Numerical PDE-constrained optimization

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Tác giả: Juan Carlos de los Reyes

Ngôn ngữ: eng

ISBN-10: 3319133942

ISBN-10: 3319133950

ISBN-13: 978-3319133942

ISBN-13: 978-3319133959

Ký hiệu phân loại: 515.353 Partial differential equations

Thông tin xuất bản: Cham : Springer, 2015.

Mô tả vật lý: 1 online resource (x, 123 pages) : , illustrations (some color).

Bộ sưu tập: Khoa học tự nhiên

ID: 107290

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.
Includes bibliographical references and index.
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