A New Preconditioning Strategy for Solving a Class of Time-Dependent Pde-Constrained Optimization Problems

DOI10.4208/JCM.1401-CR3zbMath1313.65167MaRDI QIDQ5499131

Min-Li Zeng, Guo-Feng Zhang

Publication date: 11 February 2015

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

zbMATH Keywords

numerical resultsheat equationconstrained optimizationpreconditioningsparse matricesKrylov subspace methodssaddle point problemorder-reductionreduced system of linear equationstime-dependent distributed control problem

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)

Related Items (6)

A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems ⋮ Preconditioning optimal control of the unsteady Burgers equations with \(H_1\) regularized term ⋮ Fast solver of optimal control problems constrained by Ohta-Kawasaki equations ⋮ Preconditioned iterative methods for the convective FitzHugh-Nagumo equations ⋮ Some preconditioners for elliptic PDE-constrained optimization problems ⋮ Preconditioned iterative method for boundary value method discretizations of a parabolic optimal control problem

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