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...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2009. |
| Collection: | Mathematical Modelling: Theory and Applications
23 |
| Accès en ligne: | Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 06 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimization with PDE Constraints, Texte imprimé, 9789048121748 • Optimization with PDE Constraints, Michael Hinze,... Rene Pinnau,... Michael Ulbrich,... and Stefan Ulbrich,..., [Berlin], Springer, 2009, 1 vol. (XI-270 p.), Mathematical modelling, 978-1-4020-8838-4 • Optimization with PDE Constraints, Michael Hinze,... Rene Pinnau,... Michael Ulbrich,... and Stefan Ulbrich,..., [Berlin], Springer, 2009, 1 vol. (XI-270 p.), Mathematical modelling, 978-1-4020-8838-4 |
| Résumé: | 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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| Description: | Description d'après consultation du 06 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. Index |
| ISBN: | 9781402088391 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |