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

Numerical Solution ◽

Optimization Problems ◽

Trust Region ◽

Affine Scaling ◽

Pde Constrained Optimization ◽

Kkt Systems ◽

Region Approach

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):

Numerical Solution ◽

Optimization Problems ◽

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):

Domain Decomposition ◽

Numerical Solution ◽

Model Reduction ◽

Optimization Problems ◽

International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004) ◽

A Rectangular Trust-Region Approach for Unconstrained and Box-Constrained Optimization Problems

10.1201/9780429081385-138 ◽

2019 ◽

pp. 562-565

Author(s):

C. Voglis ◽

I.E. Lagaris

Keyword(s):

Optimization Problems ◽

Trust Region ◽

Region Approach

Applied Optimization - High Performance Algorithms and Software for Nonlinear Optimization ◽

A Software System for PDE-Constrained Optimization Problems

10.1007/978-1-4613-0241-4_6 ◽

2003 ◽

pp. 129-147

Author(s):

Paul T. Boggs ◽

Kevin R. Long

Keyword(s):

Optimization Problems ◽

Software System ◽

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):

Optimization Problems ◽

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):

Interior Point ◽

Interior Point Methods ◽

Optimization Problems ◽

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):

Numerical Solution ◽

Optimization Problems ◽

Heating Process ◽

Precision Method ◽

Time Optimal ◽

Optimal Heating

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):

Optimization Problems ◽

Elliptic Pde ◽

Pde Constrained Optimization ◽

Multi Level ◽

Admm Algorithm

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):

Optimization Problems ◽

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):

Optimization Problems ◽

Second Order ◽