Preconditioned iterative methods for Navier-Stokes control problems

DOI10.1016/j.jcp.2015.03.029zbMath1349.76087OpenAlexW2032266632MaRDI QIDQ349873

John W. Pearson

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.03.029

zbMATH Keywords

Schur complementpreconditioningPicard iterationPDE-constrained optimizationNavier-Stokes control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (9)

On a multigrid solver for stationary Navier-Stokes velocity-pressure tracking-type control problems ⋮ Rotated block diagonal preconditioners for Navier-Stokes control problems ⋮ Low-Rank Solution to an Optimization Problem Constrained by the Navier--Stokes Equations ⋮ Matching Schur Complement Approximations for Certain Saddle-Point Systems ⋮ Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained ⋮ Efficient preconditioning techniques for velocity tracking of Stokes control problem ⋮ Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system ⋮ Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control

Uses Software

• IFISS

Cites Work

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