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Numerical PDE-Constrained Optimization

  • Juan Carlos De los Reyes

Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Table of contents

  1. Front Matter
    Pages i-x
  2. Juan Carlos De los Reyes
    Pages 1-8
  3. Juan Carlos De los Reyes
    Pages 25-41
  4. Juan Carlos De los Reyes
    Pages 43-68
  5. Juan Carlos De los Reyes
    Pages 69-90
  6. Juan Carlos De los Reyes
    Pages 91-118
  7. Back Matter
    Pages 119-123

About this book

Introduction

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.

Keywords

Numerical optimization Optimal control Optimality conditions Optimization methods PDE-constrained optimization

Authors and affiliations

  • Juan Carlos De los Reyes
    • 1
  1. 1.Escuela Politécnica Nacional QuitoQuitoEcuador

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-13395-9
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-13394-2
  • Online ISBN 978-3-319-13395-9
  • Series Print ISSN 2190-8354
  • Series Online ISSN 2191-575X
  • Buy this book on publisher's site