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

Owe Axelsson &  Davod Khojasteh Salkuyeh

doi:10.4208/nmtma.oa-2020-0016

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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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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A new preconditioner for elliptic PDE-constrained optimization problems

Numerical Algorithms ◽

10.1007/s11075-019-00697-8 ◽

2019 ◽

Vol 83 (2) ◽

pp. 653-668 ◽

Cited By ~ 1

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 ◽

Cited By ~ 4

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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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 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 ◽

Cited By ~ 1

Author(s):

Na Huang ◽

Chang-Feng Ma

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Elliptic Pde ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Block Diagonal

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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 ◽

Cited By ~ 51

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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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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