A Direct Method for Parabolic PDE Constrained Optimization Problems - Brossura

Potschka, Andreas

Brossura

ISBN 10: 3658044756 ISBN 13: 9783658044756

Casa editrice: Springer Spektrum, 2013

Riassunto

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

Su questo libro

Informazioni sull?autore

Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.

Dalla quarta di copertina

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

Contents

· Parabolic PDE Constrained Optimization Problems

· Two-Grid Newton-Picard Inexact SQP

· Structure Exploiting Solution of QPs

· Applications and Numerical Results

Target Groups

· Researchers and students in the fields of mathematics, information systems, and scientific computing

· Users with PDE constrained optimization problems, in particular in (bio-)chemical engineering

The Author

Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.

Dettagli dell'edizione

• Editore: Springer Spektrum
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3658044756
• ISBN 13: 9783658044756
• Rilegatura: Copertina flessibile
• Numero di pagine: 232
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania