离散状态和控制约束的最优控制对流扩散问题的预处理

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2023-10-08 DOI:10.1007/s10092-023-00542-4

Ivo Dravins, Maya Neytcheva

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引用次数: 0

摘要

摘要考虑一类代数系统的迭代解，该代数系统的最优控制问题由一个带有附加盒形约束的偏微分方程和控制变量所约束，并且控制具有稀疏性。对一种非对称的二乘二块预调节器进行了分析和测试，用于广泛的问题、正则化和离散化参数。约束方程描述了对流扩散过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems

查看原文本刊更多论文

Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems

Abstract We consider the iterative solution of algebraic systems, arising in optimal control problems constrained by a partial differential equation with additional box constraints on the state and the control variables, and sparsity imposed on the control. A nonsymmetric two-by-two block preconditioner is analysed and tested for a wide range of problem, regularization and discretization parameters. The constraint equation characterizes convection-diffusion processes.

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.