Numerical PDE-constrained optimization [electronic resource] / Juan Carlos De los Reyes.
2015
QA402.5
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Details
Title
Numerical PDE-constrained optimization [electronic resource] / Juan Carlos De los Reyes.
ISBN
9783319133959 electronic book
3319133950 electronic book
9783319133942
3319133950 electronic book
9783319133942
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (x, 123 pages) : illustrations.
Item Number
10.1007/978-3-319-13395-9 doi
Call Number
QA402.5
Dewey Decimal Classification
515/.353
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 11, 2015).
Series
SpringerBriefs in optimization.
Available in Other Form
Print version: 9783319133942
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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.
Basic Theory of Partial Differential Equations and Their Discretization
Theory of PDE-constrained Optimization
Numerical Optimization Methods
Box-constrained Problems
Nonsmooth PDE-constrained Optimization.