On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems

Publication date: 24 April 2015

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol44/abstract_vol44_pp53-72.html

zbMATH Keywords

Schur complement preconditioning commutator numerical result Poisson control saddle point system Stokes control partial differential equation-constrained optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stokes and related (Oseen, etc.) flows (76D07) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)

Related Items (9)

Efficient numerical methods for gas network modeling and simulation ⋮ Preconditioned iterative methods for Navier-Stokes control problems ⋮ Rotated block diagonal preconditioners for Navier-Stokes control problems ⋮ Matching Schur Complement Approximations for Certain Saddle-Point Systems ⋮ Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control ⋮ PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems ⋮ Efficient preconditioning techniques for velocity tracking of Stokes control problem ⋮ Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems ⋮ Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control

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