A Priori Error Analysis of Mixed Virtual Element Methods for Optimal Control Problems Governed by Darcy Equation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-01 DOI:10.4208/eajam.070322.210722

Xiuhe Wang, Qiming Wang null, Zhaojie Zhou

引用次数: 2

Abstract

. A mixed virtual element discretization of optimal control problems governed by the Darcy equation with pointwise control constraint is investigated. A discrete scheme uses virtual element approximations of the state equation and a variational discretization of the control variable. A discrete ﬁrst-order optimality system is obtained by the ﬁrst-discretize-then-optimize approach. A priori error estimates of the state, ad-joint, and control variables are derived. Numerical experiments conﬁrm the theoretical results.

查看原文本刊更多论文

Darcy方程最优控制问题的混合虚拟单元方法的先验误差分析

．研究了带点控制约束的达西方程最优控制问题的混合虚元离散化问题。离散方案使用状态方程的虚元近似和控制变量的变分离散化。采用先离散后优化的方法，得到一个离散的一阶最优系统。推导了状态变量、联合变量和控制变量的先验误差估计。数值实验证实了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.