SpringerBriefs in Optimization

Numerical PDE-Constrained Optimization

Authors: De los Reyes, Juan Carlos

  • Clear exposition of first and second order optimality conditions for PDE-constrained optimization problems
  • Careful and accessible presentation of optimization methods for solving PDE-constrained optimization problems, including MATLAB codes
  • Analytical and numerical treatment of representative nonsmooth PDE-constrained optimization problems
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-13395-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-13394-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Juan Carlos De los Reyes is a Director of the Research Center on Mathematical Modelling (MODEMAT), and Professor of Optimization and Control at Escuela Politecnica Nacional.

Table of contents (6 chapters)

  • Introduction

    De los Reyes, Juan Carlos

    Pages 1-8

  • Basic Theory of Partial Differential Equations and Their Discretization

    De los Reyes, Juan Carlos

    Pages 9-23

  • Theory of PDE-Constrained Optimization

    De los Reyes, Juan Carlos

    Pages 25-41

  • Numerical Optimization Methods

    De los Reyes, Juan Carlos

    Pages 43-68

  • Box-Constrained Problems

    De los Reyes, Juan Carlos

    Pages 69-90

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-13395-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-13394-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical PDE-Constrained Optimization
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-13395-9
DOI
10.1007/978-3-319-13395-9
Softcover ISBN
978-3-319-13394-2
Series ISSN
2190-8354
Edition Number
1
Number of Pages
X, 123
Number of Illustrations and Tables
11 b/w illustrations, 2 illustrations in colour
Topics