大葉大學圖書館 |

Numerical PDE-constrained optimization[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/作者:	Numerical PDE-constrained optimization/ by Juan Carlos De los Reyes.
作者:	De los Reyes, Juan Carlos.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	x, 123 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Constrained optimization.
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Optimization.
標題:	Partial Differential Equations.
標題:	Numerical Analysis.
ISBN:	9783319133959 (electronic bk.)
ISBN:	9783319133942 (paper)
內容註:	Introduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-13395-9

Numerical PDE-constrained optimization[electronic resource] /
De los Reyes, Juan Carlos.

Numerical PDE-constrained optimization[electronic resource] /by Juan Carlos De los Reyes. - Cham :Springer International Publishing :2015. - x, 123 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in optimization,2190-8354. - SpringerBriefs in optimization..

Introduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization.

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.

ISBN: 9783319133959 (electronic bk.)

Standard No.: 10.1007/978-3-319-13395-9doiSubjects--Topical Terms:

467541
Constrained optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 515.353

Numerical PDE-constrained optimization[electronic resource] /
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