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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Mathematical Modelling: Theory and Applications ;
23 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-1-4020-8839-1 | ||
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| 008 | 100301s2009 ne | s |||| 0|eng d | ||
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| 024 | 7 | |a 10.1007/978-1-4020-8839-1 |2 doi | |
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| 100 | 1 | |a Hinze, Michael. |e author. |0 (orcid)0000-0001-9688-0150 |1 https://orcid.org/0000-0001-9688-0150 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Optimization with PDE Constraints |h [electronic resource] / |c by Michael Hinze, Rene Pinnau, Michael Ulbrich, Stefan Ulbrich. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2009. | |
| 300 | |a XII, 270 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematical Modelling: Theory and Applications ; |v 23 | |
| 505 | 0 | |a Analytical Background and Optimality Theory -- Optimization Methods in Banach Spaces -- Discrete Concepts in PDE Constrained Optimization -- Applications. | |
| 520 | |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. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Numerical analysis. | |
| 650 | 1 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Numerical Analysis. |
| 700 | 1 | |a Pinnau, Rene. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Ulbrich, Michael. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Ulbrich, Stefan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789048180035 |
| 776 | 0 | 8 | |i Printed edition: |z 9789048121748 |
| 776 | 0 | 8 | |i Printed edition: |z 9781402088384 |
| 830 | 0 | |a Mathematical Modelling: Theory and Applications ; |v 23 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4020-8839-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||