International Series of Numerical Mathematics

Constrained Optimization and Optimal Control for Partial Differential Equations

Editors: Leugering, G., Engell, S., Griewank, A., Hinze, M., Rannacher, R., Schulz, V., Ulbrich, M., Ulbrich, S. (Eds.)

  • Covers almost the entire spectrum of modern research in this emerging field
  • Presents novel methods of optimization, control and identification
  • Develops new ideas for optimization, control and corresponding numerical methods further
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About this book

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.

Table of contents (32 chapters)

  • Stabilization of Incompressible Flow Problems by Riccati-based Feedback

    Bänsch, Eberhard (et al.)

    Pages 5-20

  • Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques

    Blank, Luise (et al.)

    Pages 21-35

  • On the Connection Between Forward and Optimization Problem in One-shot One-step Methods

    Bock, Hans Georg (et al.)

    Pages 37-49

  • Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers

    Clever, Debora (et al.)

    Pages 51-74

  • Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System

    Franke, Thomas (et al.)

    Pages 75-98

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-0348-0133-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-0348-0132-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-0348-0807-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Constrained Optimization and Optimal Control for Partial Differential Equations
Editors
  • Günter Leugering
  • Sebastian Engell
  • Andreas Griewank
  • Michael Hinze
  • Rolf Rannacher
  • Volker Schulz
  • Michael Ulbrich
  • Stefan Ulbrich
Series Title
International Series of Numerical Mathematics
Series Volume
160
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0133-1
DOI
10.1007/978-3-0348-0133-1
Hardcover ISBN
978-3-0348-0132-4
Softcover ISBN
978-3-0348-0807-1
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XII, 624
Topics