Numerical PDE-constrained optimization [[electronic resource] /] / by Juan Carlos De los Reyes
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| Autore: |
De los Reyes Juan Carlos
|
| Titolo: |
Numerical PDE-constrained optimization [[electronic resource] /] / by Juan Carlos De los Reyes
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (129 p.) |
| Disciplina: | 510 |
| 511/.8 | |
| 515.353 | |
| 518 | |
| 519.6 | |
| Soggetto topico: | Mathematical optimization |
| Partial differential equations | |
| Numerical analysis | |
| Optimization | |
| Partial Differential Equations | |
| Numerical Analysis | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Introduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization. |
| Sommario/riassunto: | This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and nonlinear ones. In addition, MATLAB codes, for representative problems, are included. Furthermore, recent results in the emerging field of nonsmooth numerical PDE constrained optimization are also covered. The book provides an overview on the derivation of optimality conditions and on some solution algorithms for problems involving bound constraints, state-constraints, sparse cost functionals and variational inequality constraints. |
| Titolo autorizzato: | Numerical PDE-constrained optimization |
| ISBN: | 3-319-13395-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299780703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Optimization, . 2190-8354