Goal Oriented Mesh Adaptivity for Mixed Control-State Constrained Elliptic Optimal Control Problems

Computational Methods in Applied Sciences - Applied and Numerical Partial Differential Equations ◽

10.1007/978-90-481-3239-3_8 ◽

2009 ◽

pp. 97-111 ◽

Author(s):

Michael Hintermüller ◽

Ronald H. W. Hoppe

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Mesh Adaptivity ◽

Mixed Control ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

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Lipschitz stability for elliptic optimal control problems with mixed control-state constraints

Optimization ◽

10.1080/02331930902863749 ◽

2009 ◽

Vol 59 (6) ◽

pp. 833-849 ◽

Author(s):

Walter Alt ◽

Roland Griesse ◽

Nataliya Metla ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Lipschitz Stability ◽

Mixed Control ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

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Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2007.12.002 ◽

2009 ◽

Vol 26 (2) ◽

pp. 561-598 ◽

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Order Analysis ◽

Mixed Control ◽

Pure State Constraints ◽

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An FE-Inexact Heterogeneous ADMM for Elliptic Optimal Control Problems with L1-Control Cost

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7448-6 ◽

2018 ◽

Vol 31 (6) ◽

pp. 1659-1697 ◽

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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A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

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 ◽

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 ◽

pp. 653-660

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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