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Numerical PDE-constrained optimization / / by Juan Carlos De los Reyes



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Autore: De los Reyes Juan Carlos Visualizza persona
Titolo: Numerical PDE-constrained optimization / / by Juan Carlos De los Reyes Visualizza cluster
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  Visualizza cluster
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
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Serie: SpringerBriefs in Optimization, . 2190-8354