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.)
Free Preview- 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
Buy this book
- 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
Pages 5-20
-
Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques
Pages 21-35
-
On the Connection Between Forward and Optimization Problem in One-shot One-step Methods
Pages 37-49
-
Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers
Pages 51-74
-
Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System
Pages 75-98
-
Table of contents (32 chapters)
- Download Sample pages 2 PDF (669.2 KB)
- Download Table of contents PDF (53.4 KB)
Recommended for you
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
- XI, 622
- Number of Illustrations
- 63 b/w illustrations, 80 illustrations in colour
- Topics
