A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
DOI10.1016/j.cam.2004.03.005zbMath1075.65091OpenAlexW2080621333WikidataQ58047999 ScholiaQ58047999MaRDI QIDQ704186
Publication date: 13 January 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.005
heat equationnumerical experimentspreconditioningpartial differential equationsKrylov subspace methodsGauss-Seidel methodparabolicsuboptimal controlinstantaneous controlmultiple shootingDirichlet controldiscrete-time optimal control problemlarge-scale linear quadratic optimal control problemsNeumann controltime-domain decomposition
Numerical optimization and variational techniques (65K10) Linear-quadratic optimal control problems (49N10) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)
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- Representation and control of infinite dimensional systems. Volume I
- The superlinear convergence behaviour of GMRES
- On exact and approximate boundary controllabilities for the heat equation: A numerical approach
- Analysis of instantaneous control for the Burgers equation
- Instantaneous control of backward-facing step flows
- Convergence estimates for solution of integral equations with GMRES
- Time-domain decomposition of optimal control problems for the wave equation
- Fast Solution of Optimal Control Problems in the Selective Cooling of Steel
- DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms
- Feedback control for unsteady flow and its application to the stochastic Burgers equation
- On suboptimal control strategies for the Navier-Stokes equations
- Iterative Solution Methods
- Dynamics and Approximations of a Velocity Tracking Problem for the Navier--Stokes Flows with Piecewise Distributed Controls
- Numerical Solution of a Flow-Control Problem: Vorticity Reduction by Dynamic Boundary Action
- Circumventing Storage Limitations in Variational Data Assimilation Studies
- Suboptimal control of turbulent channel flow for drag reduction