Numerical PDE-constrained optimization /
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Author / Creator: | Reyes, Juan Carlos de los, author. |
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Imprint: | Cham : Springer, 2015. |
Description: | 1 online resource (x, 123 pages) : illustrations (some color). |
Language: | English |
Series: | SpringerBriefs in optimization, 2190-8354 SpringerBriefs in optimization. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11091719 |
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100 | 1 | |a Reyes, Juan Carlos de los, |e author. |0 http://id.loc.gov/authorities/names/no2015063435 |1 http://viaf.org/viaf/315994856 | |
245 | 1 | 0 | |a Numerical PDE-constrained optimization / |c Juan Carlos De los Reyes. |
264 | 1 | |a Cham : |b Springer, |c 2015. | |
300 | |a 1 online resource (x, 123 pages) : |b illustrations (some color). | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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347 | |a text file |b PDF |2 rda | ||
490 | 1 | |a SpringerBriefs in optimization, |x 2190-8354 | |
504 | |a Includes bibliographical references and index. | ||
588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed February 11, 2015). | |
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. | ||
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. | |
650 | 0 | |a Constrained optimization. |0 http://id.loc.gov/authorities/subjects/sh2007000008 | |
650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
650 | 7 | |a Constrained optimization. |2 fast |0 (OCoLC)fst01742064 | |
650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
655 | 4 | |a Electronic books. | |
776 | 0 | 8 | |i Printed edition: |z 9783319133942 |
830 | 0 | |a SpringerBriefs in optimization. |0 http://id.loc.gov/authorities/names/no2011190809 | |
856 | 4 | 0 | |u http://link.springer.com/10.1007/978-3-319-13395-9 |y SpringerLink |
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928 | |t Library of Congress classification |a QA402.5 |l Online |c UC-FullText |u http://link.springer.com/10.1007/978-3-319-13395-9 |z SpringerLink |g ebooks |i 9905222 |