Superconvergence for elliptic optimal control problems discretized
by RT1 mixed finite elements and linear discontinuous elements

Tianliang Hou;  ; Yanping Chen;

doi:10.3934/jimo.2013.9.631

Superconvergence for elliptic optimal control problems discretized by RT1 mixed finite elements and linear discontinuous elements

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2013.9.631 ◽

2013 ◽

Vol 9 (3) ◽

pp. 631-642

Author(s):

Tianliang Hou ◽

◽

Yanping Chen ◽

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Mixed Finite Elements ◽

Control Problems ◽

Discontinuous Elements ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems

Computing ◽

10.1007/s00607-008-0024-5 ◽

2009 ◽

Vol 84 (1-2) ◽

pp. 27-48 ◽

Cited By ~ 30

Author(s):

O. Lass ◽

M. Vallejos ◽

A. Borzi ◽

C. C. Douglas

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7448-6 ◽

2018 ◽

Vol 31 (6) ◽

pp. 1659-1697 ◽

Cited By ~ 2

Author(s):

Xiaoliang Song ◽

Bo Yu ◽

Yiyang Wang ◽

Xuping Zhang

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Cost ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Cited By ~ 1

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_17 ◽

2011 ◽

pp. 303-317 ◽

Cited By ~ 6

Author(s):

Andreas Günther ◽

Michael Hinze ◽

Moulay Hicham Tber

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Control And State Constraints ◽

Elliptic Optimal Control

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Asymptotic Analysis of Elliptic Optimal Control Problems in Thick Multistructures with Dirichlet and Neumann Boundary Controls

Optimal Control Problems for Partial Differential Equations on Reticulated Domains ◽

10.1007/978-0-8176-8149-4_13 ◽

2011 ◽

pp. 477-514

Author(s):

Peter I. Kogut ◽

Günter R. Leugering

Keyword(s):

Optimal Control ◽

Asymptotic Analysis ◽

Optimal Control Problems ◽

Neumann Boundary ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Boundary Controls ◽

Elliptic Optimal Control

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Multigrid Methods for Linear Elliptic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_78 ◽

2008 ◽

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Author(s):

M. Vallejos ◽

A. Borzì

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0019 ◽

2020 ◽

Vol 12 (2) ◽

pp. 527-544

Author(s):

Hongbo Guan

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Convergence And Superconvergence ◽

Elliptic Optimal Control

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Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0016 ◽

2020 ◽

Vol 13 (2) ◽

pp. 400-432

Author(s):

global sci

Keyword(s):

Optimal Control ◽

Fourth Order ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Elliptic Optimal Control Problems ◽

Mixed Element ◽

Elliptic Optimal Control

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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Explicit solutions for distributed, boundary and distributed-boundary elliptic optimal control problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01355-2 ◽

2020 ◽

Vol 64 (1-2) ◽

pp. 283-311

Author(s):

Julieta Bollati ◽

Claudia M. Gariboldi ◽

Domingo A. Tarzia

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Explicit Solutions ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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