Skip to content
Register Sign in Wishlist
Real-Time PDE-Constrained Optimization

Real-Time PDE-Constrained Optimization

£70.00

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

£ 70.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Unavailable Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • 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
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    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.

  • Authors

    L.T. Biegler
    Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University.

    O. Ghattas
    Omar Ghattas is the John A. and Katherine G. Jackson Chair in Computational Geosciences at the University of Texas at Austin.

    M. Heinkenschloss
    Matthias Heinkenschloss is Professor of Computational and Applied Mathematics at Rice University.

    D. Keyes
    David E. Keyes is the Fu Foundation Professor of Applied Mathematics at Columbia University.

    B. van Bloemen Waanders
    Bart van Bloemen Waanders is Principal Member of the Technical Staff at Sandia National Laboratories.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×