Numerical analysis of the elliptic optimal control problem with Lp-norm state constraints

被引:0
|
作者
Niu, Haifeng [1 ]
Zhang, Jiansong [2 ]
Zhang, Liuwei [3 ]
Tian, Yanwei [4 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China
[2] China Univ Petr, Dept Appl Math, Qingdao 266580, Peoples R China
[3] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[4] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
关键词
elliptic control; state constraint; finite element method; error estimates; STOKES-FLOW; APPROXIMATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An optimal control problem governed by an elliptic equations with an L-p-norm state constraint is analyzed. The finite element approximation and its optimal a priori estimates are given. The numerical experiments are performed to confirm the a priori estimates.
引用
收藏
页码:213 / 216
页数:4
相关论文
共 50 条
  • [41] Stochastic Galerkin Method for Optimal Control Problem Governed by Random Elliptic PDE with State Constraints
    Wanfang Shen
    Liang Ge
    Wenbin Liu
    Journal of Scientific Computing, 2019, 78 : 1571 - 1600
  • [42] A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints
    Brenner, Susanne C. C.
    Gedicke, Joscha
    Sung, Li-Yeng
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2023, 23 (03) : 565 - 589
  • [43] lp-norm minimization for outlier-resistant elliptic positioning in-stable α -impulsive interference
    Xiong, Wenxin
    He, Jiajun
    So, Hing Cheung
    Liang, Junli
    Leung, Chi-Sing
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (01): : 21 - 31
  • [44] Capped lp-norm linear discriminant analysis for robust projections learning
    Wang, Zheng
    Hu, Haojie
    Wang, Rong
    Zhang, Qianrong
    Nie, Feiping
    Li, Xuelong
    NEUROCOMPUTING, 2022, 511 : 399 - 409
  • [45] Feature extraction based on Lp-norm generalized principal component analysis
    Liang, Zhizheng
    Xia, Shixiong
    Zhou, Yong
    Zhang, Lei
    Li, Youfu
    PATTERN RECOGNITION LETTERS, 2013, 34 (09) : 1037 - 1045
  • [46] Variance analysis of unbiased complex-valued lp-norm minimizer
    Chen, Yuan
    So, Hing Cheung
    Kuruoglu, Ercan Engin
    Yang, Xiao Long
    SIGNAL PROCESSING, 2017, 135 : 17 - 25
  • [47] Block Principle Component Analysis with Lp-norm for Robust and Sparse Modelling
    唐肝翌
    卢桂馥
    Journal of Shanghai Jiaotong University(Science), 2018, 23 (03) : 398 - 403
  • [48] Existence of regular Lagrange multipliers for a nonlinear elliptic optimal control problem with pointwise control-state constraints
    Roesch, A.
    Troeltzsch, F.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (02) : 548 - 564
  • [49] Block Principle Component Analysis with Lp-norm for Robust and Sparse Modelling
    Tang G.
    Lu G.
    Journal of Shanghai Jiaotong University (Science), 2018, 23 (3) : 398 - 403
  • [50] lp-norm based iterative adaptive approach for robust spectral analysis
    Chen, Yuan
    So, H. C.
    Sun, Weize
    SIGNAL PROCESSING, 2014, 94 : 144 - 148