Efficient preconditioning techniques for velocity tracking of Stokes control problem

DOI10.1016/j.apnum.2021.02.020zbMath1465.65025OpenAlexW3135685192MaRDI QIDQ2029128

Zhao-Zheng Liang, Yan Dou

Publication date: 3 June 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.02.020

zbMATH Keywords

Stokes flowpreconditioningspectral analysisPDE-constrained optimizationKrylov subspace acceleration

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Flow control and optimization for incompressible viscous fluids (76D55) Preconditioners for iterative methods (65F08) PDE constrained optimization (numerical aspects) (49M41)

Uses Software

• IFISS
• AGMG

Cites Work

• Unnamed Item
• A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
• Preconditioned iterative methods for Navier-Stokes control problems
• A comparison of iterative methods to solve complex valued linear algebraic systems
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control
• On preconditioned iteration methods for complex linear systems
• An aggregation-based algebraic multigrid method
• On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• An Algebraic Multigrid Method with Guaranteed Convergence Rate
• Nonstandard Norms and Robust Estimates for Saddle Point Problems
• Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
• Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
• Algorithm 866
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Some fast 3D finite element solvers for the generalized Stokes problem
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• A Note on Preconditioning for Indefinite Linear Systems
• Matching Schur Complement Approximations for Certain Saddle-Point Systems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm

This page was built for publication: Efficient preconditioning techniques for velocity tracking of Stokes control problem