A reordering-based preconditioner for elliptic PDE-constrained optimization problems with small Tikhonov parameters

DOI10.1007/s40314-023-02317-7zbMath1524.65160OpenAlexW4367672227MaRDI QIDQ6161109

Qing-Qing Zheng

Publication date: 2 June 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02317-7

zbMATH Keywords

convergence analysiseigenvaluepreconditionerPDE-constrained optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10)

Cites Work

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• Block preconditioners for elliptic PDE-constrained optimization problems
• Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems
• Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
• Some preconditioners for elliptic PDE-constrained optimization problems
• A new preconditioner for elliptic PDE-constrained optimization problems
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• Optimal Solvers for PDE-Constrained Optimization
• Algorithm 866
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
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