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＜電子ブック＞
Constrained Optimization and Optimal Control for Partial Differential Equations / edited by Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich
(International Series of Numerical Mathematics. ISSN:22966072 ; 160)

版	1st ed. 2012.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2012
本文言語	英語
大きさ	XII, 624 p : online resource
著者標目	Leugering, Günter editor Engell, Sebastian editor Griewank, Andreas editor Hinze, Michael editor Rannacher, Rolf editor Schulz, Volker editor Ulbrich, Michael editor Ulbrich, Stefan editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical optimization LCSH:Mathematics -- Data processing  全ての件名で検索 FREE:Differential Equations FREE:Optimization FREE:Computational Mathematics and Numerical Analysis
一般注記	Introduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization HTTP:URL=https://doi.org/10.1007/978-3-0348-0133-1

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