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

Harbir Antil; Matthias Heinkenschloss; Ronald H. W. Hoppe; Danny C. Sorensen

doi:10.1007/s00791-010-0142-4

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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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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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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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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Numerical solution of KKT systems in PDE-constrained optimization problems via the affine scaling trust-region approach†

International Journal of Computer Mathematics ◽

10.1080/00207160802155294 ◽

2009 ◽

Vol 86 (12) ◽

pp. 2122-2142

Author(s):

Stefania Bellavia ◽

Sandra Pieraccini

Keyword(s):

Constrained Optimization ◽

Numerical Solution ◽

Optimization Problems ◽

Trust Region ◽

Affine Scaling ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Kkt Systems ◽

Region Approach

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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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An adaptive precision method for the numerical solution of constrained optimization problems applied to a time-optimal heating process

Optimization Techniques - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006517 ◽

2005 ◽

pp. 125-135 ◽

Cited By ~ 1

Author(s):

K. Schittkowski

Keyword(s):

Constrained Optimization ◽

Numerical Solution ◽

Optimization Problems ◽

Heating Process ◽

Constrained Optimization Problems ◽

Precision Method ◽

Time Optimal ◽

Optimal Heating

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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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