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＜電子ブック＞
Numerical PDE-Constrained Optimization / by Juan Carlos De los Reyes
(SpringerBriefs in Optimization. ISSN:2191575X)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	X, 123 p. 13 illus., 2 illus. in color : online resource
著者標目	*De los Reyes, Juan Carlos author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Differential equations LCSH:Numerical analysis FREE:Optimization FREE:Differential Equations FREE:Numerical Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-13395-9

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