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Numerical PDE-constrained optimization

De los Reyes, Juan Carlos.

Numerical PDE-constrained optimization

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical PDE-constrained optimizationby Juan Carlos De los Reyes.
Author:	De los Reyes, Juan Carlos.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 123 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Constrained optimization.
Online resource:	http://dx.doi.org/10.1007/978-3-319-13395-9
ISBN:	9783319133959 (electronic bk.)

Numerical PDE-constrained optimization
De los Reyes, Juan Carlos.

Numerical PDE-constrained optimization[electronic resource] /by Juan Carlos De los Reyes. - Cham :Springer International Publishing :2015. - x, 123 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in optimization,2190-8354. - SpringerBriefs in optimization..

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.

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.

ISBN: 9783319133959 (electronic bk.)

Standard No.: 10.1007/978-3-319-13395-9doiSubjects--Topical Terms:

455920
Constrained optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 515.353

Numerical PDE-constrained optimization
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100 1 $a De los Reyes, Juan Carlos. $3 714405
245 1 0 $a Numerical PDE-constrained optimization $h [electronic resource] / $c by Juan Carlos De los Reyes.
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300 $a x, 123 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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.
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