A Direct Method for Parabolic PDE Constrained Optimization Problems
Published on 13. December 2013
Book
Paperback/Softback
XIV, 216 pages
978-3-658-04475-6 (ISBN)
Description
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.
Reviews / Votes
From the book reviews:
"The thesis is well written and organized, structured in three parts: theoretical foundations, numerical methods, and applications and numerical results. The target groups are researches and students in the fields of mathematics, information systems and scientific computing as well as users confronted with PDE constrained optimization problems." (Ctirad Matonoha, zbMATH, Vol. 1293, 2014)More details
Series
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Springer Fachmedien Wiesbaden GmbH
Target group
Professional and scholarly
Research
Illustrations
30 s/w Abbildungen
XIV, 216 p. 30 illus.
Dimensions
Height: 210 mm
Width: 148 mm
Thickness: 13 mm
Weight
306 gr
ISBN-13
978-3-658-04475-6 (9783658044756)
DOI
10.1007/978-3-658-04476-3
Schweitzer Classification
Other editions
Additional editions
Andreas Potschka
A Direct Method for Parabolic PDE Constrained Optimization Problems
E-Book
11/2013
1st Edition
Springer Spektrum
€53.49
Available for download
Person
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.
Content
Parabolic PDE Constrained Optimization Problems.- Two-Grid Newton-Picard Inexact SQP.- Structure Exploiting Solution of QPs.- Applications and Numerical Results.