Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems

Joachim Schöberl; Walter Zulehner

doi:10.1137/060660977

Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/060660977 ◽

2007 ◽

Vol 29 (3) ◽

pp. 752-773 ◽

Cited By ~ 92

Author(s):

Joachim Schöberl ◽

Walter Zulehner

Keyword(s):

Saddle Point ◽

Constrained Optimization ◽

Optimization Problems ◽

Saddle Point Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Patch Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVIII ◽

10.1007/978-3-642-02677-5_15 ◽

2009 ◽

pp. 153-160

Author(s):

René Simon ◽

Walter Zulehner

Keyword(s):

Saddle Point ◽

Constrained Optimization ◽

Optimization Problems ◽

Saddle Point Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems

Numerische Mathematik ◽

10.1007/s00211-008-0187-1 ◽

2008 ◽

Vol 111 (3) ◽

pp. 445-468 ◽

Cited By ~ 9

Author(s):

René Simon ◽

Walter Zulehner

Keyword(s):

Saddle Point ◽

Constrained Optimization ◽

Optimization Problems ◽

Saddle Point Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Preconditioners for reduced saddle point systems arising in elliptic PDE-constrained optimization problems

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0879-x ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Yuping Zeng ◽

Siqing Wang ◽

Hongru Xu ◽

Shuilian Xie

Keyword(s):

Saddle Point ◽

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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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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Single-iterative saddle-point algorithms for solving constrained optimization problems via augmented Lagrangians

Optimization Techniques - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006522 ◽

2005 ◽

pp. 179-189

Author(s):

Andrzej Wierzbicki ◽

Andrzej Janiak ◽

Tomasz Kręglewski

Keyword(s):

Saddle Point ◽

Constrained Optimization ◽

Optimization Problems ◽

Augmented Lagrangians ◽

Constrained Optimization Problems

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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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