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Titlebook: Numerical PDE-Constrained Optimization; Juan Carlos De los Reyes Book 2015 The Author(s) 2015 Numerical optimization.Optimal control.Optim

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发表于 2025-3-21 17:38:29 | 显示全部楼层 |阅读模式
书目名称Numerical PDE-Constrained Optimization
编辑Juan Carlos De los Reyes
视频video
概述Clear exposition of first and second order optimality conditions for PDE-constrained optimization problems.Careful and accessible presentation of optimization methods for solving PDE-constrained optim
丛书名称SpringerBriefs in Optimization
图书封面Titlebook: Numerical PDE-Constrained Optimization;  Juan Carlos De los Reyes Book 2015 The Author(s) 2015 Numerical optimization.Optimal control.Optim
描述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.
出版日期Book 2015
关键词Numerical optimization; Optimal control; Optimality conditions; Optimization methods; PDE-constrained op
版次1
doihttps://doi.org/10.1007/978-3-319-13395-9
isbn_softcover978-3-319-13394-2
isbn_ebook978-3-319-13395-9Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightThe Author(s) 2015
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发表于 2025-3-21 22:33:54 | 显示全部楼层
Basic Theory of Partial Differential Equations and Their Discretization,erences. Our aim is to introduce some notions that enable the reader to follow the material developed in the subsequent chapters. Both the analysis and the numerical solution of partial differential equations (PDEs) are research areas by themselves, with a large amount of related literature. We refe
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Basic Theory of Partial Differential Equations and Their Discretization,d the numerical solution of partial differential equations (PDEs) are research areas by themselves, with a large amount of related literature. We refer, for instance, to the books [9,19] for the analysis of PDEs and to, e.g., [23, 52] for their numerical approximation.
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Book 2015. 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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