---

＜電子ブック＞
Optimization with PDE Constraints / by Michael Hinze, Rene Pinnau, Michael Ulbrich, Stefan Ulbrich
(Mathematical Modelling: Theory and Applications ; 23)

版	1st ed. 2009.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XII, 270 p : online resource
著者標目	*Hinze, Michael author Pinnau, Rene author Ulbrich, Michael author Ulbrich, Stefan author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical analysis LCSH:Numerical analysis FREE:Calculus of Variations and Optimization FREE:Analysis FREE:Numerical Analysis
一般注記	Analytical Background and Optimality Theory -- Optimization Methods in Banach Spaces -- Discrete Concepts in PDE Constrained Optimization -- Applications This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework. Furthermore, new structure-exploiting discrete concepts and large scale, practically relevant applications are presented. The main focus is on the algorithmical and numerical treatment of pde constrained optimization problems on the infinite dimensional level. A particular emphasis is on simple constraints, such as pointwise bounds on controls and states. For these practically important situations, tailored Newton- and SQP-type solution algorithms are proposed and a general convergence framework is developed. This is complemented with the numerical analysis of structure-preserving Galerkin schemes for optimization problems with elliptic and parabolic equations. Finally, along with the optimization of semiconductor devices and the optimization of glass cooling processes, two challenging applications of pde constrained optimization are presented. They demonstrate the scope of this emerging research field for future engineering applications HTTP:URL=https://doi.org/10.1007/978-1-4020-8839-1

 類似資料