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Optimization with PDE Constraints
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 rel...
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| Format: | eBook |
| Language: | English |
| Published: |
[New York] :
Springer,
©2009.
[New York] : [2009] |
| Series: | Mathematical modelling--theory and applications ;
v. 23. |
| Physical Description: |
1 online resource (xi, 270 pages) : illustrations. |
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| Online Access: | SpringerLink - Click here for access |
| 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. |
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| Item Description: | Based on the lecture notes of the autumn school Modellierung und Optimierung mit Partiellen Differentialgleichungen, which was held in Sept. 2005 at the Universität Hamburg. |
| Access Restrictions: |
University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (xi, 270 pages) : illustrations. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781402088391 1402088396 9781402088384 1402088388 |
| Access: | University staff and students only. Requires University Computer Account login off-campus. |