Domain Decomposition Methods for PDE Constrained Optimization Problems

High Performance Computing for Computational Science - VECPAR 2004 - Lecture Notes in Computer Science ◽

10.1007/11403937_43 ◽

2005 ◽

pp. 569-582

Author(s):

Ernesto Prudencio ◽

Richard Byrd ◽

Xiao-Chuan Cai

Keyword(s):

Constrained Optimization ◽

Domain Decomposition ◽

Optimization Problems ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables

Computing and Visualization in Science ◽

10.1007/s00791-010-0142-4 ◽

2010 ◽

Vol 13 (6) ◽

pp. 249-264 ◽

Cited By ~ 19

Author(s):

Harbir Antil ◽

Matthias Heinkenschloss ◽

Ronald H. W. Hoppe ◽

Danny C. Sorensen

Keyword(s):

Constrained Optimization ◽

Domain Decomposition ◽

Numerical Solution ◽

Model Reduction ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.017 ◽

2018 ◽

Vol 75 (6) ◽

pp. 2115-2133 ◽

Cited By ~ 1

Author(s):

Jun Liu ◽

Zhu Wang

Keyword(s):

Constrained Optimization ◽

Domain Decomposition ◽

Time Domain ◽

Optimization Problems ◽

Decomposition Algorithms ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Parabolic Pde

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A Software System for PDE-Constrained Optimization Problems

Applied Optimization - High Performance Algorithms and Software for Nonlinear Optimization ◽

10.1007/978-1-4613-0241-4_6 ◽

2003 ◽

pp. 129-147

Author(s):

Paul T. Boggs ◽

Kevin R. Long

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Software System ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Multigrid One-Shot Method for PDE-Constrained Optimization Problems

Applied Mathematics ◽

10.4236/am.2012.330216 ◽

2012 ◽

Vol 03 (10) ◽

pp. 1565-1571 ◽

Cited By ~ 1

Author(s):

Subhendu Bikash Hazra

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Interior‐point methods and preconditioning for PDE‐constrained optimization problems involving sparsity terms

Numerical Linear Algebra with Applications ◽

10.1002/nla.2276 ◽

2019 ◽

Vol 27 (2) ◽

Cited By ~ 1

Author(s):

John W. Pearson ◽

Margherita Porcelli ◽

Martin Stoll

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

Computational and Applied Mathematics ◽

10.1007/s40314-020-01379-1 ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Xiaotong Chen ◽

Xiaoliang Song ◽

Zixuan Chen ◽

Bo Yu

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Multi Level ◽

Admm Algorithm

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Transforming smoothers for PDE constrained optimization problems

Computing and Visualization in Science ◽

10.1007/s00791-008-0094-0 ◽

2008 ◽

Vol 11 (4-6) ◽

pp. 207-219 ◽

Cited By ~ 6

Author(s):

Volker Schulz ◽

Gabriel Wittum

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Second-order adjoints for solving PDE-constrained optimization problems

Optimization Methods and Software ◽

10.1080/10556788.2011.610455 ◽

2012 ◽

Vol 27 (4-5) ◽

pp. 625-653 ◽

Cited By ~ 15

Author(s):

Alexandru Cioaca ◽

Mihai Alexe ◽

Adrian Sandu

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Second Order ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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On the convergence of right transforming iterations for the numerical solution of PDE-constrained optimization problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.788 ◽

2011 ◽

Vol 19 (4) ◽

pp. 621-638

Author(s):

Christopher Linsenmann

Keyword(s):

Constrained Optimization ◽

Numerical Solution ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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On Block Preconditioners for Pde-Constrained Optimization Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1401-cr4 ◽

2014 ◽

Vol 32 (3) ◽

pp. 272-283 ◽

Cited By ~ 2

Author(s):

Xiaoying Zhang and Yumei Huang

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Block Preconditioners

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