A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40314-020-01379-1.pdf
Reference31 articles.
1. Bai Z, Benzi M, Chen F, Wang Z (2013) Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. IMA J Numer Anal 33(1):343–369
2. Brandt A (1977) Multi-level adaptive solutions to boundary-value problems. Math Comp 31(138):333–390
3. Casas E, Tröltzsch F (2002) Error estimates for linear-quadratic elliptic control problems. International Worksing Conference on Analysis and Optimization of Differential Systems. DBLP
4. Chen L (2009) iFEM: An integrated finite element methods package in MATLAB. Technical Report. University of California at Irvine, Irvine
5. Chen Z, Song X, Zhang X, Yu B (2019) A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem. ESAIM Control Optim Calc Var 25:5
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. AONN: An Adjoint-Oriented Neural Network Method for All-At-Once Solutions of Parametric Optimal Control Problems;SIAM Journal on Scientific Computing;2024-02-15
2. A diagonal finite element-projection-proximal gradient algorithm for elliptic optimal control problem;Computers & Mathematics with Applications;2023-10
3. Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems;SIAM Journal on Matrix Analysis and Applications;2023-01-25
4. A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L1-Control Cost;Mathematics;2023-01-21
5. A differential evolution with adaptive neighborhood mutation and local search for multi-modal optimization;Neurocomputing;2022-06
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3