Adaptive finite element methods : optimal control governed by PDEs

＜図書＞
Adaptive finite element methods : optimal control governed by PDEs

責任表示	Wenbion Liu, Ningning Yan
データ種別	図書
出版情報	Beijing : Science Press Oxford : Alpha Science International , c2012
本文言語	英語
大きさ	viii, 197 p. : ill. ; 25 cm
概要	Adaptive Finite Element Methods: Optimal Control Governed by PDEs emphasizes the discussions of some unique issues from the adaptive finite element approximation of optimal control. The main idea used...in the approximation error analysis (both a priori and a posteriori) is to first combine convex analysis and interpolation error estimations of suitable interpolators, which depend on the structure of the control constraints, to derive the error estimates for the control via the variational inequalities in the optimality conditions, and then to apply the standard techniques to derive the error estimates for the state equations. The need, the framework and the techniques of using multi adaptive meshes in developing efficient numerical algorithms for optimal control have been emphasized throughout the book. The book starts from several typical examples of optimal control problems and then discusses existence and optimality conditions for some optimal control problems. Then the finite element approximation schemes for several typical optimal control problems are set up, their a priori and a posteriori error estimates are derived following the main idea mentioned, and their computational methods are studied. Book jacket.続きを見る

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
	: Alpha Science	理系図3F 数理独自	LIU,/49/1	2012		033212012002632		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. [193]-197) and index
著者標目	*Liu, Wenbion Yan, Ningning
書誌ID	1001481696
ISBN	9781842657157
NCID	BB09660724
巻冊次	: Alpha Science ; ISBN:9781842657157
登録日	2012.07.19
更新日	2012.07.19