Numerical PDE-constrained optimization [electronic resource]

• 作者： De los Reyes, Juan Carlos.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in optimization,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in optimization,
• 主題： Constrained optimization. , Differential equations, Partial , Mathematics , Optimization. , Partial Differential Equations. , Numerical analysis
• ISBN： 9783319133959 (electronic bk.) 、 9783319133942 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 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.
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• 摘要註: 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.
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