1.

Record Nr.

UNINA9910299780703321

Autore

De los Reyes Juan Carlos

Titolo

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

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-13395-0

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (129 p.)

Collana

SpringerBriefs in Optimization, , 2190-8354

Disciplina

510

511/.8

515.353

518

519.6

Soggetti

Mathematical optimization

Partial differential equations

Numerical analysis

Optimization

Partial Differential Equations

Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.