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Field name	Details
Dewey Class	515.64
Title	Optimization with PDE Constraints (EB) / by Michael Hinze, Rene Pinnau, Michael Ulbrich, Stefan Ulbrich.
Author	Hinze, Michael
Added Personal Name	Pinnau, René
	Ulbrich, Michael
	Ulbrich, Stefan
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands, , 2009.
Physical Details	: online resource.
Series	Mathematical modelling : theory and applications 1386-2960 ; ; 23
ISBN	9781402088391
Summary Note	This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework. Furthermore, new structure-exploiting discrete concepts and large scale, practically relevant applications are presented. The main focus is on the algorithmical and numerical treatment of pde constrained optimization problems on the infinite dimensional level. A particular emphasis is on simple constraints, such as pointwise bounds on controls and states. For these practically important situations, tailored Newton- and SQP-type solution algorithms are proposed and a general convergence framework is developed. This is complemented with the numerical analysis of structure-preserving Galerkin schemes for optimization problems with elliptic and parabolic equations. Finally, along with the optimization of semiconductor devices and the optimization of glass cooling processes, two challenging applications of pde constrained optimization are presented. They demonstrate the scope of this emerging research field for future engineering applications.:
Contents note	Acknowledgements -- 1 Analytical Background and Optimality Theory -- 2 Optimization Methods in Banach Spaces -- 3 Discrete concepts -- 4 Applications -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4020-8839-1
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Mathematical optimization . Mathematics . Numerical Analysis . Authors: author . Hinze, Michael . Pinnau, René . Ulbrich, Michael . Ulbrich, Stefan . Corporate Authors: SpringerLink (Online service) . Series: Mathematical modelling : theory and applications . Classification: 515.64 . 515.64 (DDC 23) .

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Optimization with PDE Constraints

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