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) ◽

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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On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems

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

10.1007/978-3-319-93873-8_48 ◽

2018 ◽

pp. 503-510

Author(s):

John W. Pearson ◽

Jacek Gondzio

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

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An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures

SIAM Journal on Optimization ◽

10.1137/19m125039x ◽

2021 ◽

Vol 31 (1) ◽

pp. 1-29

Author(s):

Sebastian Garreis ◽

Thomas M. Surowiec ◽

Michael Ulbrich

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Optimization Problems ◽

Risk Measures ◽

Risk Averse ◽

Coherent Risk Measures ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

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Fast interior point solvers for H 1 -regularized PDE-constrained optimization problems

PAMM ◽

10.1002/pamm.201610357 ◽

2016 ◽

Vol 16 (1) ◽

pp. 737-738

Author(s):

John W. Pearson ◽

Jacek Gondzio

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Optimization Problems ◽

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 ◽

Author(s):

Subhendu Bikash Hazra

Keyword(s):

Constrained Optimization ◽

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 ◽

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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 ◽

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 ◽

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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Primal-dual interior-point methods for PDE-constrained optimization

Mathematical Programming ◽

10.1007/s10107-007-0168-7 ◽

2007 ◽

Vol 117 (1-2) ◽

pp. 435-485 ◽

Author(s):

Michael Ulbrich ◽

Stefan Ulbrich

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Pde Constrained Optimization ◽

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