Real-Time PDE-Constrained Optimization
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Part of Computational Science and Engineering
- Date Published: July 2007
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898716214
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Paperback
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Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs - and the requirement for rapid solution - pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics.
Read more- Answers the pressing need to capitalize on continuing advances in computing power to develop new optimization methods
- The book is aimed at readers who have expertise in simulation or numerical optimization and are interested in incorporating the two
- Also suitable for those who have worked in 'offline' optimization contexts and are interested in moving to 'online' optimization
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×Product details
- Date Published: July 2007
- format: Paperback
- isbn: 9780898716214
- length: 184 pages
- dimensions: 253 x 175 x 21 mm
- weight: 0.576kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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.
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