Numerical PDE-Constrained Optimization

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Numerical PDE-Constrained Optimization by Juan Carlos De los Reyes, Springer International Publishing
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Author: Juan Carlos De los Reyes ISBN: 9783319133959
Publisher: Springer International Publishing Publication: February 6, 2015
Imprint: Springer Language: English
Author: Juan Carlos De los Reyes
ISBN: 9783319133959
Publisher: Springer International Publishing
Publication: February 6, 2015
Imprint: Springer
Language: English

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.

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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.

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