A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Scientific Computing Pub Date : 2024-06-28 DOI:10.1007/s10915-024-02590-6

Susanne C. Brenner, José C. Garay, Li-yeng Sung

引用次数: 0

Abstract

We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rough coefficients. We show that the performance of the multiscale finite element method is similar to the performance of standard finite element methods for smooth problems and present corroborating numerical results.

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具有粗糙系数和控制约束条件的椭圆分布式最优控制问题的多尺度有限元方法

我们构建并分析了一种多尺度有限元方法，该方法适用于具有点式控制约束条件的椭圆分布式最优控制问题，其中状态方程具有粗糙系数。我们的研究表明，多尺度有限元方法的性能与标准有限元方法在平滑问题上的性能相似，并给出了确证的数值结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Scientific Computing 数学-应用数学

CiteScore

4.00

自引率

12.00%

发文量

302

审稿时长

4-8 weeks

期刊介绍： Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering. The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.