Q3 MATHEMATICS, APPLIED Computational Methods in Applied Mathematics Pub Date : 2023-02-15 DOI:10.1515/cmam-2022-0148

S. C. Brenner, J. Gedicke, L. Sung

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引用次数: 2

摘要

摘要针对一般多边形域上具有点向状态约束的椭圆型分布最优控制问题，构造了一种对称内罚方法。所得到的离散问题是具有简单框约束的二次规划，可以通过原始对偶主动集算法有效地求解。给出了理论分析和数值结果。

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A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints

Abstract We construct a symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints on general polygonal domains. The resulting discrete problems are quadratic programs with simple box constraints that can be solved efficiently by a primal-dual active set algorithm. Both theoretical analysis and corroborating numerical results are presented.

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.