Optimization with PDE Constraints

Language: English

Published by Springer Netherlands Okt 2010, 2010

9048180031 / 9789048180035

Series: Book 10 of 12 - Mathematical Modelling: Theory and Applications

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical eld of optimization with PDE constraints. The rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions. 284 pp. Englisch.…

Seller Inventory # 9789048180035

Title
Optimization with PDE Constraints
Author
Michael Hinze
Publisher
Springer Netherlands Okt 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9048180031
ISBN 13
9789048180035
Item weight
435 grams
Dimensions
235x155x16 mm
Series
Book 10 of 12: Mathematical Modelling: Theory and Applications

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First itemUS$ 26.20US$ 26.20
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BuchWeltWeit Ludwig Meier e.K.

Germany