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Optimization with PDE Constraints / by Michael Hinze, Rene Pinnau, Michael Ulbrich, Stefan Ulbrich; managing editor: R. Lowen ; series editors: R. Laubenbacher, A. Stevens

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathematical Modelling: Theory and Applications ; 23 | SpringerLink BücherPublisher: Dordrecht : Springer Netherlands, 2009Description: Online-Ressource (digital)ISBN:
  • 9781402088391
Subject(s): Additional physical formats: 9781402088384 | Buchausg. u.d.T.: Optimization with PDE constraints. [New York u.a.] : Springer, 2009. XI, 270 S.MSC: MSC: *49-02 | 90-02 | 35-02RVK: RVK: SK 880LOC classification:
  • QA315-316 QA402.3 QA402.5-QA402.6
DOI: DOI: 10.1007/978-1-4020-8839-1Online resources: Summary: Analytical Background and Optimality Theory -- Optimization Methods in Banach Spaces -- Discrete Concepts in PDE Constrained Optimization -- Applications.Summary: 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.PPN: PPN: 1647567041Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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