Numerical PDE-constrained optimization [electronic resource] / Juan Carlos De los Reyes.

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Numerical PDE-constrained optimization [electronic resource] / Juan Carlos De los Reyes.

9783319133959 electronic book
3319133950 electronic book
9783319133942

Cham : Springer, 2015.

English

1 online resource (x, 123 pages) : illustrations.

10.1007/978-3-319-13395-9 doi

QA402.5

515/.353

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed February 11, 2015).

SpringerBriefs in optimization.

Print version: 9783319133942

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