Efficient Solvers for Saddle Point Problems with Applications to PDE–Constrained Optimization

DOI10.1007/978-3-642-30316-6_9zbMath1263.65030OpenAlexW137539163MaRDI QIDQ4915475

Walter Zulehner

Publication date: 10 April 2013

Published in: Advanced Finite Element Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-30316-6_9

zbMATH Keywords

interpolationnumerical examplessaddle point problemspreconditionersKrylov subspace methodSchur complements

Mathematics Subject Classification ID

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 (8)

Preconditioning optimal control of the unsteady Burgers equations with \(H_1\) regularized term ⋮ Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems ⋮ Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems ⋮ Iterative solution methods for 3D controlled-source electromagnetic forward modelling of geophysical exploration scenarios ⋮ Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks ⋮ Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control ⋮ On a type of matrix splitting preconditioners for a class of block two-by-two linear systems ⋮ PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems

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