© 2015

Numerical PDE-Constrained Optimization

  • 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


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


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.


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

Authors and affiliations

  1. 1.Escuela Politécnica Nacional QuitoQuitoEcuador

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.

Bibliographic information

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