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) ◽

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 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 ◽

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A new preconditioner for elliptic PDE-constrained optimization problems

Numerical Algorithms ◽

10.1007/s11075-019-00697-8 ◽

2019 ◽

Vol 83 (2) ◽

pp. 653-668 ◽

Author(s):

Hamid Mirchi ◽

Davod Khojasteh Salkuyeh

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Some preconditioners for elliptic PDE-constrained optimization problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.01.009 ◽

2018 ◽

Vol 75 (8) ◽

pp. 2795-2813 ◽

Author(s):

Yi-Fen Ke ◽

Chang-Feng Ma

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

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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A Preconditioned GMRES Method for Elliptic PDE-constrained Optimization Problems

2014 Tenth International Conference on Computational Intelligence and Security ◽

10.1109/cis.2014.76 ◽

2014 ◽

Author(s):

Cong-Yi Zhu ◽

Yu-Mei Huang

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Gmres Method ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Preconditioned Gmres

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Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.018 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2423-2437 ◽

Author(s):

Na Huang ◽

Chang-Feng Ma

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

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Block preconditioners for elliptic PDE-constrained optimization problems

Computing ◽

10.1007/s00607-010-0125-9 ◽

2010 ◽

Vol 91 (4) ◽

pp. 379-395 ◽

Author(s):

Zhong-Zhi Bai

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Block Preconditioners

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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 ◽

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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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 ◽

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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A New Iteration and Preconditioning Method for Elliptic PDE-Constrained Optimization Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0016 ◽

2020 ◽

Vol 13 (4) ◽

pp. 1098-1122

Author(s):

Owe Axelsson & Davod Khojasteh Salkuyeh

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Preconditioning Method

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