Multigrid solution of a distributed optimal control problem constrained by the Stokes equations

DOI10.1016/j.amc.2012.11.070zbMath1280.49045arXiv1110.5281OpenAlexW2095225344MaRDI QIDQ2434865

Ana Maria Soane, Andrei Drăgănescu

Publication date: 31 January 2014

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

Full work available at URL: https://arxiv.org/abs/1110.5281

zbMATH Keywords

finite elementsmultigrid methodsStokes equationsPDE-constrained optimizationoptimal order preconditioners

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (14)

Multigrid preconditioners for optimal control problems with stochastic elliptic PDE constraints ⋮ A multigrid solver for Stokes control problems ⋮ Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time ⋮ Multigrid preconditioning of linear systems for semi-smooth Newton methods applied to optimization problems constrained by smoothing operators ⋮ On a multigrid solver for stationary Navier-Stokes velocity-pressure tracking-type control problems ⋮ A practical factorization of a Schur complement for PDE-constrained distributed optimal control ⋮ Enhancement of flow measurements using fluid-dynamic constraints ⋮ A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems ⋮ Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems ⋮ Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control ⋮ Optimal-Order Preconditioners for Linear Systems Arising in the Semismooth Newton Solution of a Class of Control-Constrained Problems ⋮ Multigrid Preconditioners for the Newton--Krylov Method in the Optimal Control of the Stationary Navier--Stokes Equations ⋮ A robust all-at-once multigrid method for the Stokes control problem ⋮ Discontinuous Finite Volume Element Methods for the Optimal Control of Brinkman Equations

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