Uzawa algorithms for coupled Stokes equations from the optimal control problem

DOI10.1007/s10092-009-0158-7zbMath1197.65069OpenAlexW2097502474MaRDI QIDQ835746

Sang Dong Kim

Publication date: 31 August 2009

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-009-0158-7

zbMATH Keywords

optimal controlconvergenceUzawa algorithmStokes equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (5)

An Uzawa-type algorithm for the coupled Stokes equations ⋮ Convergence of distributed optimal control problems governed by elliptic variational inequalities ⋮ Convergence of the Uzawa method for the Stokes equations with damping ⋮ Semi-convergence of parameterized Uzawa waveform relaxation method for a class of differential-algebraic equations ⋮ Krylov improvements of the Uzawa method for Stokes type operator matrices

Cites Work

• Optimal relaxation parameter for the Uzawa method
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Least-squares methods for optimal control
• An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
• Perspectives in Flow Control and Optimization
• A Unified Approach for Uzawa Algorithms
• Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems
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