Numerical PDE-constrained optimization /

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Bibliographic Details
Author / Creator:Reyes, Juan Carlos de los, author.
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
Hidden Bibliographic Details
ISBN:9783319133959
3319133950
3319133942
9783319133942
9783319133942
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed February 11, 2015).
Summary: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.
Other form:Printed edition: 9783319133942
Standard no.:10.1007/978-3-319-13395-9
Table of Contents:
  • 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.