Authors:
Concise functional analytic setting for pde constrained optimization problems
Modern infinite-dimensional tailored algorithmical framework
Structure exploiting, problem adapted discrete treatment of pdes and constraints
Challenging applications
Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Modelling: Theory and Applications (MMTA, volume 23)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"The book presents a state-of-the-art of optimization problems described by partial differential equations (PDEs) and algorithms for obtaining their solutions. Solving optimization problems with constraints given in terms of PDEs is one of the most challenging problems appearing, e.g., in industry, medical and economical applications. The book consists of four chapters. … This well-written book can be recommended to scientists and graduate students working in the fields of optimal control theory, optimization algorithms and numerical solving of optimization problems described by PDEs." (Wieslaw Kotarski, Zentralblatt MATH, Vol. 1167, 2009)
Authors and Affiliations
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Dept. Mathematik, Universität Hamburg, Hamburg, Germany
Michael Hinze
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FB Mathematik, TU Kaiserslautern, Kaiserslautern Gebäude 48, Germany
Rene Pinnau
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Lehrstuhl für Mathematische Optimierung, Fakultät für Mathematik, Technische Universität München, Garching, Germany
Michael Ulbrich
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Fachbereich Mathematik, AG10, Technische Universität Darmstadt, Darmstadt, Germany
Stefan Ulbrich
Bibliographic Information
Book Title: Optimization with PDE Constraints
Authors: Michael Hinze, Rene Pinnau, Michael Ulbrich, Stefan Ulbrich
Series Title: Mathematical Modelling: Theory and Applications
DOI: https://doi.org/10.1007/978-1-4020-8839-1
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2009
Hardcover ISBN: 978-1-4020-8838-4Published: 14 November 2008
Softcover ISBN: 978-90-481-8003-5Published: 28 October 2010
eBook ISBN: 978-1-4020-8839-1Published: 16 October 2008
Series ISSN: 1386-2960
Edition Number: 1
Number of Pages: XII, 270
Topics: Calculus of Variations and Optimal Control; Optimization, Analysis, Numerical Analysis