An efficient preconditioning method for state box-constrained optimal control problems

DOI10.1515/jnma-2017-0047zbMath1407.65036OpenAlexW2898673772WikidataQ129074315 ScholiaQ129074315MaRDI QIDQ1726029

Owe Axelsson, Anders Ström, Maya G. Neytcheva

Publication date: 15 February 2019

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2017-0047

zbMATH Keywords

PDE-constrained optimizationstate-constrained problemstwo-by-two block preconditioningtwo-level semi-smooth Newton method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)

Related Items

Efficient iteration methods for complex systems with an indefinite matrix term, An exact Schur complement method for time-harmonic optimal control problems, Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems, Robust finite element discretization and solvers for distributed elliptic optimal control problems, Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks, An Introduction and Summary of Use of Optimal Control Methods for PDE’s, PDE-Constrained Optimization: Matrix Structures and Preconditioners, PDE-Constrained Optimization: Optimal control with L 1-Regularization, State and Control Box Constraints, Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems, Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints

Uses Software

• deal.ii

Cites Work

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