An adaptive semismooth Newton method for approximately solving control-constrained elliptic optimal control problems

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331218823862 ◽

2019 ◽

Vol 41 (11) ◽

pp. 3010-3020 ◽

Author(s):

Omid Solaymani Fard ◽

Akbar Hashemi Borzabadi ◽

Farhad Sarani

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Semismooth Newton Method ◽

Control Problems ◽

Semismooth Newton ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Semismooth Newton Method for Regularized L q-quasinorm Sparse Optimal Control Problems

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2019 ◽

10.1007/978-3-030-55874-1_71 ◽

2020 ◽

pp. 723-731

Author(s):

Pedro Merino

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Semismooth Newton Method ◽

Control Problems ◽

Semismooth Newton ◽

Sparse Optimal Control

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The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization

Optimization Methods and Software ◽

10.1080/10556788.2012.676046 ◽

2012 ◽

Vol 27 (6) ◽

pp. 933-950 ◽

Author(s):

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_9 ◽

2011 ◽

pp. 171-182 ◽

Author(s):

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints

Computational Optimization and Applications ◽

10.1007/s10589-013-9555-6 ◽

2013 ◽

Vol 56 (2) ◽

pp. 369-403 ◽

Author(s):

Samuel Amstutz ◽

Antoine Laurain

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Semismooth Newton Method ◽

Control Problems ◽

Semismooth Newton

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A Semismooth Newton Multigrid Method for Constrained Elliptic Optimal Control Problems

Springer Proceedings in Mathematics & Statistics - Advances in Global Optimization ◽

10.1007/978-3-319-08377-3_39 ◽

2014 ◽

pp. 397-405

Author(s):

Jun Liu ◽

Tingwen Huang ◽

Mingqing Xiao

Keyword(s):

Optimal Control ◽

Multigrid Method ◽

Optimal Control Problems ◽

Control Problems ◽

Semismooth Newton ◽

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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