Adaptive Finite Element Methods: Optimal Control Governed by PDEs

3 avg rating
( 1 ratings by Goodreads )
 
9781842657157: Adaptive Finite Element Methods: Optimal Control Governed by PDEs
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

About the Author:

Wenbin Liu.: University of Kent, U.K. Ningning Yan.: Academy of Mathematics and Systems Sciences Chinese Academy of Sciences, China

"About this title" may belong to another edition of this title.

Buy Used View Book
List Price: US$ 59.95
US$ 153.47

Convert Currency

Shipping: US$ 3.99
Within U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Wenbin Liu, Ningning Yan
Published by Alpha Science Intl Ltd (2012)
ISBN 10: 1842657151 ISBN 13: 9781842657157
Used Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Alpha Science Intl Ltd, 2012. Hardcover. Condition: Used: Good. 1. Seller Inventory # SONG1842657151

More information about this seller | Contact this seller

Buy Used
US$ 153.47
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds