Numerical PDE-Constrained Optimization (SpringerBriefs in Optimization)

Juan Carlos De los Reyes

ISBN 10: 3319133942 / ISBN 13: 9783319133942

Published by Springer 2015-02-28, 2015

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Bibliographic Details

• Title: Numerical PDE-Constrained Optimization (SpringerBriefs in Optimization)
• Publisher: Springer 2015-02-28
• Publication Date: 2015
• Language: English
• ISBN 10: 3319133942
• ISBN 13: 9783319133942
• Binding: Paperback
• Condition: New

About this title

Synopsis

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 Author

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