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Trends in PDE Constrained Optimization -

Trends in PDE Constrained Optimization

Buch | Softcover
XIV, 543 Seiten
2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-38114-5 (ISBN)
CHF 194,70 inkl. MwSt
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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.

Introduction.- Part I: Constrained Optimization, Identification and Control.- Part II: Shape and Topology Optimization.- Part III: Adaptivity and Model Reduction.- Part IV: Discretization: Concepts and Analysis.- Part V: Applications.

Erscheinungsdatum
Reihe/Serie International Series of Numerical Mathematics
Zusatzinfo XIV, 543 p. 119 illus., 76 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 837 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Adaptivity • Computational Mathematics and Numerical Analysis • Differential calculus and equations • discretization • Mathematics • mathematics and statistics • Model Reduction • Numerical analysis • optimal control • Optimization • Partial differential equations • shape and topology optimization
ISBN-10 3-319-38114-8 / 3319381148
ISBN-13 978-3-319-38114-5 / 9783319381145
Zustand Neuware
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