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Real-Time PDE-Constrained Optimization

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Table of Contents

Preface; Part I. Concepts and Properties of Real-Time, Online Strategies: 1. Constrained optimal feedback control for DAE; 2. A stabilizing real-time implementation of NMPC; 3. Numerical feedback controller design for PDE systems using model reduction: techniques and case studies; 4. Least-squares methods for optimization; Part II. Fast PDE-Constrained Optimization Solvers: 5. Space-time multigrid methods for solving unsteady optimal control problem; 6. A time-parallel implicit methodology for the near-real-time solution of systems of linear oscillators; 7. Generalized SQP-methods with 'parareal' time-domain decomposition for time-dependent PDE-constrained optimization; 8. Simultaneous pseudo-timestepping for state constrained optimization problems in aerodynamics; 9. The effect of the digital filter stepsize control on control optimization performance; Part III. Reduced Order Modeling: 10. Certified rapid solution of partial differential equations for real-time parameter estimation and optimization; 11. WillcoxMOR; 12. Feedback control of flow separation; Part IV. Applications: 13. Shape and topological sensitivity; 14. COFIR: Coarse and fine image registration; 15. Real-time, large scale optimization of water network systems using a subdomain approach; Index.

About the Author

Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University. Omar Ghattas is the John A. and Katherine G. Jackson Chair in Computational Geosciences at the University of Texas at Austin. Matthias Heinkenschloss is Professor of Computational and Applied Mathematics at Rice University. David E. Keyes is the Fu Foundation Professor of Applied Mathematics at Columbia University. Bart van Bloemen Waanders is Principal Member of the Technical Staff at Sandia National Laboratories.

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