Trends in PDE constrained optimization /

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Bibliographic Details
Imprint:Cham : Birkhäuser, 2014.
Description:1 online resource (xiv, 543 pages) : illustrations (some color).
Language:English
Series:International Series of Numerical Mathematics, 0373-3149 ; volume 165
International series of numerical mathematics ; volume 165.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11091044
Hidden Bibliographic Details
Other authors / contributors:Leugering, Günter, 1953- editor.
ISBN:9783319050836
3319050834
3319050826
9783319050829
9783319050829
Notes:Includes bibliographical references at the end of each chapters.
Online resource; title from PDF title page (SpringerLink, viewed January 13, 2015).
Summary:Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on "Optimization with Partial Differential Equations" from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constraine.
Other form:Printed edition: 9783319050829
Standard no.:10.1007/978-3-319-05083-6
Description
Summary:Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on "Optimization with Partial Differential Equations" from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on "Constrained Optimization, Identification and Control", "Shape and Topology Optimization", "Adaptivity and Model Reduction", "Discretization: Concepts and Analysis" and "Applications". Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.
Physical Description:1 online resource (xiv, 543 pages) : illustrations (some color).
Bibliography:Includes bibliographical references at the end of each chapters.
ISBN:9783319050836
3319050834
3319050826
9783319050829
ISSN:0373-3149
;