Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls

SIAM Journal on Control and Optimization ◽

10.1137/130917314 ◽

2014 ◽

Vol 52 (2) ◽

pp. 1010-1033 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Stability Analysis ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Second-order necessary optimality conditions for semilinear elliptic optimal control problems

Applicable Analysis ◽

10.1080/00036811.2016.1148691 ◽

2016 ◽

Vol 96 (4) ◽

pp. 626-651 ◽

Author(s):

V. H. Nhu ◽

N. H. Son ◽

J. C. Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130917570 ◽

2014 ◽

Vol 52 (2) ◽

pp. 1166-1202 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data

10.1007/s11117-018-0602-5 ◽

2018 ◽

Vol 23 (1) ◽

pp. 195-217 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Nonsmooth Data ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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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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