Optimization in Elliptic Problems With Applications to Mechanics of Deformable Bodies and Fluid Mechanics Litvinov, William G.

Litvinov, William G.

ISBN 10: 3764361999 / ISBN 13: 9783764361990

Published by Birkhäuser, 2000

About this Item

Birkhauser Verlag, 2000, in-8 cartonnage éditeur, 522 pages. Solide couverture en bon état général. Intérieur bien frais. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l?intérieur de l?ouvrage. [BT35+].

Seller Inventory # 1217SUBN5QB

Bibliographic Details

• Title: Optimization in Elliptic Problems With Applications to Mechanics of Deformable Bodies and Fluid Mechanics Litvinov, William G.
• Publisher: Birkhäuser
• Publication Date: 2000
• Language: English
• ISBN 10: 3764361999
• ISBN 13: 9783764361990
• Binding: Hardcover Apr 01, 2000
• Condition: Used: Very Good

About this title

Synopsis

This book is intended to be both a thorough introduction to contemporary research in optimization theory for elliptic systems with its numerous applications and a textbook at the undergraduate and graduate level for courses in pure or applied mathematics or in continuum mechanics. Various processes of modern technology and production are described by el­ liptic partial differential equations. Optimization of these processes reduces to op­ timization problems for elliptic systems. The numerical solution of such problems is associated with the solution of the following questions. 1. The setting of the optimization problem ensuring the existence of a solution on a set of admissible controls, which is a subset of some infinite-dimensional vector space. 2. Reduction of the infinite-dimensional optimization problem to a sequence of finite-dimensional problems such that the solutions of the finite-dimensional problems converge, in a sense, to the solution of the infinite-dimensional problem.3. Numerical solution of the finite-dimensional problems.