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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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| Corporate Author: | |
|---|---|
| Other Authors: | |
| 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. |
| Subjects: | |
| Online Access: | SpringerLink - Click here for access |
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| 245 | 0 | 0 | |a Optimization with PDE Constraints / |c M. Hinze [and others]. |
| 260 | |a [New York] : |b Springer, |c ©2009. | ||
| 264 | 1 | |a [New York] : |b Springer, |c [2009] | |
| 264 | 4 | |c ©2009. | |
| 300 | |a 1 online resource (xi, 270 pages) : |b illustrations. | ||
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| 490 | 1 | |a Mathematical modelling-- theory and applications ; |v v. 23. | |
| 504 | |a Includes bibliographical references. | ||
| 500 | |a 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. | ||
| 505 | 0 | |a Acknowledgements -- 1 Analytical Background and Optimality Theory -- 2 Optimization Methods in Banach Spaces -- 3 Discrete concepts -- 4 Applications -- References. | |
| 520 | 8 | |a 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. | |
| 506 | |a University staff and students only. Requires University Computer Account login off-campus. | ||
| 650 | 0 | |a Mathematical models. |0 https://id.loc.gov/authorities/subjects/sh85082124. | |
| 650 | 0 | |a Differential equations, Partial. |0 https://id.loc.gov/authorities/subjects/sh85037912. | |
| 650 | 0 | |a Constrained optimization. |0 https://id.loc.gov/authorities/subjects/sh2007000008. | |
| 650 | 2 | |a Models, Theoretical. |0 https://id.nlm.nih.gov/mesh/D008962. | |
| 650 | 6 | |a Optimisation sous contraintes. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 6 | |a Modèles mathématiques. | |
| 650 | 7 | |a mathematical models. |2 aat. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh. | |
| 650 | 0 | 7 | |a Optimisation sous contrainte. |2 cct. |
| 650 | 0 | 7 | |a Équations aux dérivées partielles. |2 cct. |
| 650 | 0 | 7 | |a Constrained optimization. |2 cct. |
| 650 | 0 | 7 | |a Differential equations, Partial. |2 cct. |
| 650 | 7 | |a Constrained optimization. |2 fast. | |
| 650 | 7 | |a Differential equations, Partial. |2 fast. | |
| 650 | 7 | |a Mathematical models. |2 fast. | |
| 700 | 1 | |a Hinze, Michael. |0 https://id.loc.gov/authorities/names/nb2008026794. | |
| 710 | 2 | |a SpringerLink (Online service) |0 https://id.loc.gov/authorities/names/no2005046756. | |
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| 830 | 0 | |a Mathematical modelling--theory and applications ; |0 https://id.loc.gov/authorities/names/n96079928 |v v. 23. | |
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